How are work and power related?
Work is the energy needed to apply a force to move an object a particular distance, where force is parallel to the displacement. Power is the rate at which that work is done.
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As an example, a racing car and a family sedan might have the same mass. To get both moving at a speed of 30 m/s requires the same amount of work. However, since the racing car has more power, it can reach that speed in a shorter amount of time,
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Work and power are related by the equation: Power = Work / Time. This equation expresses that power is the rate at which work is done, where work is the transfer of energy that results in an object's displacement, and power is the amount of work done per unit of time.
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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.
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 #15 kg# is moving at #9 m/s# over a surface with a kinetic friction coefficient of #2#. How much power will it take to accelerate the object at #3 m/s^2?
- What is the kinetic energy of an object with a mass of # 16 kg# that has been in freefall for # 4 s#?
- If a spring has a constant of #4 (kg)/s^2#, how much work will it take to extend the spring by #23 cm #?
- How much work would it take to push a # 6 kg # weight up a # 9 m # plane that is at an incline of # pi / 4 #?
- A spring with a constant of #4 (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 #3 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?

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