# An object with a mass of #4 kg# is moving at #7 m/s# over a surface with a kinetic friction coefficient of #1 #. How much power will it take to accelerate the object at #4 m/s^2?

386 W

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The power required to accelerate the object at 4 m/s^2 is 56 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.

- An object with a mass of #8 kg# is hanging from an axle with a radius of #32 m#. If the wheel attached to the axle has a radius of #16 m#, how much force must be applied to the wheel to keep the object from falling?
- A 66.0 kg person climbs stairs, gaining 3.70 meters in height. Find the work done (in J) to accomplish this task?
- How much work would it take to push a # 5 kg # weight up a # 15 m # plane that is at an incline of # pi / 4 #?
- A balanced lever has two weights on it, the first with mass #15 kg # and the second with mass #27 kg#. If the first weight is # 8 m# from the fulcrum, how far is the second weight from the fulcrum?
- A ball with a mass of #360 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #15 (kg)/s^2# and was compressed by #4/3 m# when the ball was released. How high will the ball go?

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