Answer :
Given:
The mass of the rock is
[tex]m=1.0\text{ kg}[/tex]The potential at the top of the hill is
[tex]PE=50\text{ J}[/tex]To find:
If the rock rolls to the bottom of the hill, what is its kinetic energy at the bottom of the hill?
Explanation:
According to energy conservation, the kinetic energy at the bottom equals the potential energy at the top.
So, the kinetic energy at the bottom is
[tex]\begin{gathered} (KE)_{bottom}=(PE)_{top} \\ =50\text{ J} \end{gathered}[/tex]Hence, the kinetic energy at the bottom of the hill is 50 J.