Question

prove that the rate of change in momentum is equal to the applied force​

Answer 1

Force = Mass × Acceleration

Acceleration = V-U / T

where , V= Final Velocity

U= Initial Velocity

T= Time

Therefore ,

Force = Mass × (V-U/T)

= Mass ×V - Mass× U / T

Now,

Momentum (P) = Mass ×Velocity

So,

Force = P(final)- P(initial) / Time

Hence, we can say that rate of change of momentum is equal to applied force ...

Hope this answer helps you!

Answer 2

To prove- F= ma

since,

Through Newton second rule equal to change in momentum per unit time.

F= force

M = mass

U = initial velocity

V= final velocity

T= time

F= mv-mu/t

=m (v-u)/t ............(1)

from first equation of motion,

a=v-u/t

putting value of v-u/t in equation (1)

F=ma

Hence proved.