Question

The gravitational potential energy of a body at a distance $r$ from the centre of the earth is $U$. The gravitational force at that point is.

• A. $\frac{U}{r^2}$
• B. $\frac{U}{r}$
• C. $Ur$
• D. $U{r}^2$

Answer 1

The correct option is B $\frac{U}{r}$

Here, $U=-\frac{GMm}{r}andF=-\frac{GMm}{r^2}\hat{r}$

Thus $F=\frac{U}{r}$