Prove that F=ma.

Newton’s second law of motion:

1. Newton’s second law of motion states that the force applied to the system is equal to the time rate of change of momentum.

The formula of newton’s second law:

f=m.a

A diagram to represent Newton’s second law of motion:

To prove: F=m.a

According to newton’s second law force is given by

F=dPdt

But P=mv

So, F=d(mv)dt

F=m.a[As,a=dvdt]

Hence proved