A force of $25$ N acts on a body at rest for $0.2$ s and a force of $70$ N acts for the next $0.1$ s in opposite direction. If the final velocity of the body is $5 m s^{- 1}$ , the mass of the body is:

1

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2

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0.8

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0.4

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Solution

The correct option is D $0.4$ kg
Resulatant impule = Change in momentum
$7 N \cdot s - 5 N \cdot s = 2 N \cdot s$
$m v = 2 N \cdot s$
$m = \frac{2}{5} k g$

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