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Impulsive Forces in Collision

A particle of...

Question

A particle of mass m is moving with a uniform velocity $v_{1}$ . It is given an impulse such that its velocity become $v_{2}$ . The impulse is equal to :

A

m [| v_{2} | - | v_{1} |]

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B

\frac{1}{2} m

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C

m [v_{1} + v_{2}]

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D

m [v_{2} - v_{1}]

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Solution

The correct option is C $m [v_{2} - v_{1}]$
lets consider $m =$ mass of a particle

$v_{1} =$ initial velocity

$v_{2} =$ final velocity

The impulse is vector quantity and is equal to change in momentum,

$I = m v_{2} - m v_{1}$

$I = m (v_{2} - v_{1})$

The correct option is D.

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