Question

What is the rate of change of momentum?

Answer 1

1. If the net external force acting on a body is zero, the rate of momentum change is also zero. It means there is no momentum change.
2. The force that makes anything move faster and faster is often known as momentum.
3. As we know that change in velocity with respect to time is called acceleration.
4. The rate of change in momentum $=\frac{\mathrm{m}(\mathrm{v}-\mathrm{u})}{\mathrm{t}}$Here, $m$ is mass, $v$ is final velocity, $u$ is initial velocity, and $t$ is time.
5. $\mathrm{Rate}\mathrm{of}\mathrm{change}\mathrm{of}\mathrm{momentum}=\mathrm{force}\mathrm{applied}$
6. Force $\propto \frac{\mathrm{m}(\mathrm{v}-\mathrm{u})}{\mathrm{t}}$
7. Acceleration is the rate of change of velocity, while velocity is the rate of change of displacement.
8. Hence, the rate of change in momentum is known as force.