The force of static friction is

Answers

Answer 1

Static friction is the frictional force that opposes the motion of stationary objects when an external force is acting upon them. It is the force of friction that prevents an object from sliding or moving when a force is applied to it. Static friction is different from kinetic friction, which is the force of friction between two objects that are in motion relative to each other.

The force of static friction depends on two factors: the normal force acting on the object and the coefficient of static friction between the object and the surface it is in contact with. The normal force is the perpendicular force that acts on an object in contact with a surface, such as the force of a book resting on a table.

The coefficient of static friction is a dimensionless quantity that represents the frictional force between two objects in contact with each other. It is dependent on the materials of the objects in contact with each other and is always greater than or equal to the coefficient of kinetic friction.

Static friction is an important force in many areas of physics and engineering. It plays a role in the design of machines, the movement of vehicles, and the behavior of materials under different conditions. Understanding static friction is crucial for engineers and scientists to design efficient and effective systems and structures.

For more such questions on Static friction, click on:

https://brainly.com/question/25050131

#SPJ8


Related Questions

Two students are canoeing on a river. While heading
upstream, they accidentally drop an empty bottle overboard. They
then continue paddling for 2 hours, reaching a point 2.5 km
farther upstream. At this point they realize that the bottle is
missing and, driven by ecological awareness, they turn around
and head downstream. They catch up with and retrieve the bottle
(which has been moving along with the current) 4.0 km downstream
from the turnaround point. (a) Assuming a constant paddling effort
throughout, how fast is the river flowing? (b) What would the canoe
speed in a still lake be for the same paddling effort?

Answers

The speed of the river flowing is 3.75 km/h, and the canoe speed in a still lake for the same paddling effort is 3.6 km/h (approximately).

The distance between the two points upstream and downstream is equal to the distance traveled by the empty bottle. Hence, the distance traveled by the bottle = distance traveled by canoeists = 4 km.Total distance traveled = distance upstream + distance downstreamTotal distance traveled = 2.5 + 4 = 6.5 kmTotal time taken = 2 hours upstream + (4/6) hours downstream (since they are covering 4 km in downstream with the current flowing downstream)Total time taken = 3.67 hours upstream + downstreamFrom the definition of speed, the speed upstream is given by:Speed upstream = distance/time upstreamSpeed upstream = 2.5/2Speed upstream = 1.25 km/hSimilarly, the speed downstream is given by:Speed downstream = distance/time downstream Speed downstream = 4/(4/6)Speed downstream = 6 km/hThe speed of the canoe in still water is given by the average of the upstream and downstream speeds:Speed in still water = (1.25 + 6)/2Speed in still water = 3.625 km/h or 3.6 km/h (approximately).

for such more questions on speed

https://brainly.com/question/13943409

#SPJ8

A carousel is (more or less) a disk of mass, 15,000 kg, with a radius of 6.14. What torque must be applied to create an angular acceleration of 0.0500 rad/s^2?round to 3 significant figures

(Plssss help me im suffering from severe brainrot)

Answers

To calculate the torque required to create an angular acceleration, we can use the formula:

Torque = Moment of Inertia × Angular Acceleration

The moment of inertia of a disk can be calculated using the formula:

Moment of Inertia = (1/2) × Mass × Radius^2

Given:

Mass = 15,000 kg

Radius = 6.14 m

Angular Acceleration = 0.0500 rad/s^2

First, calculate the moment of inertia:

Moment of Inertia = (1/2) × Mass × Radius^2

Moment of Inertia = (1/2) × 15,000 kg × (6.14 m)^2

Next, calculate the torque:

Torque = Moment of Inertia × Angular Acceleration

Torque = Moment of Inertia × 0.0500 rad/s^2

Now, let's plug in the values and calculate:

Moment of Inertia = (1/2) × 15,000 kg × (6.14 m)^2

Moment of Inertia ≈ 283,594.13 kg·m^2

Torque = 283,594.13 kg·m^2 × 0.0500 rad/s^2

Torque ≈ 14,179.71 N·m

Rounding to three significant figures, the torque required to create an angular acceleration of 0.0500 rad/s^2 is approximately 14,180 N·m.

[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]

♥️ [tex]\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]

jack runs a company in the US He exchanges goods and services with parties and is from other countries which t activity is jack
Reset
Next

Answers

Since he runs a company in the US He exchanges goods and services with parties, Jack is engaged in international trade.

What is international trade?

International trade is the exchange of goods and services between countries. It is a major driver of economic growth and prosperity. Jack's company can benefit from international trade in a number of ways. First, it can access new markets and customers. Second, it can source lower-cost inputs from other countries. Third, it can diversify its risk by selling to customers in multiple countries.

However, Jack's company also faces some challenges when engaging in international trade. First, it must deal with different languages, cultures, and legal systems. Second, it must comply with import and export regulations. Third, it must manage the risk of currency fluctuations.

Find out more on international trade here: https://brainly.com/question/14926566

#SPJ1

A 1.2 kg ball drops vertically onto a floor hitting with a speed of 15 m/s

Answers

The magnitude of the change in momentum is 36 kg m/s.

The momentum of an object is defined as the product of its mass and velocity.

The symbol for momentum is p. Its unit is kilogram meters per second (kg m/s). When a ball falls vertically onto a surface, the momentum is said to change.

The magnitude of the change in momentum can be found by calculating the difference between the initial momentum and the final momentum.

We can use the equation below to find the change in momentum.Δp = pf - pi

Where Δp is the change in momentum, pf is the final momentum, and pi is the initial momentum.The initial momentum of the ball can be found using the equation:

p = mv

where p is momentum, m is mass and v is velocity.

Therefore, the initial momentum of the ball is:

p = mv= 1.2 kg × 15 m/s= 18 kg m/s

The final momentum can be found using the same equation, but with a negative velocity since the ball is bouncing back with the same speed but opposite direction.

Therefore, the final momentum is:-18 kg m/s/

The change in momentum can now be calculated using the equation:

Δp = pf - piΔp = (-18 kg m/s) - (18 kg m/s)Δp = -36 kg m/s

Therefore, the magnitude of the change in momentum is 36 kg m/s.

For more such questions on momentum, click on:

https://brainly.com/question/18798405

#SPJ8

Thomas the Train chugs along at 2 m/s. Thomas needs to go faster so more coal is shoveled into his engine and he accelerates for 10 seconds until he is going 4.33 m/s. What is Thomas' acceleration?

Answers

The acceleration of Thomas is 0.233 m/s^2.

Acceleration is the rate of change of velocity. Thomas the Train chugs along at a velocity of 2 m/s.

Thomas needs to go faster so more coal is shoveled into his engine and he accelerates for 10 seconds until he is going 4.33 m/s.

We are to find the acceleration of Thomas.

The formula for acceleration is given as :

acceleration = (final velocity - initial velocity) / time

In the given problem, the initial velocity of Thomas, u = 2 m/s.

The final velocity of Thomas, v = 4.33 m/s The time for which Thomas accelerates, t = 10 s.

Therefore, the acceleration of Thomas will be given as:

a = (v - u) / ta = (4.33 - 2) / 10s => 2.33 / 10s => 0.233 m/s^2

Thus, the acceleration of Thomas is 0.233 m/s^2.

To summarize, the acceleration of Thomas is 0.233 m/s^2.

For more such questions on acceleration, click on:

https://brainly.com/question/460763

#SPJ8

report of "fan made of plastic bottle" with string

Answers

Fan made of plastic bottle is an innovative way to reuse plastic bottles and can be easily made at home. This can be done by following simple steps, and a few materials are required to make it. The fan can be created by using a plastic bottle, scissors, string, a ruler, and a marker.

First, the bottle needs to be cut into half, and the upper part needs to be cut into three equal sections, then fold each section to make a blade. With the help of a ruler and marker, make a mark on each section, then make a hole in the center of each blade. Insert a string through the holes and tie the ends of the strings. The fan is ready to use by holding the string and swinging it back and forth.

The use of plastic bottle fans can significantly reduce the number of plastic waste and provide a practical solution to avoid environmental pollution. Besides, it is easy to make, and the materials are readily available, which can be used for various occasions, such as picnics, camping, or any outdoor activities.

In conclusion, the creation of a fan made of plastic bottle with string is an excellent way to reuse plastic bottles and can be made with simple steps. This project encourages everyone to contribute to environmental protection by utilizing what is available at home and reducing the number of plastic wastes.

For more such questions on Fan, click on:

https://brainly.com/question/29220424

#SPJ8

A boy throws an arrow at an original speed of 2m / s to create an angle 0 referring to the balloon at a distance of 3m from the departure point. Calculate the angle 0 and the height of the arrow. Let g = 10m / s2.

Answers

Calculate the horizontal component of the velocity. The horizontal component of the velocity is given by:

v_x = v * cos(theta)

where v is the original speed of the arrow and theta is the angle of projection.In this case, v = 2 m/s and theta is unknown. Solving for theta, we get:

theta = arccos(v_x / v)

theta = arccos(2 / 2) = 45 degrees

Calculate the vertical component of the velocity. The vertical component of the velocity is given by:

v_y = v * sin(theta)

In this case, v = 2 m/s and theta = 45 degrees. Solving for v_y, we get:

v_y = 2 * sin(45 degrees) = 1.414 m/s

Calculate the time of flight. The time of flight is given by:

t = 2 * v_y / g

In this case, v_y = 1.414 m/s and g = 10 m/s^2. Solving for t, we get:

t = 2 * 1.414 / 10 = 0.283 seconds

Calculate the height of the arrow. The height of the arrow is given by:

y = v_y * t - 0.5 * g * t^2

In this case, v_y = 1.414 m/s, t = 0.283 seconds, and g = 10 m/s^2. Solving for y, we get:

y = 1.414 * 0.283 - 0.5 * 10 * 0.283^2 = 0.303 meters

Therefore, the angle of projection is 45 degrees and the height of the arrow is 0.303 meters.

Answer the following Critical Thinking Questions. Each answer is worth 5 points, for a total of 25 points.

A particular star is 20 pc away from the Earth, and its luminosity is 160 times the luminosity of the Sun and has a surface temperature of 4000 K. Its absolute magnitude is -0.66. The temperature of the Sun is 5800 K. Explain/show your work.

What is this star's parallax?
What is this star's spectral class?
What is the wavelength at which this star radiates the most energy?
What is this star's apparent magnitude?
What is this star's radius, in solar radii?

Answers

The distance to the star in parsecs is given as 20 pc.

Using the absolute magnitude (M) and apparent magnitude (m) relation, we can find the star's apparent magnitude:

m - M = -5 + 5 log(d)

where d is the distance to the star in parsecs.

Plugging in the values we have, we get:

m - (-0.66) = -5 + 5 log(20)

m = 3.34

Therefore, this star's apparent magnitude is 3.34.

The star's luminosity is 160 times that of the Sun.

Using the Stefan-Boltzmann law, we can find the star's radius:

L = 4πR²σT⁴

where L is the luminosity, R is the radius, σ is the Stefan-Boltzmann constant, and T is the surface temperature.

We can write the ratio of the star's luminosity to that of the Sun as:

L/Lsun = (R/Rsun)²(T/Tsun)⁴

Plugging in the values we have, we get:

160 = (R/Rsun)²(4000/5800)⁴

Solving for R, we get:

R = 10.7 R⊙

Therefore, this star's radius is 10.7 times that of the Sun.

Using Wien's law, we can find the wavelength at which the star radiates the most energy:

λmax = 2.898 × 10⁶ / T

Plugging in the values we have, we get:

λmax = 724.5 nm

Therefore, this star radiates most of its energy at a wavelength of 724.5 nm.

The star's surface temperature is 4000 K.

Using the Harvard spectral classification system, we can find the star's spectral class based on its surface temperature:

O B A F G K M
50,000 10,000 7500 6000 5200 3700 2400

The star's surface temperature falls in the range of a K-type star.

Therefore, this star's spectral class is K.

Finally, we can use the definition of parallax to find the star's parallax:

p = 1/d

where p is the parallax in arcseconds and d is the distance to the star in parsecs

Using a suitable diagram illustrate the following as applicable to the wave . 1. crest 2. Trough 3. Amplitude 4.Wavelength 5.Period

Answers

The images that shows the terms have been attached to this answer.

What does the terms mean?

A  crest refers to the highest point or peak of a wave. It represents the maximum positive displacement or upward excursion of the wave from its rest position.

A trough is the maximum negative displacement or downward excursion of the wave from its rest position.

The amplitude of a wave refers to the maximum displacement or distance from the rest position to either the crest or the trough.

The wavelength is the  distance between two adjacent crests or two adjacent troughs. In other words, it is the length of one complete wave cycle.

Period is the the duration between two corresponding points in a wave, such as two adjacent crests or troughs passing a fixed point.

Learn more about wavelength:https://brainly.com/question/32900586

#SPJ1

Suppose that you drop a marble from the top of a building, which is about 890 m tall. If you ignore air resistance, how long will it take for the marble to hit the ground?

Answers

The marble will take approximately 12 seconds to hit the ground, ignoring air resistance.

To solve this problem we can use the equations of motion that are given as below:

Vf = Vi + atX =[tex]Vi*t + 1/2*a*t^2Vf^2 = Vi^2 + 2*a*X[/tex]

Where:Vf = final velocity, Vi = initial velocity, a = acceleration, X = distance traveled, and t = time taken.For a freely falling object near the surface of the earth, we can assume that the acceleration due to gravity is constant at 9.8 [tex]m/s^2[/tex] (downward direction).

At the top of the building, the initial velocity is zero. Hence, using the equation, [tex]Vf^2 = Vi^2 + 2*a*X[/tex], we can find the final velocity, Vf, just before the marble hits the ground.

So, we have:[tex]Vf^2 = 2*a*X[/tex]

where, X = 890 m (height of the building) and

a = 9.8[tex]m/s^2Vf[/tex]

  = sqrt(2*9.8*890) ≈ 118 m/s

Now, using the equation, Vf = Vi + at, we can find the time, t, taken by the marble to reach the ground. So, we have:118 = 0 + 9.8*t.

Therefore, t = 118/9.8 ≈ 12 seconds.

Therefore, the marble will take approximately 12 seconds to hit the ground, ignoring air resistance.

Know more about  resistance   here:

https://brainly.com/question/17563681

#SPJ8

An ancient building was known to have been built 3,000 years ago. Approximately what proportion of Carbon-14 atoms are yet in the building's wooden framing compared to the number which were present at the time of its construction? (half life of 14C = 5,730 years)

Answers

83.2% of the original 14Carbon atoms present in the wooden framing of the ancient building at the time of its construction are still present today.

The half-life of Carbon-14 (14C) is 5,730 years, which means that after this time, half of the 14C atoms in a sample will have decayed. Using this information, we can estimate the proportion of remaining 14C atoms in the wooden framing of an ancient building that was constructed 3,000 years ago.

Since 3,000 years have passed, we can calculate the number of half-lives that have occurred by dividing the time elapsed (3,000 years) by the half-life of 14C (5,730 years). In this case, approximately 0.524 half-lives have occurred (3,000 / 5,730 ≈ 0.524).

With each half-life, the number of 14C atoms is halved. Therefore, after 0.524 half-lives, the proportion of remaining 14C atoms in the wooden framing can be estimated to be approximately [tex]0.5^{0.524}[/tex], which is about 0.832 or 83.2%. The rest have decayed over time. It is worth noting that this estimation assumes a constant rate of decay and no additional 14C uptake or loss since the construction of the building.

Know more about Half life here:

https://brainly.com/question/1160651

#SPJ8

A precondition for perfect competition is that
the product should be homogeneous. True or false

Answers

The given statement, "A precondition for perfect competition is that the product should be homogeneous" is true.

Perfect competition is a market structure in which numerous small firms compete against each other with identical or homogeneous products, and no one firm can influence the market price independently.

In a perfectly competitive market, there is free entry and exit of firms, perfect knowledge of the market, and no barriers to entry.What does homogeneous mean?Homogeneous products refer to goods or services that are identical or very similar in nature and have the same level of quality and features. Examples of homogeneous products include agricultural goods, basic raw materials, commodities, and so on.

In perfect competition, all firms offer identical products to customers. Homogeneous products are essential to ensure that no single firm has an advantage over others in terms of quality or price. If there were differences in quality or price, customers would prefer to buy from the firm with the lowest price or highest quality. This would give that firm a competitive advantage over others in the market.

As a result, it would no longer be a perfectly competitive market, since one firm could influence the market price independently. Therefore, the precondition for perfect competition is that the product should be homogeneous, which means that all firms should offer identical or very similar products to their customers.

For more such questions on precondition, click on:

https://brainly.com/question/30850850

#SPJ8

A student plucks a guitar string and the vibrations produce a sound wave with a frequency of 650 hertz. The sound wave produced can best be described as a

Answers

Answer:

I think its could be C

Explanation:

I think c because it makes the most sense and seems logical

Initial velocity: U = ?
Final velocity: v = 0
Gravity: g = 9,8 ms²
Height: h = 20m

v² = u² + 2gh
0 = u² + 2 (-9,8ms²) x 20m​

Answers

The initial velocity of the object in motion is determined as 19.8 m/s.

What is the initial velocity of the object?

The initial velocity of the object in motion is calculated by applying the third equation of motion as follows;

v² = u² + 2gh

where;

v is the final velocity of the objectu is the initial velocity of the objectg is acceleration due to gravityh is the height through which the object rises

when the object reaches maximum height, the final velocity, v = 0

The initial velocity of the object in motion is calculated as;

0 =  u² + 2 (-9,8ms²) x 20m​

0 =  u² - 392

u² = 392

u = √392

u = 19.8 m/s

Learn more about initial velocity here: https://brainly.com/question/19365526

#SPJ1​

how does mass relates to latent heat?​

Answers

The mass of a substance is not directly related to latent heat. Instead, latent heat is a parameter that describes the amount of energy required or released during a phase shift of a substance.

What is latent heat?​

Latent heat can be thought of as hidden energy that is supplied or extracted to change the state of a substance without changing its temperature or pressure.

Latent heat is energy released or absorbed, by a body or a thermodynamic system, during a constant-temperature process—typically a first-order phase transition.

Learn more about latent heat here:

https://brainly.com/question/10850467

#SPJ1

6. A force of F = (6x²i+4j) N acts on a particle that moves from point A with coordinates (2,2) m to point B with coordinates (3,4) m. How much work is done on the particle as it moves from point A to point B?​

Answers

The work done by the force to move the particle from A to B is 18(3)² + 8= 170 J.

Given a force of F = (6x²i+4j) N acts on a particle that moves from point A with coordinates (2,2) m to point B with coordinates (3,4) m.

We need to calculate how much work is done on the particle as it moves from point A to point B.

The work done W is given by the dot product of the force and displacement vectors.

W = F .

s where s is the displacement vector from A to B.W

= (6x²i+4j) . (3i + 2j)W = (6x²)(3) + (4)(2)W = 18x² + 8 J

The work done by the force is 18x² + 8 J.

Therefore, the work done by the force to move the particle from A to B is 18(3)² + 8= 170 J.

For more such questions on work, click on:

https://brainly.com/question/28356414

#SPJ8

indirect comparison method of measurements​

Answers

The indirect comparison method of measurements is a method for measuring quantities that are difficult to measure directly or that cannot be measured directly. The method is based on comparing the quantity to be measured to a known standard or reference quantity that is related to the quantity being measured. The indirect comparison method can be used for measuring a wide range of quantities, including length, mass, volume, and time.

To use the indirect comparison method, the first step is to select a known standard or reference quantity that is related to the quantity being measured. For example, to measure the length of an object, a ruler or tape measure could be used as a standard.

Next, the standard is used to measure the reference quantity, such as the length of the ruler. This measurement is then used to calculate the conversion factor between the reference quantity and the quantity being measured. For example, if the ruler is 30 cm long and the length of the object is 4 times the length of the ruler, then the length of the object is 120 cm.

The indirect comparison method is useful when direct measurement is not possible or when the accuracy of the measurement needs to be improved. It is often used in scientific research and engineering to measure quantities such as distance, speed, and flow rate.

For more such questions on indirect comparison, click on:

https://brainly.com/question/1762582

#SPJ8

A cell of inter resistance of 0.5 ohm is connected to coil of resistance 4 ohm and 8 ohm joined in parallel.If there is current of 2A in 8 ohm,find the emf of the cell.​

Answers

A cell of inter resistance of 0.5 ohm is connected to coil of resistance 4 ohm and 8 ohm joined in parallel.If there is current of 2A in 8 ohm, the electromotive force (emf) of the cell is approximately 14.5 volts.

To find the emf of the cell, we can apply Ohm's Law and Kirchhoff's laws to analyze the circuit.

Given:

Resistance of the coil, R1 = 4 ohm

Resistance of the other resistor, R2 = 8 ohm

Current passing through the 8-ohm resistor, I = 2A

First, let's analyze the parallel combination of the 4-ohm and 8-ohm resistors.

The total resistance of two resistors in parallel can be calculated using the formula:

1/Rp = 1/R1 + 1/R2

Substituting the given values, we have:

1/Rp = 1/4 + 1/8

1/Rp = 2/8 + 1/8

1/Rp = 3/8

Rp = 8/3 ohm

Now, let's consider the total resistance in the circuit, which includes the internal resistance of the cell (0.5 ohm) and the parallel combination of the resistors (8/3 ohm).

R_total = R_internal + Rp

R_total = 0.5 + 8/3

R_total = 1.833 ohm

Now, we can find the emf of the cell using Ohm's Law:

emf = I * R_total

emf = 2 * 1.833

emf ≈ 3.667 volts

Therefore, the emf of the cell is approximately 3.667 volts.

However, it is worth noting that the given current of 2A passing through the 8-ohm resistor does not affect the emf calculation since the emf of the cell is independent of the current in the circuit.

For more such questions on emf, click on:

https://brainly.com/question/13744192

#SPJ8

Which of the following are examples of light behaving like an electromagnetic wave? Choose all that apply.

Group of answer choices

Compton scattering

interference through two slits

diffraction through one slit

photoelectric effect

refraction

Answers

The examples of light behaving like an electromagnetic wave are Compton scattering, interference through two slits, diffraction through one slit, and refraction.

Light is a type of electromagnetic radiation that is composed of electromagnetic waves. Light behaves like an electromagnetic wave in several ways. Electromagnetic waves are transverse waves that travel through a vacuum. They don't need a medium to propagate. Light can behave like an electromagnetic wave in several ways. Let's discuss each option in the question.
Compton scattering: Compton scattering is a phenomenon in which an incident X-ray or gamma-ray photon collides with an electron resulting in a scattered photon and a recoiling electron. It can only be explained by assuming that light behaves as both waves and particles. Therefore, Compton scattering is an example of light behaving like an electromagnetic wave.
Interference through two slits: When light passes through two narrow slits separated by a distance that is small compared to the wavelength of the light, it will diffract and interfere. The interference pattern will be characterized by bright and dark fringes. This phenomenon is an example of light behaving like an electromagnetic wave.
Diffraction through one slit: When light passes through a single narrow slit, it diffracts and creates an interference pattern similar to that produced by two slits. This phenomenon is an example of light behaving like an electromagnetic wave.
Photoelectric effect: The photoelectric effect is a phenomenon in which electrons are ejected from a metal surface when light shines on it. The photoelectric effect can be explained by assuming that light behaves as a stream of particles or photons. Therefore, the photoelectric effect is not an example of light behaving like an electromagnetic wave.
Refraction: Refraction is the bending of light as it passes from one medium to another, such as from air to water. It can be explained by assuming that light behaves like an electromagnetic wave. Therefore, refraction is an example of light behaving like an electromagnetic wave.

for such more questions on electromagnetic

https://brainly.com/question/13874687

#SPJ8

A boy throws an arrow at an original velocity of 2m / s, aiming to create an angle 0, referring to the balloon at a distance of 3m from the point of departure. Calculate the angle 0 and the height of the arrow.

Answers

Answer:

s=0.204m

Explanation:

Assuming that the arrow is thrown horizontally and there is no air resistance, we can use the following formula to calculate the launch angle 0:

tan(0) = opposite/adjacent = height/distance

where opposite is the height that the arrow reaches and adjacent is the distance to the balloon.

Rearranging the formula, we get:

0 = arctan(height/distance)

0 = arctan(height/3)

Taking the tangent of both sides, we get:

tan(0) = tan(arctan(height/3))

tan(0) = height/3

Now, we need to find the height of the arrow. Using the kinematic equation:

v^2 = u^2 + 2as

where v is the final velocity (0m/s, at maximum height), u is the initial velocity (2m/s), a is acceleration (-9.8m/s^2, due to gravity) and s is the distance travelled vertically until the arrow reaches maximum height.

At maximum height, the final velocity is 0m/s. Therefore, we have:

0 = (2m/s)^2 + 2(-9.8m/s^2)s

Solving for s, we get:

s = 0.204m

Therefore, the height of the arrow is approximately 0.204m.

Question 2 A mass of 100N is suspended from two ropes, 3m and 4m long respectively, attached to two points 5m apart. Find the tension in the rope. (4 marks) 3 m 5 m W = 100 N​

Answers

The tension in the rope is 100 N.

1. Draw a diagram representing the given scenario. The mass of 100N is suspended from two ropes, one measuring 3m and the other measuring 4m, attached to two points 5m apart. Label the mass as "W" and the distances as given.

2. Break down the forces acting on the mass. There are two vertical forces: the tension in the 3m rope and the tension in the 4m rope. Additionally, there is a horizontal force due to the weight of the mass.

3. Apply the principle of equilibrium in the vertical direction. Since the mass is not moving vertically, the sum of the vertical forces must be zero. The tension in the 3m rope can be represented as T1, and the tension in the 4m rope as T2. Therefore, T1 + T2 - W = 0.

4. Apply the principle of equilibrium in the horizontal direction. Since there are no horizontal accelerations, the sum of the horizontal forces must be zero. In this case, the horizontal force is simply T2. Therefore, T2 = 0.

5. Solve the system of equations formed in step 3. Substitute the value of T2 from step 4 into the equation T1 + T2 - W = 0. This gives T1 + 0 - W = 0. Rearrange the equation to isolate T1, resulting in T1 = W.

6. Substitute the given value for W (100N) into the equation to find T1. T1 = 100N.

7. Therefore, the tension in the rope is 100N.

For more such questions on tension, click on:

https://brainly.com/question/24994188

#SPJ8

A car is moving north at 5.2 m/s². Which type of motion do the SI units in this value express?
A. Displacement
B. Velocity
C. Speed
D. Acceleration​

Answers

A car is moving north at 5.2 m/s². SI unit in this value is m/s² (meter per second square), expressing Acceleration. Thus, Option D is the correct answer.

Here Acceleration of any object is given by the Rate of change in velocity in relation to time.

[tex]Acceleration = \frac{velocity}{time}[/tex] ............(i)

The standard Indian (SI) unit of Acceleration is meter per second square(m/s²).

The velocity of any object is displacement per unit time.

[tex]velocity = \frac{Displacement}{Time}[/tex]............(ii)

The standard Indian (SI) unit of Velocity is meter per second(m/s)

The Displacement of any object is the shortest distance covered by any object considering the direction of motion also.

The standard Indian (SI) unit of displacement is meter(m).

The standard Indian (SI) unit of Time is Second(s).

We can find standard Indian (SI) unit of Acceleration using formula as follows:

[tex]Acceleration= \frac{Velocity}{time*time}[/tex]  (we got this formula from (i), (ii) )

The standard Indian (SI)  units of acceleration are [tex]=\frac{m}{s*s}[/tex]

[tex]=m/s^{2}[/tex]

Read more about Acceleration:

https://brainly.com/question/605631

imagine you have been closed in a car where their pieces of cardboard and 2 mirrors,a masking tape and a pair of scissors as you're inside you hear your friends talking about something funny using the materials inside the car design an instrument you can use to see what is happening outside support your design with the scientific report ​

Answers

To design an instrument using the available materials (cardboard, mirrors, masking tape, and scissors) that would allow you to see what is happening outside the car, we can create a periscope-like device. Here’s a suggested design along with a brief scientific explanation:

Design:

1. Take one of the pieces of cardboard and cut out a rectangular shape, approximately 15 cm by 20 cm, to serve as the main body of the instrument.
2. Cut two smaller rectangular pieces from the cardboard, each measuring about 7 cm by 10 cm. These will be used as the mirrors.
3. Using the masking tape, attach one mirror to each end of the main cardboard piece, angled at 45 degrees relative to the main body.

Scientific Explanation:
The principle behind this design is the reflection of light. When light hits a mirror, it undergoes reflection, bouncing off the mirror’s surface at an equal angle to the incident angle. By placing the mirrors at 45-degree angles, the light entering one mirror will reflect off it and into the second mirror, ultimately reaching your eyes.

As you look through one end of the periscope-like instrument, the light from outside will enter the first mirror, reflect off it, and then reflect off the second mirror, finally reaching your eyes. This allows you to see objects and events occurring outside the car, even though you are inside.
Final answer:

To see what is happening outside the car using the available materials, you can design a periscope using mirrors, cardboard, masking tape, and scissors.

Explanation:

To design an instrument to see what is happening outside the car, we can make a periscope using the materials available. A periscope uses mirrors to reflect the light and images, allowing us to see around corners or over obstacles. Using the mirrors, cardboard, masking tape, and scissors, we can create a periscope by positioning one mirror at a 45-degree angle, reflecting the image towards the second mirror which is positioned horizontally to observe the outside environment. By adjusting the angles and positions of the mirrors, we can see what is happening outside the car without directly looking out.

Learn more about Designing a periscope to observe the outside environment here:

https://brainly.com/question/33516654

#SPJ2

Please help (science)
Plate Boundaries on Earth
Plate boundaries represent parts of the Earth where plates come in contact with one another. There are different ways in which these plates can move and interact. In this assignment, you will identify each type of plate movement and create an illustration to represent this.

Open the worksheet to get started. Use the criteria below to see what you should include in this assignment.

Row 1: Plate Boundary (Movement)

Write the type of plate boundary: convergent, divergent, transform.

Write the correct description for each in parentheses below the name: sliding, separating, or colliding.

Row 2: Diagram

Draw a diagram or illustration of the plate movement at the plate boundary. Include arrows to show whether the plates are colliding, separating, or dividing.

Row 3: Lithosphere (Created or Destroyed)

Identify whether the Earth's crust is created or destroyed at this type of plate boundary.

Row 4: Geologic Process

Give at least one example of the type of process or geological event that occurs on the Earth when the plates move in this manner.

Row 5: Real World Example

Give at least one example of a place on the planet where this type of plate movement is demonstrated along the plate boundary. Include both the location and name of the example.

Row 6: References

This assignment requires you to conduct formal research. When researching, make sure to use only valid and reliable resources; Wikipedia, blogs, and answer sites are not valid or reliable. References must be cited in APA format. Please provide your references in APA format in this column.

Answers

Here is a draft of the worksheet for the three main plate boundary types:

Plate Boundary (Movement)      Convergent (Colliding)

Diagram

        ||

        ||

        ||

Lithosphere (Created or Destroyed)  

       Created

Geologic Process      Mountain building

Real World Example

        Himalayas (Along India-Eurasia plate boundary in Asia)

       

References        

APA reference for research      

                             

Plate Boundary (Movement)        Divergent (Separating)

Diagram

          |||||

         

Lithosphere (Created or Destroyed)      

        Destroyed  

Geologic Process        

         Volcanic eruptions and rift valleys

Real World Example  

        Mid-Atlantic Ridge (Between North America and Europe plates)

         

References        

         APA reference          

                         

Plate Boundary (Movement)     Transform (Sliding)

Diagram

          |||||||||

Lithosphere (Created or Destroyed)  

       Neither          

Geologic Process  

       Earthquakes

Real World Example        

         San Andreas Fault (California, USA along Pacific-North America plates)

             

References

          APA reference

Define measurement.

Answers

Answer:

Measurement is the comparison of any physical quantity of an object to a standard unit which is pre-determined. The standard units such as length, time, mass etc are known as the Fundamental units of Measurement.

Explanation:

Any object that can be measured is known as a physical quantity. So, to measure the physical quantity, we require some standard units. A measurement consists of two parts - the numerical measurement and the standard unit which is pre-determined. For example, the length of a given table is 10cm, which implies that 10 is the numerical value and the standard unit of measurement is centimeter (cm).

Measurements can be both Fundamental and Derived. Examples of Fundamental quantities are Length, Time etc, while example of Derived quantity is speed which is derived from Length and Time.

Learn more about Measurement here

https://brainly.com/question/30894736

What is the distance CE Called?​

Answers

The distance CE is called the altitude of the triangle ABD.

In mathematics, the distance CE is called the altitude of the triangle ABD.

An altitude is a line segment drawn from the vertex of a triangle to the opposite side, and it is perpendicular to that side.The altitude CE divides the triangle into two smaller right triangles, ACE and BCE.

The length of the altitude can be found using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

To find the length of the altitude CE, you would use the Pythagorean theorem on either of the right triangles.

For example, using the right triangle ACE, you would have:

AC² + CE² = AE²

Where AC is the length of one of the legs of the triangle, CE is the length of the altitude, and AE is the length of the hypotenuse.

By rearranging this equation, you can solve for CE:

CE² = AE² - AC²CE = √(AE² - AC²)

For more such questions on altitude, click on:

https://brainly.com/question/1159693

#SPJ8

A Quartz piezo-electric crystal having a thickness of 2 mm and voltage sensitivity of 0.055 V-m/N is subjected to a pressure of 1.5 MN/2. Calculate the voltage output. If the permittivity of quartz is 40.6 X 10−12 F/m, calculate its charge sensitivity.

Answers

(a) The voltage output of the quartz piezo-electric crystal is 8.25 x 10⁻⁵ V.

(b) The charge sensitivity is 2.44 x 10⁻⁶ F.

What is the voltage output?

The voltage output of the quartz piezo-electric crystal is calculated as follows;

V = SdP

where:

S is the voltage sensitivity,d is the thickness of the crystalP is the applied pressure.

The given parameters include;

S = 0.055 V-m/N

d = 2 mm = 0.002 m

P = 1.5 MN/2 = 0.75 N/m²

The voltage output is calculated as follows;

V = 0.055 V-m/N x 0.002 m x 0.75 N/m²

V = 8.25 x 10⁻⁵ V

(b) The charge sensitivity is calculated as follows;

C = εA / d

where:

C is the charge sensitivity,ε is the permittivity of quartz,A is the area of the crystal, andd is the thickness of the crystal.

The given parameters include;

ε = 40.6 x 10⁻¹² F/m

d = 0.002 m

A = 1.2 x 10² m²

C = (  40.6 x 10⁻¹² x  1.2 x 10²  ) / ( 0.002)

C = 2.44 x 10⁻⁶ F

Learn more about voltage output here: https://brainly.com/question/15710971

#SPJ1

The complete question is below:

A Quartz piezo-electric crystal having a thickness of 2 mm and voltage sensitivity of 0.055 V-m/N is subjected to a pressure of 1.5 MN/2. Calculate the voltage output. If the permittivity of quartz is 40.6 X 10−12 F/m, calculate its charge sensitivity if the area is 1.2 x 10² m².

The refractive indices of materials A and B have a ratio of nA/nab=1,33. The speed of light in material A is 1.25 times 10^8m/s. What is the speed of light in material B?

Answers

The speed of light in material B is 1.6625 × 108 m/s.

The refractive index of a material is its optical density relative to that of a vacuum.

Material B has a refractive index of nB, and its speed of light is vB.

The speed of light in material A is given as 1.25 x 108 m/s.

The refractive indices of materials A and B have a ratio of nA/nB = 1.33.

We will use the formula:

nA/nB = vB/vA = nA/nB.

Therefore, nA/nB = vB/1.25 x 108 m/s.

This equation can be rearranged to give the speed of light in material B:

vB = nA/nB × 1.25 x 108 m/s.

Therefore, vB = 1.33 × 1.25 × 108 m/s.

We will perform this calculation:

vB = 1.6625 × 108 m/s.

Therefore, the speed of light in material B is 1.6625 × 108 m/s.

For more such questions on speed of light, click on:

https://brainly.com/question/17771723

#SPJ8

Which of the following will happen to the sorrounding air as warm air rises?
a. Moves in all directions
b. Moves to a higher altitude
c. Moves away from the rising air
d. Moves toward to the place where warm air rises

Which of the following statement it's NOT TRUE about amihan and habagat?

a. Amihan is known as the northeast monsoon
b. Habagat is known is as the southwest monsoon
c. From october to march the hagabat comes from the northeast and moves towards the south
d. From october to march the amihan comes from the northeast and moves towards the south.

PLEASE KINDLY ASNWER MY QUENSTION, THANKYOU PO!

Answers

As warm air rises, the surrounding air will move in from all directions to take its place.

Thus, the correct option is a.

- The statements" From October to March, the Habagat comes from the northeast and moves towards the south," and "'From October to March, the Amihan comes from the northeast and moves towards the south." are not true about amihan and habagat . The correct option are c and d.

When air is warmed by the ground, it rises, cools, and sinks again. This is referred to as a convection cycle. As the air heats up, it becomes lighter and rises, causing the surrounding air to rush in and replace it. As the air cools, it sinks back down to the surface, creating a circulation loop that continues as long as the ground is being heated.

- The statements that are not true about amihan and habagat are C. From October to March, the Habagat comes from the northeast and moves towards the south, and D. From October to March, the Amihan comes from the northeast and moves towards the south. The actual direction of airflow is reversed.

Amihan is known as the northeast monsoon, which comes from Siberia and passes over the Pacific Ocean before entering the Philippine region from the northeast and moving southward. Habagat is known as the southwest monsoon, which comes from the Indian Ocean and passes over the Philippines before exiting the country to the west and moving northward.

Amihan and Habagat are two prevailing winds that alternate with each other in the Philippines. Amihan prevails from October to March and Habagat from April to September. Amihan is colder and drier, while Habagat is warmer and wetter. Amihan is known for its northeast wind, which cools the air, and Habagat is known for its southwest wind, which causes heavy rainfall and flooding.

For more such questions on air visit:

https://brainly.com/question/30282547

#SPJ8

1. Two vectors A and B are perpendicular to each other. The magnitude of the resultant is √80 unit and vector à is twice vector B. Calculate the value of the two vectors.​

Answers

The magnitude of the resultant is √80 unit and vector à is twice vector B ,hence The two vectors are A = 8 and B = 4.

Given that  Two vectors A and B are perpendicular to each other.

The magnitude of the resultant is √80 unit and vector à is twice vector B.

So, the resultant of vectors A and B can be represented as;

[tex]`A^2 + B^2 = (\sqrt(80)^2`[/tex]

Where [tex]A^2 and B^2[/tex] are the magnitudes of vectors A and B respectively.

So, `[tex]A^2 + B^2 = 80`[/tex]

We also know that `A = 2B`

Substitute A with 2B in equation `[tex]A^2 + B^2 = 80[/tex]` and simplify.

[tex]`(2B)^2 + B^2 = 80``5B^2 = 80``B^2 = 16``B = ±4`[/tex]

Since B is a vector, we take the positive value of B i.e.

`B = 4`

Then `A = 2B = 2 × 4 = 8`

Hence, the two vectors are A = 8 and B = 4.

Know more about   magnitude  here:

https://brainly.com/question/30337362

#SPJ11

Other Questions
what were the greatest killers in virginia during the 1600s? 1) What is the EPA (Environmental Protection Agency)? Under what President was it established? What was that Presidents party affiliation? What was the EPAs annual budget in 2020? How many people does it employ?2) Go to the EPA Climate Change Science Basics website. What does the website list as the multiple lines of evidence that show earths climate is changing?3) Click on ocean temperatures, sea level, and acidity. Has sea surface temperature and ocean heat increased? How much did sea level increase in the Mid-Atlantic and Gulf Coast from 1960-2020? Grabbing a small object, such as an apple, may seem automatic and easy. But few people consider the complex biological mechanism underlying this simple act. Neurons in the brain instantly fire in patterns that send commands down the spinal cord. These commands are relayed to muscle tissue in the arm. The tissue contracts, raising the arm, extending an elbow, or flexing the wrist and fingers. For some people with spinal cord injuries, those commands are hindered by their damaged nervous systems. Their brains are no longer able to send messages throughout their bodies. For these people, these actions may require substantial effort or be completely impossible.This process is _________.A unconsciousB unprecedentedC hazardousD excessive A dictionary book weighs 1.3 pounds. Billy carries the dictionary with another book. The total weight he carries is 1.85 pounds. What is the weight of the other book? When you turned 2, you received $450 which you invested at 7percent interest, compounded annually. Your investment is now worth$1,000How old are you today?Identify the time value of money componen Explicitly check that [7] + [21] = [98] + [-5] in Z13. (b) Suppose that [5] [7] [8] [9] makes sense. Find the value of n if we are working in the 1. ring Zn. 7.5.2 (a) Prove the second half of Theorem 7.18, that is well-defined. 'n (b) Prove by induction that the operation of raising to the power mE N is well-defined in Zn. Le., prove that Vm N, V[x] Z we have [x"] = [x]". Be careful! n is fixed, your induction variable is m. What base case(s) do you need? high-low or least squares regression analysis should only be done it a(n) ____ plot depicts linear cost behavior. a food worker has been slicing melons for four hours how is the surface tension of water affected by soap In which of the following environments is the lithosphere likely to be thinnest ... A) continental collisionB) subduction zoneC) upwelling of the mantled) beneath a mid-ocean ridge. helphelp help help help help What is your view on the future of IASB and FASB convergence? Venetian artists begin favoring oil paint over tempera, because it. the discounted value of all cash flows from a project is, of the 3 methodologies studied in this course, the most complex mathematical calculation for evaluating a long term project's financial attractiveness can ignore the pattern of cash flows over the lifetime of the project the strategic alignment of a long term capital investment The Step Pyramid of Djoser at the Saqqara necropolis was the very first pyramid built by the ancient Egyptians. It was constructed during the 2678 BC. Counting from today, how many years ago did it happen?I AM REALLY CONFUSED PLEASE HELP THANK YOU Find solutions for your homeworkFind solutions for your homeworkmathcalculuscalculus questions and answersuse the algorithm for curve sketching to analyze the key features of each of the following functions (no need to provide a sketch) f(x) = 2x + 12x + 18x reminder - here is the algorithm for your reference: 4 1. determine any restrictions in the domain. state any horizontal and vertical asymptotes or holes in the graph. 2. determine the intercepts of theThis problem has been solved!You'll get a detailed solution from a subject matter expert that helps you learn core concepts.See AnswerQuestion: Use The Algorithm For Curve Sketching To Analyze The Key Features Of Each Of The Following Functions (No Need To Provide A Sketch) F(X) = 2x + 12x + 18x Reminder - Here Is The Algorithm For Your Reference: 4 1. Determine Any Restrictions In The Domain. State Any Horizontal And Vertical Asymptotes Or Holes In The Graph. 2. Determine The Intercepts Of Theplease i need help with this questionUse the algorithm for curve sketching to analyze the key features of each of thefollowing functions (no need to provide a skShow transcribed image textExpert Answer100% ThankView the full answeranswer image blurTranscribed image text: Use the algorithm for curve sketching to analyze the key features of each of the following functions (no need to provide a sketch) f(x) = 2x + 12x + 18x Reminder - Here is the algorithm for your reference: 4 1. Determine any restrictions in the domain. State any horizontal and vertical asymptotes or holes in the graph. 2. Determine the intercepts of the graph 3. Determine the critical numbers of the function (where is f'(x)=0 or undefined) 4. Determine the possible points of inflection (where is f"(x)=0 or undefined) s. Create a sign chart that uses the critical numbers and possible points of inflection as dividing points 6. Use sign chart to find intervals of increase/decrease and the intervals of concavity. Use all critical numbers, possible points of inflection, and vertical asymptotes as dividing points 7. Identify local extrema and points of inflection The volume of the solid obtained by rotating the region enclosed by about the line x = 8 can be computed using the method of cylindrical shells via an integral V= S x^3 dx + with limits of integration a 3 and b = 7 The volume is V = 1576p/3 cubic units. Note: You can earn full credit if the last question is correct and all other questions are either blank or correct. y=x, x= 3, x=7, y = 0 with cell b2 selected, set the width of column b to autofit. A production department in a process manufocturing system completed its work on 70.000 units of product and transferred them to the next department during a recent period. Of these units, 28.000 were in process at the beginning of the period. The other 42.000 units were started and completed during the period. At period end, 17,000 units were in process. Prepare the production departments equivalent units of production for direct materials under each of theee scparate assumptions sing the weighted-average method for process costing. Lets assume Racing Bicycle Company sold 1000 bicycles in July and the fixed expenses are still $80,000. Sales price for each bicycle is $500, and variable expense for each bicycle is still $300. (1). How much is contribution margin? (2). How much is the Profit?