Given:
The mass of the rock is
![m=1.0\text{ kg}](https://img.qammunity.org/2023/formulas/physics/high-school/enf37kr0onej9zb18ehzdwj97s5xry2tj0.png)
The potential at the top of the hill is
![PE=50\text{ J}](https://img.qammunity.org/2023/formulas/physics/college/mvxtrsfw9efsw0uzdlbb9vbq0ndz3eizmn.png)
To find:
If the rock rolls to the bottom of the hill, what is its kinetic energy at the bottom of the hill?
Step-by-step 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
![\begin{gathered} (KE)_(bottom)=(PE)_(top) \\ =50\text{ J} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/474rapw8rrlugka272kakr8l2456ocazrf.png)
Hence, the kinetic energy at the bottom of the hill is 50 J.