# An object with a mass of #15 kg# is moving at #9 m/s# over a surface with a kinetic friction coefficient of #4 #. How much power will it take to accelerate the object at #3 m/s^2?

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The power is

The coefficient of kinetic friction is

According to Newton's Second Law

The power is

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The power required to accelerate the object at 3 m/s² is 270 watts.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How much power is needed to accelerate an object with a mass of #5 kg# and a velocity of #3 m/s# at a rate of #9 m/s^2#?
- If a rocket with a mass of 2500 tons vertically accelerates at a rate of # 7/3 ms^(-2)#, how much power will the rocket have to exert to maintain its acceleration at 5 seconds?
- If an object with a mass of #2 kg # changes speed from #9m/s# to #4 m/s#, by how much does its kinetic energy change?
- A spring with a constant of #3 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #3 kg# and speed of #9 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?
- What is the GPE of the 10-kg rock at the top of the house, at the top of the cliff and at the bottom of the cliff?

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