# How much work would it take to push a # 2 kg # weight up a # 7 m # plane that is at an incline of # (5pi) / 12 #?

The work is

The potential energy gained and the work completed are equal.

Potential energy is

Consequently,

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The work required to push the 2 kg weight up a 7 m plane inclined at (5π)/12 radians is approximately 34.43 joules.

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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 #5 kg# is hanging from an axle with a radius of #12 cm#. If the wheel attached to the axle has a radius of #45 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?
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- If an object with a mass of #2 kg # changes speed from #19m/s# to #20 m/s#, by how much does its kinetic energy change?
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