Question

Show that if the force acting on a particle is zero ,it's momentum will remain unchanged​

Answer 1

Answer:

see the formulae for momentum is .......p =mv.....so the mass always remain constant.......and if the force is not applied then it's velocity will not change.....hence the momentum will remain vonstant

Answer 2

as we know:

$f= \frac{d}{dt} p$

where p is the momentum vector and f is the force vector. When f acting on the particle is 0, the expression becomes:

$\frac{d}{dt} p = 0$

and as we know that derivative of ANY constant is 0, so for the condition to be fulfilled, p must be a constant value.