a) Show that the rate of change for free fall acceleration with distance above the Earth's surface is db/dr= - 2GM/R^3
b) Assume that h is small in comparison to the radius of the Earth, show the difference in free fall acceleration between two points separated by a vertical distance h is: absolute value of change in g= 2GMh/R^3
c)Evaluate this difference for h=6
b) Assume that h is small in comparison to the radius of the Earth, show the difference in free fall acceleration between two points separated by a vertical distance h is: absolute value of change in g= 2GMh/R^3
c)Evaluate this difference for h=6