Question

Show that,J=m∆v where J is the impulse acting on a body of mass m and ∆v is the change in velocity

Answer 1

According to Newton's 2nd law,

F=ma

Therefore,

F= ma

F = m(v-u/t)

Ft= m∆v

J= m∆v

Where, J is impulse, m is mass and ∆v is change in velocity.

Hope it helpful.

Thank you

Answer 2

Explanation: Impulse is the force is the product of the force and time during which the force acts on the body.

$J=Force\times time\\\\J=F\times dt$

According to the 2nd law

F= rate of change of momentum

$F=\frac{dp}{dt}$

Where, p= momentum

dp= change in momentum.

$F\times dt=dp\\\\J=dp\\\\J=m\Delta v$

Hence showed.

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