Question

A body Xof mass 5 kg is moving with velocity 20 m|swhile another body Y of mass 20 kg is moving with velocity 5 m|s .Compare the momentum of the two bodies.......

Answer 1

Task. A body X of mass 5 kg is moving with velocity 20 m/s, while another body Y of mass 20 kg is moving with velocity 5 m/s. Compare the momentum of the two bodies.

Solution. If the body of mass $m$ is moved wit hvelocity $v$, then, by definition, its momentum is equal to

$p=mv.$

Thus for the body $X$ its momentum is

$p_{X}=5*20=100\,kg\,m/s,$

and the momentum of the body $Y$ is

$p_{Y}=20*5=100\,kg\,m/s.$

So they have the same momentums, though their masses and velocities are different.