Units of work done is ________.

k g m s^{- 2}

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k g m^{2} s^{- 2}

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k g m^{2} s^{- 1}

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k g m s^{- 1}

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Solution

The correct option is B $k g m^{2} s^{- 2}$
Work done is given as the product of force and displacement along the force.
Unit of force is Newton.
$1 N = 1 k g m / s^{2}$
Unit of Displacement is metre $(m)$ .

Hence, unit of work is called Joule $(J)$ :
$1 J = 1 N \times 1 m$
$1 J = 1 k g m / s^{2} \times 1 m$
$1 J = 1 k g m^{2} / s^{2}$

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