I would choose a vacuum agents with sensors to detect when all squares are cleaned would prevent further movement and maintain a clean state.
Vacuum agents with sensors can be used to detect when all squares of a given area have been cleaned. This would prevent the agent from continuing to move, thus maintaining the clean state. The sensors would detect when the area is clean and the agent would stop moving, ensuring that the area remains clean.
This technology could be extremely useful in keeping homes and businesses clean and tidy. Additionally, this technology could be used to automate cleaning tasks, saving time and effort.
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a wheel with radius 20cm rolls along the ground, rotating 120 degrees. what distance did the wheel roll?
The distance the wheel rolled is 41.87 cm. The result is obtained by using the formula for the perimeter of a circle.
What is perimeter of a circle?The perimeter of a circle can be calculated by
P = 2πr
Where r is radius.
A wheel with radius 20cm rolls along the ground, rotating 120 degrees.
Find the distance did the wheel roll!
We have
r = 20 cmθ = 120°We find the perimeter of the wheel.
P = 2πr
P = 2(3.14)(20)
P = 6.28(20)
P = 125.6 cm
The distance would be
d/P = θ/360
d/125.6 = 120/360
d/125.6 = 1/3
d = 125.6/3
d = 41.87 cm
Hence, the wheel rolled for distance of 41.87 cm.
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when we measure light years, we assume that light is always traveling at the speed of light in a vacuum.
The statement "If a star is 25 light years away from Earth, the light we see from it left the star 25 years ago" is not true.
A light year is a measure of distance, not time. When we observe light from a star that is 25 light years away, we are seeing light that left the star 25 years ago, but it has taken that light 25 years to travel the distance from the star to us. The light year is a unit of distance equal to the distance that light travels in one year, which is approximately 9.46 x 10^12 km (9.46 trillion km).
The speed of light is constant, so it is always traveling at the same speed in a vacuum, which is why the light year is an appropriate unit for expressing distances in space. When we observe light from a distant star, we are seeing light that has traveled for many years through the vacuum of space, which means that the light we see from the star left it many years ago.
For example, if a star is 25 light years away from Earth, the light that we observe from it today actually left the star 25 years ago. So, when we say that a star is 25 light years away, we mean that the distance between the star and Earth is such that light takes 25 years to travel from the star to Earth.
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The complete question is:
Which of the following is NOT true about the light year?
A light year is 9.46 x 10^12 km.The light year is a measurement of how long it takes light to travel in space.When we measure light years, we assume that light is always traveling at the speed of light in a vacuum.If a star is 25 light years away from Earth, the light we see from it left the star 25 years agoif a ball is thrown straight upward with an initial velocity of feet per second, its height above the ground, in feet, can be written as , where denotes the time in seconds that the ball has been airborne. what was the average rate of change of the height of the ball over the first seconds?
The height above the ground in feet of the ball can be represented by the equation h = ut+1/2at², where u in the initial speed in feet per second, the average rate of change of height in first few second will also be given by the same equation.
The ball thrown upward with an initial speed of u feet per second will attain a height of h feet.
Now, we know, from the equation of motion,
S = ut + 1/2at²
This can be rewritten for the height purpose,
h = ut + 1/2at²
Where,
h is the height in feet,
t is time in seconds,
u is the initial speed in feet per seconds,
a is the acceleration of the ball.
The average rate of change of height will also be given by the same equation. We just have to know that for how much amount of time we need to find the change rate.
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Find the z-score for the value 55, when the mean is 58 and the standard deviation is 3 A) z =-1.33 B) z = C) z =0.90 D) z = -0.90 73) Test scores for history class had mean of 79 with standard deviation of 4.5. Test scores for physics ylass had mean of 69 with standard deviation of 3.7. Suppose student gets 83 on the history test and 84 on the physics test: Calculate the score for each test. On which test did the student perform better?
A) z =-1.33
history z-score = -4.44; physics z-score = -3.78; The student performed better on the physics test
The z-score is a measure of how many standard deviations a given value is from the mean. To calculate the z-score, you need to subtract the mean from the value and then divide by the standard deviation. In this case, the z-score would be:
[tex]z =\frac{ (55 - 58)}{ 3} \\\\= -1.33.[/tex]
Therefore, the correct answer is A) z =-1.33.
The student got a score of 83 on the history test and 84 on the physics test.
The student performed better on the physics test because they earned a score of 84 on that test, which is higher than the score of 83 they earned on the history test. The difference in scores can be expressed mathematically as follows:
Physics Score - History Score = [tex]84 - 83 = 1[/tex]
This indicates that the student's score on the physics test was higher than their score on the history test by 1 point.
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a cylinder is measured to have a diameter of 2.7 inches, and a length of 7.4 cm. its mass is 1900 grams. calculate its density in kg/m3.
The density of the cylinder is 0.01234 kg/m³
First, convert the diameter to cm: 2.7 in x 2.54 cm/in = 6.86 cm
Next, find the cylinder's volume: (π x (diameter/2)² x length) = (π x (6.86/2)² x 7.4 cm) = 153.94 cm³
Then convert the mass to kg: 1900 g x 1 kg/1000 g = 1.9 kg
Finally, the density:
density = mass/volume = 1.9 kg / 153.94 cm³ = 0.01234 kg/m³.
Density is a physical property that describes the amount of mass in a specific volume of a substance. It is defined as mass per unit volume and is typically measured in kilograms per cubic meter (kg/m³) or grams per cubic centimeter (g/cm³). The density of a substance is important in determining its behavior and characteristics, as well as in various applications, such as determining the sinking or floating behavior of objects in liquids. by this we can consider that density is mass by volume. the space can be calculated by finding the density. we can find the tightness of particles i the body.
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find net force and acceleration
Rightward acceleration is 16.5 m/s² and the net force is 165 N. The acceleration of an object is determined by its mass divided by the net force acting on it, in accordance with Newton's second law of motion.
The net force formula is what?The total of all forces exerted on an object is known as the net force. A mass can accelerate due to net force. A body is subject to another force whether it is at rest or in motion.
How does an item accelerate as a result of net force?A moving item accelerates due to resultant force. Always moving in the same manner as the net force is acceleration. When something is being pushed to the right with more force than resists and its resultant torque is to the right, it will accelerate to the right.
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List the various excretory organs of animals and their role in excretion.
Answer:
Explanation:
Excretory organs in animals vary depending on the species, but some common examples include:
Kidneys: These organs filter waste products from the blood, including urea, creatinine, and uric acid, and produce urine.Liver: The liver plays a role in detoxifying harmful substances in the blood and excreting them in the bile.Lungs: In animals that breathe air, the lungs remove carbon dioxide, a waste product of metabolism, through the process of respiration.Gills: Fish and other aquatic animals use gills to remove waste products, such as ammonia and carbon dioxide, from the blood and excrete them into the water.Intestines: The intestinal system is responsible for removing waste products and undigested food from the body in the form of feces.Skin: Many animals, such as reptiles and amphibians, excrete waste products through their skin in the form of urine and salts.Bladder: An organ that stores urine, produced by the kidney, until it can be eliminated from the body.All these excretory organs work together to remove waste products and toxins from an animal's body, maintaining homeostasis and ensuring its survival.
are these forces a third-law pair? normal force of the hand on the wall, and normal force of the wall on the hand
No, the normal force of the hand on the wall and the normal force of the wall on the hand are not third-law pairs.
Newton's Third Law of Motion states that for every action there is an equal and opposite reaction. In this case, the normal force of the hand on the wall is not equal and opposite to the normal force of the wall on the hand. The normal force of the hand on the wall is the force that the hand is exerting on the wall.
This force is not equal and opposite to the normal force of the wall on the hand, which is the force that the wall is exerting on the hand. Therefore, these two forces are not a third-law pair.
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a 3 kg can containing a 100 g firecracker is thrown into the air. at the instant it reaches its highest point, the firecracker explodes, exiting the can at 25 m/s. what is the speed of the can after the explosion? ans: 0.83 m/s
A 3 kg can containing a 100 g firecracker is thrown into the air. at the instant it reaches its highest point, the firecracker explodes, exiting the can at 25 m/s. The speed of the can after the explosion is 0.83 m/s.
The speed of the can after the explosion can be determined using the principle of conservation of momentum. According to this principle, the total momentum of a closed system remains constant if no external forces act on it. In this case, the can and firecracker form a closed system before and after the explosion, so the total momentum of the system must remain constant.
Before the explosion, the total momentum of the system is given by:
p1 = m1 x v1
where m1 is the mass of the can and v1 is its velocity (assumed to be zero at the highest point).
After the explosion, the total momentum of the system is given by:
p2 = (m1 + m2) x v2
where m2 is the mass of the firecracker and v2 is the velocity of the can after the explosion.
By equating the initial and final momenta and solving for v2, we get:
v2 = 0 m/s.
So, the speed of the can after the explosion is 0.83 m/s
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x1. a physics professor throws a ball up in a vertical direction to his colleague, who is in a window 4.00 m above. the second professor catches the ball 1.50 s later. (a) with what initial velocity was the ball thrown? (b) what was the velocity of the ball just before it was caught?
The initial velocity of the ball was 20.33 m/s. and the velocity of the ball not long before it was caught was 5.63 m/s.
(a) To find the initial velocity of the ball, we can utilize the accompanying equation of motion:
h = vi * t - (1/2) * g * [tex]t^2[/tex]
where h is the height of the window (4.00 m), vi is the initial velocity of the ball, t is the time it takes for the ball to reach the window (1.50 s), and g is the acceleration due to gravity (9.8 m/s^2).
By solving for vi, we get:
vi = (2 * (h + (1/2) * g * [tex]t^2[/tex]))/t
vi = (2 * (4.00 m + (1/2) * 9.8 [tex]m/s^2[/tex] * [tex](1.50 s)^2)[/tex])/(1.50 s)
vi = (2 * (4.00 m + 11.25 [tex]m^2/s^2[/tex]))/(1.50 s)
vi = (2 * 15.25 m)/(1.50 s)
vi = 20.33 m/s
In this way, the initial velocity of the ball was 20.33 m/s.
(b) To find the velocity of the ball not long before it was caught, we can utilize the accompanying equation of motion:
vf = vi - g * t
where vf is the last velocity of the ball and t is the time it took for the ball to reach the window (1.50 s).
Solving for vf, we get:
vf = 20.33 m/s - 9.8 [tex]m/s^2[/tex] * 1.50 s
vf = 20.33 m/s - 14.7 m/s
vf = 5.63 m/s
Thus, the velocity of the ball not long before it was caught was 5.63 m/s.
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a boat has an initial speed of 15 ft/s . it then increases its speed along a circular path of radius rho = 80 ft at the rate of v˙=(1.5s)ft/s2 , where s is in feet.
A boat has an initial speed of 15 feet/s. [tex]\sqrt{120}[/tex] is the distance in feet.
Given the initial speed of 15 feet/s and acceleration rate of v˙ = 1.5 s feet/s², the change in speed of the boat after time t can be calculated using the equation v = v0 + at, where v0 is the initial speed, a is the acceleration and t is the time.
v = 15 + (1.5 x t) feet/s
The radius of the circular path is given as 80 ft. The centripetal acceleration can be calculated using the equation a = v²/r, where v is the speed of the boat and r is the radius of the circular path.
a = [tex]\frac{v²}{80}[/tex]
The centripetal acceleration and the acceleration rate v˙ can be equated and solved for time t to determine the time when the boat reaches its maximum speed. Maximum speed can be calculated by substituting t in the equation for v. The maximum speed is reached when the centripetal acceleration is equal to the acceleration rate.
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two atoms that are initially an infinite distance apart, xoo, at which point the potential energy of the system is U 0. If they are brought together to x -xi, the potential energy is related to the total force P by dU Given this, qualitatively sketch the variation of U with x. What happens at x- xe? What is the significance of x-Xe in terms of the potential energy?
The variation of potential energy with the distance between two atoms, x, depends on the nature of the interaction between the atoms. As the distance between the atoms decreases from x = ∞ to x = xi.
The potential energy of the system decreases due to the increase in attractive forces between the atoms. This decrease in potential energy is accompanied by an increase in the total force, P, between the atoms.
At x = xe, the potential energy reaches its minimum value, which is the equilibrium distance between the two atoms. At this point, the total force between the atoms is zero, meaning that the attractive forces between the atoms are balanced by the repulsive forces.
The significance of x = xe in terms of the potential energy is that it represents the most stable configuration of the system, where the potential energy is minimized and the system is in a state of mechanical equilibrium. Any deviations from this distance result in an increase in potential energy and a net force acting on the system to bring it back to x = xe.
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inside a motor, 32.0 a passes through a 240 turn circular loop that is 10.0 cm in radius. what is the magnetic field strength (in t) created at its center?
The magnetic field strength (in Tesla) created at the center of a motor with 32.0 A passing through a 240-turn circular loop with a radius of 10.0 cm can be calculated using the equation
B (Tesla) = u₀ * N * I / (2 * π * r)
Where u₀ is the permeability of free space, N is the number of turns, I is the current and r is the radius.
In this case, the magnetic field strength can be calculated as B = 4π * 10⁻⁷ * 240 * 32.0 / (2 * π * 0.1) = 0.384 Tesla.
A magnetic field is a region in space where a magnetic force acts on particles that possess a magnetic moment. Magnetic fields are created by electric currents, either natural or artificial. The Earth’s magnetic field is created by its liquid outer core, while artificial magnetic fields are created by electric currents in coils of wire. Magnetic fields can exert forces on particles that possess a magnetic moment, and can be used to manipulate those particles in a variety of ways.
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a horse accelerates a sled to the right. diagram all forces acting on the sled
The picture on the right is an example of what I'm looking for
When a horse accelerates a sled to the right. all forces acting on the sled:
Weight of the horse (downwards)Normal force on the horse (upwards)Force generated by the horse ( direction of motion).What is free body diagram?A free body diagram is a graphical representation used in physics and engineering to show the applied forces, moments, and consequent reactions on a body in a specific situation.
It shows a body or group of connected bodies along with all the applied forces, times, and reactions that the body experiences. The body could be compact or comprise several interior pieces.
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which of the following terms ( or paris of terms) is used to describe how energy flows in a chemical reaction ?
The terms Exothermic and Endothermic describe how energy flows in a chemical reaction. The correct option is D.
What is energy flow in a chemical reaction?The bonds between molecules are formed and disrupted during chemical reactions.
When new bonds are created, energy is released. In contrast, energy is absorbed to dissolve bonds. Bond energy is the required force to dissolve the bonds.
When bonds in the reactants are broken in endothermic reactions, more energy is absorbed than is released when new bonds are created in the products.
The temperature of the reaction mixture drops during endothermic reactions.
Thus, the correct option is D.
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based on what you know about energy, what types of energy does the water balloon have? how would energy explain the water balloon’s behavior?
Energy is an important concept that affects us in many ways. It is the ability to do work, and it can come in many forms. When it comes to a water balloon, it has several types of energy that explain its behaviour.
Types of Energy: The water balloon has potential energy, which is stored energy due to its position or shape. This potential energy is converted to kinetic energy when the balloon is thrown. Kinetic energy is the energy of motion, so as the balloon moves, it has kinetic energy.
The balloon also has thermal energy, which is energy that comes from the temperature of the water in the balloon. As the water inside the balloon heats up, the thermal energy increases and the balloon becomes more elastic.
Behaviour: The water balloon's behaviour can be explained by the energy it contains. The potential energy it has will cause it to move when it is released, resulting in its kinetic energy. The thermal energy can cause the balloon to expand and become more elastic, making it more likely to burst when hit by an object. The combination of these energies explains why the balloon behaves the way it does.
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suppose you had two small boxes, each containing 1.0 g of protons. (a) if one were placed on the moon by an astronaut and the other were left on the earth, and if they were connected by a very light (and very long!) string, what would be the tension in the string? express your answer in newtons and in pounds. do you need to take into account the gravitational forces of the earth and moon on the protons? why? (b) what gravitational force would each box of
The electric force between the two boxes of protons is extremely strong, and the tension in the string connecting them would be calculated based on the electric force between the protons.
The tension in the string would be calculated as the product of the electric force and the distance between the boxes. The gravitational forces of the earth and moon do not need to be taken into account as the electric force is much stronger than the gravitational force.
A) To calculate the tension in the string, we need to find the electric force between the two boxes of protons. This can be calculated using Coulomb's law, which states that the electric force between two charged particles is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
The electric force between the two boxes of protons would be much stronger than the gravitational forces of the earth and moon on the protons, so there is no need to take the gravitational forces into account.
B) To calculate the gravitational force each box of protons would exert on the other box, we would use Newton's law of gravitation. This law states that the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
By plugging in the masses and distances, we can find the gravitational force each box of protons would exert on the other. However, as stated before, the electric force between the protons is much stronger, so the gravitational force would not be significant.
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Complete question:
Just how strong is the electric force? suppose you had two small boxes, each containing 1.0 g of protons. (a) if one were placed on the moon by an astronaut and the other were left on the earth, and if they were connected by a very light (and very long!) string, what would be the tension in the string? express your answer in newtons and in pounds. do you need to take into account the gravitational forces of the earth and moon on the protons? why? (b) what gravitational force would each box of protons exert on the other box?
if the mass of the raft is 50.0 kg and the water exerts a drag force of 170.0 n to the right, what is the magnitude of the acceleration of the raft? enter your answer in m/s2 but do not include the unit.
If the mass of the raft is 50.0 kg and the water exerts a drag force of 170.0 n to the right. 3.4 m/s² is the magnitude of the acceleration of the raft.
Let us assume that the magnitude of the acceleration of the raft is a m/s².
It is given that,
The mass of the raft is m = 50 kg.
The drag force of water is, F = 170 N.
It is known that,
The net force, F = ma
⇒ a = F/m
⇒ a = 170/50 m/s²
⇒ a = 3.4 m/s²
Hence, the acceleration of the raft is 3.4 m/s².
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1) Write all forces experienced by an electric charge A) at rest. B) in motion
Answer:
A) At rest, an electric charge experiences the following forces:
Coulomb force (electrostatic force) from any other nearby charges
Electric field force from any surrounding electric fields
Magnetic field force from any surrounding magnetic fields
B) In motion, an electric charge experiences the following additional forces:
Lorentz force from any surrounding electric and magnetic fields
Frictional force from any surrounding matter
Drag force from any surrounding fluid (if the charge is moving through a fluid)
Explanation:
explain how you can use mass to count large numbers of objects.
By using mass to count large numbers of objects, you can obtain accurate results quickly and with minimal error. Additionally, this method can be automated using a particle counter, which automates the process of counting particles based on their size and/or mass.
This method is particularly useful when counting small or very similar objects, such as cells or beads. The process involves the following steps:
Determine the average mass of a single object: To do this, weigh a small sample of the objects and divide the total mass by the number of objects in the sample.Prepare a solution containing a known number of objects: Weigh out a known mass of the solution and dilute it to a convenient volume.Weigh a sample of the solution: Using a balance, weigh out a sample of the solution that is sufficient to count the number of objects.Calculate the number of objects in the sample: Divide the mass of the sample by the average mass of a single object to determine the number of objects in the sample.Multiply by the dilution factor: Finally, multiply the number of objects in the sample by the dilution factor to determine the total number of objects in the original solution.to learn more about mass refer here
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Solve pls! Super easy get points
Answer:
1.)heat
2)Metals
3)metals
4)poor conductors of electricity
5)attracted
6)magnetic
we call the path of the sun the ecliptic, what do we call the constellations that lie along the ecliptic?
We call the path of the sun the ecliptic, we call the constellations that lie along the ecliptic is zodiac constellations.
The zodiac is a band of the sky that is divided into twelve equal sections, each named after a constellation that lies along the ecliptic. These twelve constellations are: Aries, Taurus, Gemini, Cancer, Leo, Virgo, Libra, Scorpius, Sagittarius, Capricornus, Aquarius, and Pisces. The zodiac has been used for thousands of years in astrology, where each of the 12 zodiac signs is associated with specific personality traits and is thought to influence an individual's life and destiny. However, it should be noted that astrology is not scientifically recognized as a valid field of study. In astronomy, the zodiac constellations are important because they are used as a reference frame to describe the positions of the planets and other celestial objects. They are also used to define the plane of the solar system and to measure the position of objects in the sky in terms of their ecliptic longitude. Overall, the zodiac constellations have played a significant role in human culture and continue to be an important part of our understanding of the sky.
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a large mass and a small mass have a head on elasctic collision. which mass receives the greater impulse
The larger mass will receive the greater impulse due to momentum conservation.
What is momentum?
Momentum is a concept in physics that describes the tendency of an object to maintain its direction and speed of motion unless acted upon by an external force. Momentum is a product of an object's mass and velocity, and is calculated by multiplying the two together. Momentum is conserved in collisions, meaning that the momentum of the objects involved before and after the collision is the same. Momentum is also conserved in closed systems, meaning that the total momentum of all the objects within the system remains the same over time. Momentum is an important concept in physics, as it is necessary to understand the motion of objects, and to predict the outcome of collisions.
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aside from the center frequency, what other indicator in image 82 signifies it was acquired at 1.5 tesla?
The y-axis of the spectra shows the relative signal in-tensity, which indicates that the data was acquired at 1.5 Tesla aside from the frequency.
What is frequency?
Frequency can be defined as the number of occurrences of a repeating event per unit of time. It is usually measured in hertz (Hz), which is equal to one cycle per second. Frequency is an important parameter used in science and engineering to specify the rate of vib-ratory phe-nomena, such as electromagnetic waves, sound waves, and mechanical vibrations. Frequency is also used to describe the number of times an event or occurrence takes place over a period of time.
This is because the maximum signal intensity is much higher than that of the other spectra, which suggests that the magnetic field strength was much higher than that of the other spectra. This is consistent with the expected signal intensity for a 1.5 Tes-la magnetic field.
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During an ice show, a 45 kg skater leaps into the air and is caught by their
partner, 70 kg who is initially stationary. The leaping skater was originally going 4
m/s when caught. How fast will the pair move after the catch?
It's common to say that the average net force acting on an object during a specific period of time produces the concept of impulse. J = Ft is provided as the equation for impulse.
What is impulse ?The term "impulse" in physics refers to or measures the impact of a force working gradually to alter an object's motion. Typically, it is expressed in Newton-seconds or kg/m/s and is denoted by the letter J.The idea of impulse will be thoroughly discussed here, along with examples of how it might be used in various contexts. It's common to say that the average net force acting on an object during a specific period of time produces the concept of impulse. It says this is the equation for impulse: J = F⋅Δt.To Learn more About impulse Refer To:
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a rock is thrown straight down with an initial velocity of 14.9 m/s from a cliff. what is the rock's displacement after 1.0 s? (acceleration due to gravity is 9.80 m/s2.)
The rock's displacement after 1.0 second is 14.9 m/s * 1.0 s = 14.9 m.
The formula for displacement can be found by using the equation of motion:
displacement (d) = initial velocity (v₀) * time (t) + 0.5 * acceleration (a) * time (t)^2
In this case, the initial velocity is 14.9 m/s, the time is 1.0 s, and the acceleration due to gravity is 9.80 m/s².
So, d = 14.9 m/s * 1.0 s + 0.5 * 9.80 m/s² * (1.0 s)^2 = 14.9 m + 4.9 m = 19.8 m
However, the rock is thrown straight down, so the displacement is negative. The final answer for the displacement of the rock after 1.0 second is -14.9 m.
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which is not true about an order-of-magnitude estimation? check all that apply. which is not true about an order-of-magnitude estimation?check all that apply. it may require making some reasonable assumptions in order to calculate the answer. it can be done by keeping only one significant figure. it can be used to check if an exact calculation is reasonable. it will always be accurate to at least two significant figures. it gives you a rough idea of the answer.
The statements about an order-of-magnitude estimation which are not true include: A "it may require making some reasonable assumptions in order to calculate the answer", and B: "it can be done by keeping only one significant figure".
Order-of-magnitude estimation is a simplified, rough estimate of a quantity, often used when an exact calculation is either not possible or too time-consuming. It involves rounding numbers to the nearest power of 10, which leads to a significant reduction in the level of detail and accuracy.
The purpose of this technique is to provide a quick estimate of the answer, and it is not meant to be a substitute for an exact calculation. Order-of-magnitude estimation is used in many fields, including engineering, science, economics, and finance, to make initial predictions and get a general understanding of a problem.
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a pomegranate is thrown from ground level straight up into the air at time with velocity 176 feet per second. its height in feet at seconds is . find the time it hits the ground and the time it reaches its highest point.
Answer:
176 ft/s / 32 ft/s^2 = 5.5 sec
The pomegranate decelerates at 32 ft/sec^2 and reaches the top in 5.5 s
It will again reach the ground in 2 * 5.5 = 11 sec
S = 1/2 g t^2 = 16 * 5.5^2 = 484 ft where S is the height reached
H = V0 t - 1/2 g t^2 is the height of the pomegranate at time t
Suppose t = 11 sec then
H = 176 * 11 - 16 * 11^2 = 0 its back where it started
the following are water temperature at various beaches in San Diego.7️0° f, 66° f, 61° f, 70°f , 68° fwhat is the mode of the data set?
The mode of the given data set contains the water temperatures of various beaches in San Diego which is 70.
The given data set is 7️0 °F, 66 °F, 61 °F, 70 °F , 68 °F.
Calculating the mode is fairly straightforward. Place all numbers in a given set in order; this can be from lowest to highest or highest to lowest, and then count how many times each number appears in the set. The one that appears the most is the mode.
Now, let us arrange the values of given temperature is ascending order.
61 °F, 66 °F, 68 °F, 7️0 °F, 7️0 °F.
7️0 °F appeared more than once i.e, twice in the given data set.
Thus, 7️0 °F is said to be the mode of the given data set.
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in an experiment, a varying force is applied tangentially for a period of time to a solid disk mounted on a frictionless axle. initially, the disk is at rest. which type of graph should be created so that the final kinetic energy of the disk is represented by the area under the graph?
The applied torque as a function of angular displacement can be used as the final kinetic energy represented as the graph area plot.
The work done by a constant torque is the product of torque and angular displacement. If torque is expressed in Newton meters [Nm] and angular displacement is expressed in radians, work is represented in Joules. Increasing the radius increases torque. Angle θ between force and lever arm:
Applying force perpendicular to the lever arm increases torque. The rotational effect of force is called torque. The angular momentum of a body is defined as the moment of momentum about its axis of rotation.
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