Answer to Question #213725 in Mechanics | Relativity for BASHEER SUNUSI

Question

An object of mass 2.0kg falls freely from a height 100meter into a muddy ground and comes to rest in the middle calculate the distance the body penetrate if the average retarding force is 20,000newton

Answer 1

Find the initial potential energy:

$E_i=mgh.$

The work done by the body in the mud:

$W_m=Fd.\\ E_i=W_m,\\\space\\ mgh=Fd, \\\space\\ d=\frac{mgh}{F}=0.098\text{ m}.$