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Answer 1 · 2017-12-01T07:50:01

Force is rate of change of momentum.

Force can change the velocity of any object. That means it can change the direction and/or speed of the object.

When there is change in velocity with respect to time, we call it acceleration ' $a$ $a$ '.

$a = \frac{v_{2} - v_{1}}{t}$ $a = (v_2-v_1)/t$ ---- where $v_{1}$ $v_1$ is initial velocity and $v_{2}$ $v_2$ is final velocity.
and

$F = m a$ $F= ma$ --------where $m$ $m$ = mass of the object.

$\Rightarrow F = m (\frac{v_{2} - v_{1}}{t})$ $=> F= m ((v_2-v_1)/t)$

$\Rightarrow F = \frac{m v_{2} - m v_{1}}{t}$ $=> F= (mv_2 - mv_1)/t$ ----using distributive property.

We know $m v = p$ $mv= p$ is momentum.

$\Rightarrow F = \frac{p_{2} - p_{1}}{t}$ $=>F=( p_2-p_1)/t$ ---Where $p_{2}$ $p_2$ is final momentum and $p_{1}$ $p_1$ is initial momentum.

That means force is rate of change of momentum.