# Question #c4ae2

Aug 18, 2017

yes,it can.

#### Explanation:

Newton's 1st law of motion: 'A body will continue to be in its state of rest or motion unless an unbalance external force acts upon it.'

Let a body move with an velocity 'v' having mass 'm'.
so it will gain a momentum due to its motion,which will be equal to product of its mass and velocity.
$t h i s \implies p = m v$

Now let an external unbalanced force act upon it.This will change it momentum.
$\implies \delta p = \delta m v$
($\delta$ represent 'change in' )

Mass never changes ,so change must be in velocity.
$\implies \delta p = m \delta v$

As we know,rate of change of momentum is equal to force and rate of change of velocity gives acceleration.
$\implies F = m a$
This is the 2nd law of motion.
Hence derived.