Question

A body of mass 10-²7 and moving at 108 ms collides with another body of mass 10-²7 at rest and stucks to it.find speed of combination

Answer 1

Let $m$ be the mass of the bodies. Let $u$ be the initial velocity of the body. Conservation of linear momentum states that the momentum before and after collision remains the same.

Let $v$ velocity after collision of the combination.

The momentum before collision is

$mu+m(0)=mu$

The momentum after collision is

$2mv$

Equating the 2 momentum,

$mu=2mv\\ v=\frac{u}{2} \\ v=\frac{108}{2} \\ v=54$

The velocity of the combination is $54\;m/s$