Question

show that the rate of change of momentum is equal to product of mass and acceleration

Answer 1

relation between Force and momentum

pi= mass x initial velocity
= mu
pf=mass x final velocity
= MV
∆P= pf -pi
=mv-mu
=m(v-u). (1)
=mass x change in velocity
also, F is directly proportional to pf-pi/t
or F=k(pf-pi/t) where k is constant of proportionality
using (1)
F= m(v-u)/t
= m x (v-u/t)
= m x a. as v-u/t=a
thus we can say Change in momentum will directly effect the force.

Answer 2

Hey user..

We have to show that F=ma

We know that rate of change of momentum is directly proportional to the force applied nd in direction of force

Rate of change of momentum is directly proportional to MV1 - MV2/t
F is directly proportional to M(V1 -V2)/t
F is directly proportional to Ma.
F=kma(k is constant of proportionality)
nd k=1.
F=ma

Hope this will help u.