Chapter 11, Problem 52P

(a)

To determine

To show: The rate of change of free fall acceleration with vertical position near the Earth’s surface is $\frac{dg}{dr}=\left(-\frac{2G{M}_{\text{E}}}{R_{\text{E}}^3}\right)$.

(b)

To determine

To show: The difference in free fall acceleration with between two points separated by vertical distance $h$ is $\left|\Delta g\right|=\left(\frac{2G{M}_{\text{E}}h}{R_{\text{E}}^3}\right)$.

(c)

To determine

To determine: The difference in free fall acceleration between two points separated by vertical distance $h=6.0\text{m}$.