Question

Prove that $F=ma.$

Answer 1

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

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

But $P=mv$

So, $F=\frac{d\left(mv\right)}{dt}$

$F=m.a[As,a=\frac{dv}{dt}]$

Hence proved.