A force of 100 N acts on a body mass 2 kg for 10 s. The change in the velocity of the body is:

100 m s^{- 1}

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250 m s^{- 1}

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500 m s^{- 1}

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1000 m s^{- 1}

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Solution

The correct option is C $500 m s^{- 1}$
Impulse $I = F d t = 100 (10) = 1000 N . s$
Also impulse is the change in momentum, so $I = m (v_{2} - v_{1})$
or $1000 = 2 (v_{2} - v_{1})$ or $v_{2} - v_{1} = 500 m / s$
Thus, change in velocity $= v_{2} - v_{1} = 500 m / s$

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