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Question

# Work done upon a body is

A

a vector quantity

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B

a scalar quantity

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C

both (a) and (b)

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D

none of these

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Solution

## The correct option is B a scalar quantityScalar quantity: The physical quantity which has only magnitude but no direction.Work done upon a body is a scalar quantity.$W=\stackrel{\to }{F.}\stackrel{\to }{s}\phantom{\rule{0ex}{0ex}}\text{or},W=Fs\mathrm{cos}\theta$ 3.Thus work done by a force is equal to the scalar or dot product of the force and the displacement of the Body.Thus, Work done upon a body is a scalar quantity. Hence, option B is the correct answer.

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