Question

What will be the momentum of a body, if the force acting on the body is zero?

Answer 1

Force acting on a body:

The force acting on a body is the rate of change of momentum.

$\mathrm{F}=\frac{\mathrm{dP}}{\mathrm{dt}}$

where,

P is momentum,

t is time.

Now if the force acting on the body is zero, then

$\Rightarrow \frac{\mathrm{dP}}{\mathrm{dt}}=0$

i.e. the momentum is constant.

Therefore, if the force acting on the body is zero, then the momentum is constant with respect to time.