A conservative force held function is given by `F=k//r^2`, where k is a constant.
a. Determine the potential energy funciton `U(r)` assuming zero potential energy at `r=r_0`.
b. Also, determine the potential energy at `r=oo`.

Explanation

To solve the problem step by step, we will follow the instructions given in the video transcript and apply the relevant physics concepts.

### Part a: Determine the potential energy function U(r)

1. **Understand the relationship between force and potential energy**:
The relationship between a conservative force \( F \) and the potential energy \( U \) is given by:
\[
F = -\frac{dU}{dr}
...