A ball attached to a string of length l swings in a horizontal circle, as shown above, with a constant speed. The string makes an angle θ with the vertical, and T is the magnitude of the tension in the string. Express your answers to the following in terms of the given quantities and fundamental constants.
Draw and label vectors to represent all the forces acting on the ball when it is at the position shown in the diagram. The lengths of the vectors should be consistent with the relative magnitudes of the forces.
Determine the mass of the ball.
Determine the speed of the ball.
Determine the period of revolution of the ball.
Suppose that the string breaks as the ball swings in its circular path. Qualitatively describe the trajectory of the ball after the string breaks but before it hits the ground.

Answers

Answer 1

A vector diagram is drawn to represent all the forces acting on the ball at the position shown in the diagram. The mass of the ball is determined by m = T r / g sin θ. The speed of the ball is determined by v = sqrt (rg tan θ). When the string breaks, the ball will move along a parabolic path.

A diagram has been provided in the question. According to the diagram, a ball attached to a string of length l swings in a horizontal circle with constant speed. The string creates an angle θ with the vertical and T is the magnitude of the tension in the string. To draw and label vectors to represent all the forces acting on the ball when it is at the position shown in the diagram, the following three forces need to be identified:Centripetal force, Tension, and Gravity. A vector diagram can be drawn to represent all the forces acting on the ball at the position shown in the diagram. It can be observed that the length of the vector that represents the tension in the string will be less than the length of the vector that represents the force of gravity. This is because tension is the only force that is pulling the ball towards the center, while gravity is acting to pull the ball downwards. The length of the vector that represents the centripetal force is equal to the length of the vector that represents the tension, but pointing in the opposite direction.

Hence, the vector diagram can be represented as follows:

We are given that the ball is attached to a string of length l and swings in a horizontal circle with constant speed. We need to determine the mass of the ball. The centripetal force acting on the ball is given by F = mv²/r, where m is the mass of the ball, v is its velocity, and r is the radius of the circle. T is the tension in the string. At the position shown in the diagram, the horizontal component of T balances the centrifugal force, and the vertical component balances the weight of the ball. Therefore, we can write:

T sin θ = mgT

cos θ = mv²/r

Dividing these two equations, we get:

tan θ = v²/rg => v

sqrt(rg tan θ)To determine the mass of the ball, we can substitute this value of v in the second equation and obtain:

m = T r / g sin θ

We are given that the ball swings in a horizontal circle with constant speed, and we need to determine the speed of the ball. We have already obtained an expression for the speed in the previous step:

v = sqrt(rg tan θ)

Suppose that the string breaks as the ball swings in its circular path. We are asked to qualitatively describe the trajectory of the ball after the string breaks but before it hits the ground. When the string breaks, the ball will move along a straight line in the direction of its instantaneous velocity. This velocity is tangent to the circular path at the point where the string breaks. Since there is no force acting on the ball in the horizontal direction, its horizontal velocity will remain constant. However, the vertical component of its velocity will increase due to the force of gravity acting on the ball. Therefore, the trajectory of the ball after the string breaks will be a parabolic path. The ball will travel along this path until it hits the ground.

A vector diagram is drawn to represent all the forces acting on the ball at the position shown in the diagram. The mass of the ball is determined by m = T r / g sin θ. The speed of the ball is determined by v = sqrt (rg tan θ). When the string breaks, the ball will move along a parabolic path.

To know more about vector visit:

brainly.com/question/32317496

#SPJ11


Related Questions

"Breakup" is one of the factors that cause space debris in
orbit. Give your thoughts on the main causes and countermeasures
for breakups.

Answers

Breakups are a significant contributor to space debris in orbit. Understanding the main causes and implementing effective countermeasures is crucial in mitigating this issue.

Breakups in space occur when satellites, rocket stages, or other objects collide or explode, generating numerous smaller fragments. These fragments then remain in orbit, posing a threat to operational satellites and other spacecraft. There are several causes of breakups, including accidental collisions, intentional destruction of satellites, and the explosion of onboard fuel or batteries. Additionally, natural causes such as micrometeoroid impacts can also contribute to breakups.

To address this issue, various countermeasures are being pursued. Firstly, improved space traffic management is crucial for avoiding accidental collisions. This involves tracking and monitoring space objects to predict potential collisions and taking necessary preventive measures.

Secondly, satellite operators are exploring the use of self-destruct mechanisms to intentionally deorbit satellites at the end of their operational lives, reducing the chances of breakups. Additionally, designing satellites with robust shielding, redundant systems, and proper disposal methods can minimize the risk of explosions and breakups.

Learn more about satellites here:

https://brainly.com/question/6851367

#SPJ11

What mechanical energy transformations took place when water got projected out of the holes?

Answers

When water got projected out of the holes, several mechanical energy transformations took place. The mechanical  involved  are converting potential energy to kinetic energy, kinetic energy to pressure energy, and pressure energy to mechanical energy.

Mechanical energy is the energy of movement, so anything that involves motion or movement involves mechanical energy. Here are the transformations that occurred:

Potential energy to kinetic energy: The water that was stored in the tank had potential energy, which is energy that is stored and waiting to be used. As the water was released from the tank and flowed out of the holes, it gained kinetic energy, which is energy in motion. This transformation occurred because the water began moving from a higher position to a lower position, converting potential energy to kinetic energy.

Kinetic energy to pressure energy:  As the water flowed out of the holes, it created pressure. Pressure energy is the energy that is exerted when a force is applied to a surface. The kinetic energy of the moving water was converted into pressure energy as it hit the surface. This transformation occurred because the water's motion was slowed down by the surface, creating a force that was exerted as pressure energy.

Pressure energy to mechanical energy: The pressure energy that was created when the water hit the surface was transformed into mechanical energy. Mechanical energy is energy that is used to do work, such as moving objects. In this case, the pressure energy was used to move the sprinkler system, which caused the water to be projected out of the holes. This transformation occurred because the pressure energy was converted into a force that was used to move the sprinkler system, converting pressure energy into mechanical energy.

Overall, the mechanical energy transformations that occurred when water was projected out of the holes involved converting potential energy to kinetic energy, kinetic energy to pressure energy, and pressure energy to mechanical energy.

For more such questions on mechanical energy visit:

https://brainly.com/question/28154924

#SPJ8

A crane is used to pick up a 50m long steel beam to place in a building. The beam is uniform, but the crane cable

Answers

The tension in the cable is calculated as 24,990 N. It is given that a crane is used to pick up a 50m long steel beam to place in a building. The beam is uniform, but the crane cable is not. I

The weight of the steel beam = mass of steel beam x gravitational field strength of the Earth

The gravitational field strength of the Earth is equal to 9.8 N/kg, while the mass of the steel beam is 2500 kg.

Weight of steel beam = 2500 kg x 9.8 N/kg

= 24,500 N

Tension in the cable of the crane is equal to the weight of the steel beam plus the weight of the cable.

Tension in the cable = weight of steel beam + weight of cable

The weight of the cable is equal to the mass of the cable x gravitational field strength of the Earth.

Therefore, the weight of the cable is 50 kg x 9.8 N/kg

= 490 N.

Weight of the steel beam = 24,500 N

Weight of the cable = 490 N

The tension in the cable of the crane = weight of steel beam + weight of cable

= 24,500 N + 490 N

= 24,990 N

Therefore, the tension in the cable is 24,990 N.

To know more about tension, refer

https://brainly.com/question/24994188

#SPJ11

what is the direction of acceleration in uniform circular motion

Answers

The direction of acceleration in uniform circular motion is towards the center of the circle. The acceleration is always perpendicular to the velocity and is constantly changing the direction of motion.

The acceleration in uniform circular motion is constant in magnitude but changes its direction with the change in direction of velocity. It acts towards the center of the circle. The net force responsible for this acceleration is known as the centripetal force. The direction of centripetal force is always towards the center of the circle.

In uniform circular motion, the velocity vector of an object moving along a circular path changes continuously. However, the magnitude of velocity remains constant, i.e., it moves with constant speed. The direction of velocity changes because the direction of the object's motion changes. The acceleration in uniform circular motion is given by the equation:

a = v² / r

Where, v is the velocity of the object and r is the radius of the circular path. This equation implies that the magnitude of acceleration increases as the speed of the object increases or the radius of the circular path decreases. But the direction of acceleration is always towards the center of the circle.

The conclusion is that acceleration in uniform circular motion is towards the center of the circle. It is constant in magnitude but changes its direction with the change in direction of velocity. The net force responsible for this acceleration is known as the centripetal force. The direction of centripetal force is always towards the center of the circle.

To know more about uniform circular motion visit:

brainly.com/question/30760049

#SPJ11

how to find the correlation coefficient on a ti 83

Answers

A correlation coefficient is a statistical measure used to evaluate the relationship between two or more variables.

Correlation coefficients are typically represented by the symbol r and range from -1 to +1, with values of -1 indicating a perfect negative correlation, values of +1 indicating a perfect positive correlation, and values of 0 indicating no correlation at all. The closer the correlation coefficient is to -1 or +1, the stronger the relationship between the variables.

To find the correlation coefficient on a TI-83 calculator, you can use the built-in STAT functions. Here are the steps:
1. Enter your data into two lists, one for each variable.
2. Press the STAT key and then select "Edit" to edit the lists.
3. Once your data is entered, press the STAT key again and select "CALC".
4. Scroll down to option 4: LinReg(ax+b) and press enter.
5. You should see a screen that says LinReg, followed by a list of variables.
6. Make sure the Xlist and Ylist variables match the names of the lists you entered your data in.
7. Press the "Enter" key several times to execute the command.
8. The calculator will display several pieces of information, including the correlation coefficient (r).

The TI-83 calculator makes it easy to find the correlation coefficient between two variables using its built-in functions. This statistic can be a powerful tool in analyzing data, as it helps you understand how one variable may affect the other. By understanding the strength and direction of the relationship between variables, you can make more informed decisions and draw more accurate conclusions.

When interpreting correlation coefficients, it's important to keep in mind that correlation does not necessarily imply causation. Just because two variables are correlated does not mean that one causes the other. However, correlation can be a useful tool in identifying potential relationships that may warrant further investigation.

In conclusion, finding the correlation coefficient on a TI-83 calculator is a simple process that can help you better understand the relationship between two variables. By entering your data and using the calculator's built-in functions, you can quickly calculate the correlation coefficient and use this information to draw more accurate conclusions. However, it's important to keep in mind that correlation does not equal causation and that additional analysis may be needed to fully understand the relationship between variables.

To know more about correlation coefficient visit:

brainly.com/question/29704223

#SPJ11

Which phrase describes scientific law

Answers

A scientific law is an established principle that explains a phenomenon or behavior in the natural world. It is a concise statement that summarizes the results of many observations and experiments and is widely accepted as true because it has been confirmed over and over again.

Scientific laws do not explain why something happens, but rather they describe how something behaves under certain conditions. They provide a basis for predicting how things will behave in the future based on past experience. Scientific laws can be expressed mathematically, but not all scientific laws are mathematical equations. Some examples of scientific laws are the laws of thermodynamics, Newton's laws of motion, and the law of gravity. The law of gravity, for example, states that any two objects in the universe attract each other with a force that is proportional to their masses and inversely proportional to the square of the distance between them. This law has been confirmed countless times through observations and experiments, and it has become a fundamental principle of physics. Scientific laws are not the same as scientific theories, which are explanations for why something happens. Theories are more complex and have not been confirmed as thoroughly as scientific laws. However, scientific laws and theories work together to form the basis of scientific understanding of the natural world.

For such more question on Newton's laws of motion

https://brainly.com/question/28171613

#SPJ8

The minute hand of a clock completes one revolution in one hour. There are 3,600 seconds in one hour. Calculate the frequency of the minute hand

Answers

The frequency of the minute hand is 1/60 Hz. Given that the minute hand of a clock completes one revolution in one hour and there are 3,600 seconds in one hour.

To calculate the frequency of the minute hand: Frequency of the minute hand = No. of revolutions per secondFirstly, let us calculate the number of revolutions of the minute hand in one second.1 hour = 60 × 60 = 3600 secondsIn one hour, the minute hand completes 1 revolution. So, in 1 second, the minute hand completes 1/3600 of the revolution.Now, we can calculate the frequency of the minute hand.

Frequency of the minute hand = No. of revolutions per second Frequency of the minute hand = 1/3600 HzTo calculate the frequency of the minute hand, we can use the following steps: Step 1: Calculate the number of revolutions of the minute hand in one second.1 hour = 60 × 60 = 3600 seconds In one hour, the minute hand completes 1 revolution.

To know more about frequency visit:

https://brainly.com/question/31938473

#SPJ11

Air pressure is measured in which of the following units?
A. Steridian
B. Kg/mts
C. Newton
D. Pascal

Answers

Air pressure is measured in the units of Pascal.

What is air pressure? Air pressure is the force exerted by air particles per unit of surface area. The earth's atmosphere exerts air pressure. The atmosphere of the earth's weight creates atmospheric pressure. Air pressure is affected by the mass of the atmosphere above a region, the temperature, and the planet's gravitational field. The air pressure at sea level is usually 1013 hPa or 1013 mbar. Air pressure is measured using a variety of units including Pascal (Pa), Kilopascal (kPa), Bar (bar), Millibar (mbar), and pounds per square inch (psi).

Air pressure is the force per unit area exerted by air molecules on the surface of the earth. Atmospheric pressure is the weight of air molecules over an area on the earth's surface. Air pressure is calculated in units of force per unit area. The common units for measuring air pressure are Pascals (Pa), Kilopascals (kPa), Bar (bar), Millibar (mbar), and pounds per square inch (psi). Pascal is the standard unit for measuring air pressure. It is named after the French mathematician, Blaise Pascal. One Pascal is defined as one newton per square meter. Pascal is usually the unit used by meteorologists in weather forecasting. In SI units, air pressure is measured in Pascal (Pa), where 1 Pa = 1 N/m². Since 1 Newton is the amount of force needed to accelerate 1 kilogram of mass at the rate of 1 meter per second per second. Pascal is equivalent to a force of 1 Newton per square meter. Therefore, the correct answer to the question is D. Pascal.

Air pressure is measured in units of force per unit area. Pascal is the standard unit for measuring air pressure. It is named after the French mathematician, Blaise Pascal. One Pascal is defined as one newton per square meter. Pascal is usually the unit used by meteorologists in weather forecasting. In SI units, air pressure is measured in Pascal (Pa), where 1 Pa = 1 N/m².

To know more about temperature visit:

brainly.com/question/7510619

#SPJ11

Underground water artificial recharge research design and
methodology

Answers

Underground water artificial recharge research design and methodology refers to the process of introducing water into an underground aquifer artificially. It is usually done to replenish groundwater supplies and ensure sustainable use in areas where the natural recharge rate is low.

Artificial recharge of groundwater involves three primary stages: Source water treatment:

The first stage is the treatment of source water to remove impurities that could negatively impact the aquifer. Depending on the quality of the source water, treatment may be minimal or extensive.

Injection or percolation: The treated water is then injected or percolated into the soil to recharge the aquifer. Injection wells are commonly used in urban areas where space is limited. In rural areas, recharge basins are often used to allow the water to percolate naturally into the soil.

Monitory and measurement: Finally, the system must be monitored to ensure that water is being introduced into the aquifer at a safe and sustainable rate. A monitoring system should track the water level in the aquifer, water quality, and other factors that may impact the success of the recharge program.

Research Design and Methodology: This section outlines the specific procedures and techniques used to achieve the objectives of a study. It usually includes a description of the study design, data collection methods, and statistical analysis techniques. The research design should be comprehensive, precise, and tailored to the specific research question. The methodology is the process of collecting data and analyzing it to determine the answers to specific research questions. It should be based on the study design and should be detailed and thorough. The methodology should be designed to minimize biases and ensure the accuracy and validity of the results.

Learn more about percolation here ;

https://brainly.com/question/30410369

#SPJ11

which factor would tend to increase the density altitude at a given airport?

Answers

High temperature and high elevation tend to increase the density altitude at a given airport.

Several factors can contribute to an increase in density altitude at a given airport. Density altitude is the altitude at which the air density corresponds to a particular set of atmospheric conditions. Here are some factors that can increase density altitude:

1. High temperature: Warmer temperatures reduce air density, resulting in a higher density altitude. As the temperature increases, the molecules in the air become more energetic and spread out, decreasing their density.

2.High elevation: Air density decreases with increasing altitude. Therefore, airports located at higher elevations will inherently have higher density altitudes compared to those at lower elevations, assuming all other factors remain constant.

3. Humidity: Moisture in the air reduces air density. Higher humidity levels displace some of the oxygen and nitrogen molecules, resulting in a decrease in air density and an increase in density altitude.

4. High pressure altitude: Pressure altitude, which is the altitude indicated on an altimeter when it is set to the standard atmospheric pressure of 29.92 inches of mercury, is directly related to density altitude. Higher pressure altitudes, caused by high-pressure weather systems or altimeter setting errors, will correspond to higher density altitudes.

It's important to note that density altitude affects aircraft performance, as it influences engine power, lift, and aerodynamic characteristics. Pilots and aircraft operators must consider density altitude when planning and conducting flights to ensure safe and efficient operations.

To know more about Pressure altitude, visit:

https://brainly.com/question/30767288

#SPJ11

A convex spherical mirror has a radius of curvature of magnitude 38.0 cm.
(a) Determine the position of the virtual image and the magnification for object distances of 33.0 cm. (Indicate the location of the image with the sign of your answer.)
image location cm
magnification (b) Determine the position of the virtual image and the magnification for object distances of 43.0 cm. (Indicate the location of the image with the sign of your answer.)
image location 3 cm
magnification 4
(c) Are the images in parts (a) and (b) upright or inverted?
The image in part (a) is 5---
The image in part (b) is 6---

Answers

A convex spherical mirror has a radius of curvature of magnitude 38.0 cm. We have calculated the position of the virtual image and the magnification for object distances of 33.0 cm and 43.0 cm. The images formed are virtual, and the image formed is erect.

A convex spherical mirror has a radius of curvature of magnitude 38.0 cm. The position of the virtual image and the magnification for object distances of 33.0 cm are:

Image location: 22.5 cm

Magnification: 0.58

The magnification formula is given by:

magnification = -v / u

Where ,-u is the object distance-v is the image distance for a concave mirror (negative for virtual image)-v is the image distance for a convex mirror (positive for virtual image)

Therefore, -u = -33 cm

33 cm (as the object is on the same side as the virtual image and the center of curvature)-v

33 = 1 / f (where f is the focal length of the convex mirror, which is half the radius of curvature)

v / 33 = 1 / (38/2)

v / 33 = 0.0263

v = 0.0263

33 = 0.868 cm (up to three significant figures)-

087 cm

The position of the virtual image is 0.87 cm in front of the mirror. Since the image is virtual, it is formed behind the mirror. Therefore, the sign of the answer is negative. Magnification is given by:

magnification = -v / u= -0.868

33= -0.0263

Magnification is equal to -0.0263.

The position of the virtual image and the magnification for object distances of 43.0 cm are:

Image location: 31.4 cm

Magnification: 0.93The magnification formula is given by:

magnification = -v / u

Where, -u is the object distance-v is the image distance for a concave mirror (negative for virtual image)-v is the image distance for a convex mirror (positive for virtual image)

Therefore, -u = -43 cm (as the object is on the same side as the virtual image and the center of curvature)-v / 43 = 1 / f (where f is the focal length of the convex mirror, which is half the radius of curvature)

v / 43 = 1 / (38/2)-v / 43

0.0263-v

0.0263 × 43 1.13 cm (up to three significant figures)

v ≈ 1.13 cm

The position of the virtual image is 1.13 cm in front of the mirror. Since the image is virtual, it is formed behind the mirror. Therefore, the sign of the answer is negative. Magnification is given by: magnification

v / u= -1.13 / 43

-0.0263

Magnification is equal to -0.93. The images in parts (a) and (b) are upright, as the magnification is less than 1. They are virtual, and the image formed is erect. Hence, the answer is as follows:

Image location: -0.87 cm

Magnification: -0.0263

Image location: -1.13 cm

Magnification: -0.93

A convex spherical mirror has a radius of curvature of magnitude 38.0 cm. We have calculated the position of the virtual image and the magnification for object distances of 33.0 cm and 43.0 cm. The images formed are virtual, and the image formed is erect. The images in parts (a) and (b) are upright, as the magnification is less than 1.

To know more about magnitude visit:

brainly.com/question/28714281

#SPJ11

How will climate change affect our future lifestyles if it
continues to get worse?

Answers

Climate change worsens: extreme weather, rising seas, disrupted agriculture, health risks, migration increase; significantly impacting future lifestyles.

Climate change, if left unchecked, will lead to a range of consequences that will profoundly affect our lifestyles. One of the most notable effects will be an increase in extreme weather events such as hurricanes, droughts, and heatwaves.

These events can cause widespread destruction of infrastructure, loss of life, and displacement of communities. Rising sea levels, resulting from the melting of glaciers and polar ice, will also pose a significant threat to coastal areas, leading to erosion, flooding, and the loss of habitable land.

Agriculture and food production will be greatly impacted by climate change. Changes in temperature and precipitation patterns will disrupt growing seasons, decrease crop yields, and affect livestock production. This disruption in food production can lead to food shortages, price hikes, and increased competition for resources.

Furthermore, climate change can have adverse effects on human health. The spread of diseases, such as malaria and dengue fever, may increase as the geographical range of disease-carrying vectors expands. Heatwaves and air pollution can also contribute to respiratory and cardiovascular problems.

The impacts of climate change are likely to result in increased migration as people are forced to leave their homes due to rising sea levels, droughts, or other extreme weather events. This displacement can lead to social, economic, and political challenges as communities struggle to accommodate large numbers of migrants.

Additionally, conflicts over resources, such as water and arable land, may arise in regions where these resources become scarce. In summary, if climate change continues to worsen, our future lifestyles will be significantly affected.

We can expect to face more frequent and severe extreme weather events, rising sea levels, disruptions to agriculture and food production, health risks, and increased migration. Addressing climate change and implementing sustainable practices is crucial to mitigate these potential impacts and create a more resilient and sustainable future.

Learn more displacement here:

https://brainly.com/question/11934397

#SPJ11

How do humans use their eyes to measure relative distance by parallax?
a. By continuously focusing our eyes on distant objects, we can determine distance.
b. Since our eyes are separated, the brain interprets the relative look angles of the two eyes in terms of distance to the object viewed.
c. Our eyes can measure the time it takes light to travel from an object, and from this we get distance.
d. As we move our heads from side to side, our brain compares angles from each of these positions to work out the distance to the object viewed.

Answers

The correct answer is b. Since our eyes are separated, the brain interprets the relative look angles of the two eyes in terms of distance to the object viewed.

Humans use a visual phenomenon called parallax to measure relative distance. Parallax is the apparent shift in the position of an object when viewed from different angles. Because our eyes are separated, each eye captures a slightly different view of the same object. The brain then processes the relative angles of the two eyes' views to determine the distance to the object.

By comparing the differences in the images received by each eye, the brain can calculate the parallax and use it as a depth cue to estimate the distance of the object. This is known as binocular parallax, and it is an important mechanism in our perception of depth and distance.

Option a is incorrect because continuously focusing our eyes on distant objects alone does not provide us with the information needed to determine distance. Option c is incorrect because our eyes cannot directly measure the time it takes light to travel from an object. Option d is incorrect because while head movements can contribute to depth perception, the primary mechanism for measuring relative distance by parallax is the interpretation of the relative angles from the two eyes.

Learn more about parallax visit:

brainly.com/question/29656791

#SPJ11

A solid sphere is allowed to accelerate down a rough incline. Which of the following are true statement The ball experiences no net torque in this scenario : The weight of the ball provides a net torque on the ball ME: The force of friction provides a net torque on the ball a. I only b. II only c. III only d. II and III

Answers

The correct option is (b) II only.In this scenario, the following statements are true:II. The weight of the ball provides a net torque on the ball.

The weight of the ball acts vertically downward and creates a torque when the ball rolls down the incline. This torque tends to rotate the ball about its center of mass.However, statement III is false:III. The force of friction provides a net torque on the ball.

The force of friction acts parallel to the incline and opposes the motion of the ball. Since it acts along the direction of motion, it does not create a torque. Torque is the cross product of the force and the lever arm, and the lever arm in this case would be zero because the force of friction is applied at the point of contact.Therefore, only statement II is true, indicating that the weight of the ball provides a net torque on the ball.

Learn more about torque and rotational motion here:

https://brainly.com/question/30338164

#SPJ11

Conservation of angular momentum means that a spinning body tends to.

Answers

Conservation of angular momentum means that a spinning body tends to maintain its rotational speed or angular velocity unless acted upon by an external torque.

Angular momentum is a property of a rotating object and is determined by the product of its moment of inertia (a measure of its resistance to rotational motion) and its angular velocity (rate of rotation). According to the principle of conservation of angular momentum, the total angular momentum of a system remains constant in the absence of external torques.

When no external torque is applied to a spinning body, its angular momentum remains unchanged. This means that if the body is spinning with a certain angular velocity, it will continue to rotate at that speed unless an external torque acts on it. This is similar to the conservation of linear momentum, where an object in motion tends to maintain its velocity unless acted upon by external forces.

The conservation of angular momentum has several implications. For example, when a spinning figure skater pulls their arms closer to their body, they decrease their moment of inertia, causing their angular velocity to increase, thus conserving their angular momentum. Similarly, when a planet or star contracts due to gravitational forces, it rotates faster to conserve its angular momentum.

To know more about angular velocity;

https://brainly.com/question/32217742

#SPJ11

.The main reason for building large optical telescopes on the Earth's surface is: a. that there is a lot of money in science that needs to get spent
b. to collect as much light as possible from faint objects c. no reason at all just national pride
d. that the warm temperatures of the Earth's surface allow for easier telescope operation

Answers

The main reason for building large optical telescopes on the Earth's surface is to collect as much light as possible from faint objects.

Option B is the correct choice. Large optical telescopes are constructed on the Earth's surface primarily to maximize the collection of light from distant and faint celestial objects. By having a larger aperture, these telescopes can gather more photons, increasing the sensitivity and resolution of the observations.

The Earth's atmosphere also plays a significant role in the operation of optical telescopes. While it can introduce some challenges due to atmospheric turbulence, advancements in adaptive optics have helped mitigate these effects. The presence of an atmosphere also offers the advantage of filtering certain wavelengths, allowing astronomers to conduct observations in specific ranges of the electromagnetic spectrum.

Options A, C, and D are not accurate explanations for why large optical telescopes are built on the Earth's surface. The motivation behind constructing such telescopes is primarily driven by scientific goals and the desire to enhance our understanding of the universe through improved light collection capabilities

To know more about optical telescopes, visit: https://brainly.com/question/15003524

#SPJ11

Decide whether the following statement is True or False. For noncrystalline ceramics, plastic deformation occurs by the motion of dislocations.

Answers

Non-crystalline ceramics deform by viscous flow instead of dislocation motion, True

Ceramics are inorganic compounds. They can be non-metallic or solid materials that can be comprised of metals, non-metal or atoms. Ceramics are known are hard and strong in compression but weak in tension and shearing, these materials are also known for their brittle properties.

Ceramics exits in two major types, these are: crystalline ceramics and non-crystalline ceramics. Crystalline ceramics are those that can easily be shaped to situ, formed with powders and sintered to form a solid body.

On the other hand non-crystalline ceramics are more of glass and formed through melting. They have no regular crystalline structure, and also have no slip or dislocations in them

Non-crystalline ceramics when deforming, they allow ions to slide past each other, hence deforms by breaking and reforming bonds. A condition known as viscous flow.

Thus, the statement given is True, option a is correct.

Learn more about Non-crystalline ceramics here:

brainly.com/question/14300602

#SPJ11

The star Altair is 5.15 pc from Earth. a. What is the distance to Altair in kilometers (use powers of ten notation)? b. How many years does it take for light leaving Altair to reach Earth?

Answers

The distance to Altair is approximately 1.58935 × 10^14 kilometers. it takes approximately 5.304 years for light leaving Altair to reach Earth.

a. To calculate the distance to Altair in kilometers, we can use the conversion factor 1 parsec (pc) = 3.09 × 10^13 kilometers.

Given that Altair is 5.15 pc from Earth, we can multiply this value by the conversion factor:

Distance to Altair = 5.15 pc × (3.09 × 10^13 km/pc) = 1.58935 × 10^14 km.

Therefore, the distance to Altair is approximately 1.58935 × 10^14 kilometers.

b. To determine how long it takes for light leaving Altair to reach Earth, we need to consider the speed of light. The speed of light in a vacuum is approximately 299,792 kilometers per second.

Using the distance calculated in part a, we can divide it by the speed of light to find the time it takes for light to travel from Altair to Earth:

Time = Distance/Speed of light = (1.58935 × 10^14 km)/(299,792 km/s) ≈ 5.304 years.

Therefore, it takes approximately 5.304 years for light leaving Altair to reach Earth.

This means that when we observe Altair from Earth, we are actually seeing the light that left Altair about 5.304 years ago. The information we receive about Altair's current state is delayed by this travel time of light.

Learn more about speed of light here:

https://brainly.com/question/1555553

#SPJ11

assume the temperature of the exhaust in an exhaust pipe can be approximated by

Answers

Assuming the temperature of the exhaust in an exhaust pipe can be approximated by Newton's Law of Cooling.

Newton's Law of Cooling describes the rate at which the temperature of an object changes when it is in contact with a medium of different temperature. According to this law, the rate of temperature change is proportional to the temperature difference between the object and the surrounding medium.

In the context of an exhaust pipe, the temperature of the exhaust gases can be approximated using this law. The exhaust gases, being hot, will lose heat to the surrounding environment, which is typically cooler. The rate of heat loss will depend on factors such as the surface area of the pipe, the thermal conductivity of the pipe material, and the temperature difference between the exhaust gases and the environment.

By applying Newton's Law of Cooling, it is possible to estimate the temperature of the exhaust gases over time as they flow through the exhaust pipe and interact with the surrounding environment. This approximation allows for analyzing heat transfer dynamics and understanding how the exhaust temperature changes along the pipe's length.

To know more about Newton's Law of Cooling, visit:

https://brainly.com/question/29840586

#SPJ11

which is not true about innervation of skeletal muscle?

Answers

Innervation of skeletal muscle, which refers to the movement of the muscles, involves the central and peripheral nervous systems.

Skeletal muscles are innervated by motor neurons in the peripheral nervous system, which is an intricate system that connects the central nervous system to the rest of the body. Each nerve fiber in the peripheral nervous system is made up of axons and is linked to the muscle fiber. However, the nerve fibers are surrounded by Schwann cells that create an insulation layer, allowing for quicker nerve conduction velocities. Regarding your question, the statement that is not true about the innervation of skeletal muscle is that innervation does not have any impact on the number of muscle fibers that are present within a particular muscle. The innervation of skeletal muscle refers to the number of muscle fibers that are connected to a single nerve fiber. This is known as the motor unit. Each motor unit can have a varying number of muscle fibers, which is based on the size and function of the muscle.

Innervation of skeletal muscle refers to the movement of the muscles and is innervated by motor neurons in the peripheral nervous system. The number of muscle fibers connected to a single nerve fiber is referred to as the motor unit. The innervation of skeletal muscle has an impact on the number of muscle fibers that are present within a particular muscle.

To know more about nervous systems visit:

brainly.com/question/3239081

#SPJ11

find the direction of the magnetic force on the proton for each situation.

Answers

Actual direction of the magnetic force will depend on the specific orientation and magnitude of the velocity and magnetic field vectors in each situation.

To determine the direction of the magnetic force on a proton in a given situation, you need to consider the right-hand rule for magnetic fields.

The right-hand rule states that if you point your right thumb in the direction of the proton's velocity (V) and your fingers in the direction of the magnetic field (B), then the direction in which your palm faces will indicate the direction of the magnetic force (F) on the proton.

Here are a few scenarios with their respective directions of the magnetic force on the proton:

1. Proton moving perpendicular to the magnetic field:

  - If the proton moves perpendicular to the magnetic field, the force on the proton will be perpendicular to both the velocity and the magnetic field.

  - Use your right hand: Point your thumb in the direction of the proton's velocity and your fingers in the direction of the magnetic field. The palm of your hand will face the direction of the magnetic force on the proton.

2. Proton moving parallel or at an angle to the magnetic field:

  - If the proton moves parallel or at an angle to the magnetic field, the force on the proton will be perpendicular to the plane formed by the proton's velocity and the magnetic field.

  - Determine the direction of the perpendicular component of the proton's velocity and follow the right-hand rule as described above.

To know more about magnetic field, visit:

https://brainly.com/question/30331791

#SPJ11

Do you think being certified as compliant to ISO 14001:2015 ensures that the establishment is minimizing their negative effects in the environment? Why or why not? Back up your answers with data and statistics. ( PLEASE TYPE UR ANSWER )

Answers

Being certified as compliant to ISO 14001:2015, which is the international standard for environmental management systems, is a significant step towards minimizing negative environmental effects. However, it does not guarantee that an establishment is completely eliminating or minimizing all of its environmental impacts.

ISO 14001:2015 provides a framework for organizations to establish and implement an effective environmental management system (EMS). It encourages organizations to identify and assess their environmental aspects, set environmental objectives and targets, implement controls and measures, and continually improve their environmental performance. This systematic approach helps organizations to manage their environmental responsibilities and reduce their environmental footprint. While ISO 14001 certification demonstrates a commitment to environmental management, its effectiveness ultimately depends on how well the organization implements and maintains the EMS. The success of environmental impact reduction also relies on factors such as the organization's industry, scale of operations, resources, and the specific actions taken to address environmental issues. It is important to note that ISO 14001 certification does not provide specific data or statistics on the actual environmental impact reduction achieved by an organization. The standard focuses on the establishment of a management system rather than quantifying specific environmental outcomes. To evaluate the actual impact reduction, organizations need to track and measure their environmental performance indicators, such as energy consumption, water usage, waste generation, and greenhouse gas emissions. These metrics can provide a more accurate assessment of an establishment's efforts in minimizing negative environmental effects.

Learn more about ISO 14001 certification here:

https://brainly.com/question/31447200

#SPJ11

Final answer:

Being compliant to ISO 14001:2015 indicates that an establishment implements environmental management systems. However, the concrete effect on minimizing negative environmental impacts depends on the organization's actual implementation and may not be immediately quantifiable.

Explanation:

The ISO 14001:2015 is a globally recognized standard for environmental management systems. Therefore, being certified compliant denotes that the establishment adheres to strategies designed to positively impact the environment and minimize negative effects. However, its effective implementation largely depends on the commitment and practice of the organization. As per a study by ISO.org, about 312,000 certificates issued in 171 countries around the world. However, the increase in ISO 14001 certifications does not directly correspond to significant environmental impact reduction.

This is because the certification focuses more on the process and continually doing better rather than a specific quantifiable environmental performance outcome. ISO 14001:2015  encourages a continuous cycle of planning, implementing, reviewing, and improving the processes and actions that an organization undertakes to meet its environmental obligations, but its direct quantifiable implications aren't always immediate or easily calculated.

Learn more about ISO 14001:2015 and environmental impact here:

https://brainly.com/question/33291113

#SPJ2

A rock is thrown upward at 50 degrees with respect to the horizontal. As it rises, its horizontal component of velocity A) increases B) decreases C) remains the same

Answers

As the rock is thrown upward at 50 degrees with respect to the horizontal, its horizontal component of velocity remains the same.

The horizontal component of velocity is the component of velocity that is parallel to the horizontal axis. In this case, when the rock is thrown upward, the vertical component of velocity increases due to the effect of gravity pulling it downward. However, the horizontal component of velocity remains unaffected by the upward motion. As a result, it maintains its initial value throughout the trajectory of the rock. Therefore, option C) remains the same is the correct choice.

To know more about velocity, visit:

https://brainly.com/question/18084516

#SPJ11

Discuss the pros and cons of directional felling compared to the
conventional system of harvesting

Answers

Directional felling is a harvesting technique that offers several advantages over the conventional system. However, it also has some drawbacks that need to be considered.

Directional felling, also known as precision felling, involves cutting trees in a specific direction to control their fall. One of the significant advantages of directional felling is increased safety. By carefully planning the direction of the fall, workers can minimize the risk of accidents and injuries.

Additionally, directional felling allows for more precise and controlled harvesting, reducing the potential for damage to surrounding trees, vegetation, and wildlife habitats. This method is particularly beneficial in sensitive ecosystems or areas with limited space.

However, directional felling also has its drawbacks. It requires specialized training and skill to ensure that trees fall in the intended direction. Inexperienced operators may struggle to accurately predict the tree's trajectory, leading to unintended consequences such as damage to nearby infrastructure or property.

Moreover, directional felling can be time-consuming and labor-intensive since each tree must be carefully assessed and cut individually. This can slow down the overall harvesting process, which may not be practical in large-scale operations.

In conclusion, directional felling offers improved safety and precision in harvesting operations, making it a favorable choice in certain situations. However, the need for skilled operators and potential time constraints should be considered when deciding whether to use this technique. Proper training and careful planning are crucial to maximize the benefits of directional felling while minimizing its limitations.

Learn more about precision here:

https://brainly.com/question/28336863

#SPJ11

to what two free states does douglass finally escape?

Answers

Frederick Douglass, an American social reformer, abolitionist, orator, writer, and statesman, finally escapes to two free states. These two states were Massachusetts and New York.

The two free states to which Frederick Douglass finally escapes. And those two states are Massachusetts and New York. Therefore, the main answer is, "Frederick Douglass finally escapes to Massachusetts and New York

Frederick Douglass was an African American social reformer, writer, abolitionist, orator, and statesman. He was born into slavery in Maryland in the year 1818 and escaped slavery in the year 1838. He escaped to the north where he married his wife, Anna Murray, who had already escaped slavery. He had to change his name from Frederick Bailey to Frederick Douglass to avoid being caught. Douglass became a prominent leader of the abolitionist movement, which fought to end slavery in the United States. After escaping slavery, he finally escapes to two free states, Massachusetts and New York.

Frederick Douglass was an advocate of equal rights for all people, and he devoted his life to achieving this goal. He was a key figure in the abolitionist movement and helped to change the course of American history. He wrote several books about his experiences as a slave, including his first book, Narrative of the Life of Frederick Douglass, an American Slave. This book was a best-seller and helped to raise awareness about the issue of slavery. Douglass continued to work for equal rights throughout his life, and his legacy lives on today.

The two free states to which Frederick Douglass finally escapes. Frederick Douglass finally escapes to Massachusetts and New York. He was a prominent leader of the abolitionist movement and a key figure in American history. He devoted his life to achieving equal rights for all people, and his legacy lives on today.

To know more about Massachusetts visit:

brainly.com/question/7148546

#SPJ11

the parking brake should be tested while the vehicle is

Answers

The parking brake should be tested while the vehicle is parked to ensure that it is in good working condition.

The parking brake is a vital safety feature that keeps the car from moving or rolling away when it is parked. When the car is parked on an incline, the parking brake is even more important to hold it in place. As a result, it is critical that the parking brake be inspected and tested frequently to ensure that it is in good working order. Prior to using the parking brake, make sure that the car's foot brake is securely applied. To set the parking brake, pull the brake handle upward. A ratcheting sound may be heard as the handle is pulled upward, indicating that the parking brake is correctly secured. The brake lever should not move upward or downward once the parking brake is secured. If it does, it indicates that the parking brake is not correctly set and requires repair or replacement. Failure to keep the parking brake in good operating condition could result in the car rolling away and causing harm or injury to individuals or property.

In conclusion, the parking brake should be tested while the vehicle is parked. The parking brake is a crucial safety feature that prevents the vehicle from rolling away when parked. Before using the parking brake, make sure the vehicle's foot brake is firmly applied. The parking brake should be securely set and not move upward or downward once it is engaged. Failure to maintain the parking brake in good working condition could result in severe consequences.

To know more about  brake lever visit:

brainly.com/question/24381230

#SPJ11

erikson's fourth stage of psychosocial development focuses on _____.

Answers

Erikson's fourth stage of psychosocial development focuses on industry vs. inferiority.

Industry vs. inferiority is Erikson's fourth stage of psychosocial development. During this period, children's curiosity and enthusiasm are coupled with a desire to achieve more than they can do. They want to feel accomplished and recognized in their surroundings by doing what they are doing well. They want to learn new talents and perfect their skills. However, this stage also poses a significant risk of inferiority for children if they do not achieve success. This may result in the child feeling discouraged, insufficient, or incompetent. According to Erikson, it is essential for parents, family, and educators to encourage children's efforts and provide constructive feedback to help them in this phase. Encouragement from parents, peers, and teachers helps children to build a positive self-image and increase self-confidence.

Erik Erikson's fourth stage of psychosocial development is Industry vs. inferiority. During this stage, children's enthusiasm, curiosity, and desire to achieve more are mixed with a yearning to succeed. Children seek to feel accomplished and recognized by those around them by performing well and gaining positive feedback. They also aim to learn new skills and hone their existing abilities to become experts at their chosen field. If they do not achieve success during this stage, it can pose a significant risk of inferiority, making the child feel inadequate, insufficient, or incompetent. Erikson believed that it is important for parents, peers, and educators to provide children with positive feedback and encouragement during this phase. This will help them build a positive self-image and boost their self-confidence. When children feel confident, they will be more likely to try new things, take risks, and develop new skills that will benefit them in the long run.

Erikson's fourth stage of psychosocial development is Industry vs. inferiority. During this stage, children are eager to succeed and desire recognition for their achievements. When they do not achieve success, it can lead to feelings of inferiority, inadequacy, and incompetence. It is important for parents, peers, and educators to provide positive feedback and encouragement to help children build a positive self-image and boost their self-confidence. This will help them develop new skills and become confident individuals in the future.

To know more about psychosocial visit:

brainly.com/question/30764283

#SPJ11

5 ohms resistors are connected in parallel, the equivalent resistance is?​

Answers

How many resistors and is it the same value?
The formula you use is 1/Rt= 1/R1+1/R2

A heat engine has a heat input of 3 x 10^4 btu/h and a thermal efficiency of 40 percent. Calculate the power it will produce, in hp.

Answers

The heat engine will produce approximately 4.71 horsepower. The power produced by a heat engine can be calculated using the formula:

Power = Heat Input * Thermal Efficiency

Given that the heat input is 3 x 10^4 btu/h and the thermal efficiency is 40 percent (or 0.4), we can substitute these values into the formula:

Power = (3 x 10^4 btu/h) * 0.4

Calculating the expression:

Power = 1.2 x 10^4 btu/h

To convert the power from btu/h to horsepower (hp), we can use the conversion factor: 1 hp = 2545 btu/h.

Therefore, the power produced by the heat engine is:

Power = (1.2 x 10^4 btu/h) / 2545 btu/hp

Simplifying the expression:

Power ≈ 4.71 hp

The heat engine will produce approximately 4.71 horsepower.

Learn more about heat engines and power calculations here:

brainly.com/question/12972553

#SPJ11

One end of a spring with spring constant k is attached to the wall. The other end is attached to a block of mass m. The block rests on a frictionless horizontal surface. The equilibrium position of the left side of the block is defined to be x=0. The length of the relaxed spring is L.(Figure 1)
The block is slowly pulled from its equilibrium position to some position xinit>0 along the x axis. At time t=0 , the block is released with zero initial velocity.
The goal of this problem is to determine the acceleration of the block a(t) as a function of time in terms of k, m, and xinit.
It is known that a general solution for the position of a harmonic oscillator is
x(t)=Ccos(ωt)+Ssin(ωt),
where C, S, and ω are constants. (Figure 2)
Your task, therefore, is to determine the values of C, S, and ω in terms of k, m,and xinit and then use the connection between x(t) and a(t) to find the acceleration.
QUESTION: Using the fact that acceleration is the second derivative of position, find the acceleration of the block a(t) as a function of time.

Answers

The acceleration of the block is given by a(t) = -ω²xinitcos(ωt), where ω = sqrt(k/m). It is derived from the second derivative of the position function x(t) and relates to the spring constant k, mass m, and initial displacement xinit.The acceleration of the block as a function of time is given by a(t) = -ω²(Ccos(ωt) + Ssin(ωt)), where ω² = k/m.

To determine the acceleration of the block as a function of time, we start by finding the constants C, S, and ω in terms of k, m, and xinit. Since the block is released from rest, its initial velocity is zero, which means that x(0) = Ccos(0) + Ssin(0) = C. Therefore, C = xinit. S. At t = 0, the block is at xinit, so x(0) = xinit = xinitcos(0) + Ssin(0) = xinit. This implies that S = 0.

Now that we have the values of C and S, we can express the position of the block as x(t) = xinitcos(ωt). Taking the second derivative of x(t) with respect to time gives us the acceleration: a(t) = -ω²xinitcos(ωt).

Finally, we need to find the value of ω. The angular frequency ω is related to the spring constant k and the mass m through the equation ω² = k/m. Therefore, ω = sqrt(k/m).

The acceleration of the block as a function of time is a(t) =-ω²xinitcos(ωt), where ω = sqrt(k/m).

Learn more about acceleration

brainly.com/question/2303856

#SPJ11

Other Questions
a child or adolescent's family is often responsible for the child's mental disorder. If a set S contains exactly n elements, we say n is the cardinality or size of S and write |S| = n. There exists a useful formula for determining the cardinality of any power set: If |S| = n, then |P(S)| = 2. Using this fact, answer the following questions regarding the power set. Remember that the Numbas syntax for {1, 2, 3} is set (1,2,3). Note also that Numbas syntax uses ^ for exponentiation. For example, 39 should be entered as 3^9. For any set A, we know that P(A) must contain the elements {} and A itself. Consider the case where A = {} is the empty set. What is P({})? Show steps (Your score will not be affected.) Answer: b) Given that | B| = 1, what is |P(P(P(B)))|? Show steps (Your score will not be affected. Select one: A. add $27 to the cash at bank book balance. B. add $27 to the bank's balance. C. deduct $27 from the bank's balance. D. deduct $27 from the cash at bank book balance. Chinese isolation negatively affected their economy. Given the following information what must be the risk-free ratein this economy?Expected return of asset = .15Beta of asset = 1.73Expected return of market = 0.1Answer as a percentage to two decim Kuala Lumpur International Airport (KLIA) (IATA: KUL, ICAO: WMKK) is Malaysia's main international airport and one of the biggest airports in Southeast Asia and worldwide. It is located in Sepang District of Selangor, approximately 45 kilometres (28 mi) south of Kuala Lumpur city centre and serves the Greater Klang Valley conurbation.KLIA is the largest and busiest airport in Malaysia. In 2020, it handled 13,156,363 passengers, 505,184 tonnes of cargo and 124,529 aircraft movements. It is the world's 23rd-busiest airport by total passenger traffic.An ambitious three-phase development plan anticipates KLIA to have three runways and two terminals each with two satellite terminals. Phase One involved the construction of the main terminal and one satellite terminal, giving a capacity of 25 million passengers, and two full service runways.Brief the holistic ideas to sustainable aviation industry recovery after the pandemic is over. Which one of the four basic tissue types gives rise to most cancers? Why might this type of tissue be so susceptible to cancer? PLEASE ANSWER AS SOON AS POSSIBLE AND IN DETAIL.BUSINESS ETHICS AND LEGAL ENVIRONMENTQ1: The term privacy does not appear anywhere in the Constitution of the United States. Discuss (meaning share your opinion and support it with anecdotes or evidence) whether or not the Supreme Court was correct in finding privacy in the Constitution.Q2: According to the Montana Wrongful Discharge from Employment Act, what are the three elements of a wrongful discharge? Yakima Traders sells clothing to the public. A constant gross profit percentage of 40% on cost price is maintained. The following transactions took place during April 2022. Ignore VAT. 1. M Mathilda, the owner of Yakima Traders, transferred R150 000 of his own funds to the entity's bank account. Purchased trading inventory from Estrella Enterprises on credit, R65 943 . Received invoice EE295. 4. Issued credit invoice 364 to D Doble, R31 619. The balance on D Doble's account was R15 689 on 1 April 2022. 5. Paid monthly rent, R28 880 , via electronic transfer, referenced T0401, to El Bulli. 6. Received a payment from D Doble of 50% of the balance on his account. Issued receipt no. REC567. Received an invoice from Alpha Enterprises for stationery, R5 458. The invoice was paid by electronic transfer, referenced T0402. 7. Cash sales, R25 949. Receipt no. REC568 was issued and the amount was banked on the same day. 11. Purchased a new desk for the office on credit from Amber Manufacturers, as well as consumables of R500. Received invoice A954 for R5 149. 12. Received proof of R12 987 deposited in Yakima Trader's bank account by a debtor, F Adria. Issued receipt no. R569. Received damaged goods with a sales value of R4 739 returned by D Doble and issued credit note CN56. 19. The telephone accounts of the owner, R548, and Yakima Traders, R2 956, were paid to TelCo via electronic transfer, referenced T0403. 20. Sold goods on credit to F Forster, R12 110. Issued credit invoice 365 . 21. Settled the account of Estrella Enterprises in full, referenced T0404. No discount was allowed and the balance on this account at the beginning of the month was R4 057. 22. Paid salaries, R59 850, via electronic transfer to Yakima Traders' employees, referenced T0405. 29. D Doble settled his account in full. The amount was deposited directly in Yakima's bank account. Issued receipt no. REC570. 30. The following transactions appeared on the bank statement: credit interest, R269; bank charges, R85; and the monthly insurance instalment, R6 781 . Required: Prepare the following: 2.1. Cash Receipts Journal (9) 2.2. Cash Payments Journal 2.3. Debtors/Sales Journal (14) 2.4. Creditors/Purchases Journal (4) 2.5. Debtors Allowances Journal "price" in the statement of the law of supply refers to: A market is a means through which buyers and sellers are brought together to aid in the transfer of goods and/or services. A stock is more diversified than a mutual fund. An 80 year old person, on a fixed income, with a low risk tolerance should have a conservative allocation Only the stocks of large companies are traded in the primary market. A good secondary market is important to the efficiency of the primary market. A ROTH IRA is perfect for a high-income earner that makes over 200 K per year. MULTIPLE CHOICE - 5 pts each 1. All of the following are considered fixed income investments except a. Corporate bonds. b. Preferred stock. c. Treasury bills, notes, and bonds. d. Money market mutual funds. e. Certificates of deposit (CDs). a biologist took a count of the number of fish in a particular lake Write comprehensive notes on the Influence of leadership as a driver of strategy implementation. Roberto made a line plot to show the weight in pounds of the bags of granola in his store he concluded that the total weight of the granola was 2/1/2+2/3/4+3=8/1/4 pounds Forecasting is important for a purchaser to know to know how many ingredients are needed to purchase to prevent spoilage True False Assume a merchandising companys estimated sales for January, February, and March are $107,000, $127,000, and $117,000, respectively. Its cost of goods sold is always 60% of its sales. The company always maintains ending merchandise inventory equal to 20% of next months cost of goods sold. It pays for 20% of its merchandise purchases in the month of the purchase and the remaining 80% in the subsequent month. What is the accounts payable balance at the end of February? Latitude and Longitude Answer Sheet 1. What information does the latitude of a location tell you? 2. What information does the longitude of a location tell you? 3. By Googling or searching another search engine, what is the approximate latitude and longitude of the place where you live? Record your source too. 4. Explain how minutes and seconds are used to identify a location more precisely. In rising temperatures, why does the author choose to begin the selection by using a rhetorical device-an anecdote about golf-to support her argument? use examples to support your answer Use continuity to evaluate the limit. lim 2 sin(x + sin(x)) PLSSS HELP ME 14 POINTS