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An object of mass, m is moving with a constant velocity, v. How much work should be done on the object in order to bring the object to rest?

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Answer

The object is in motion, so its energy = kinetic energy = {1\over2}๐‘š๐‘ฃ2

The kinetic energy of the object, when it comes to rest = 0.

Work done on objectย  = change in kinetic energy

={1\over2}๐‘š๐‘ฃ2 โ€“ 0

={1\over2}๐‘š๐‘ฃ2

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