Question

An object have mass, m is dropped from rest from a height, h. As it strikes the ground, it imparts an impulse to the ground proportional to( by assuming no energy loss)
A. m√h
B. mh
C. mh^2
D. None of above

Answer 1

For our task $h=\frac{gt^2}{2}$ , $v=gt$ hence $v=\sqrt{2gh}$ then $p=2m\sqrt{2gh}$ where $p$ is imparts an impuls to the ground.

Then $p$ is proportional to $m\sqrt{h}$ .