when an object is at a height h from the surface is potential energy is GMm/R+h
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Answer:
The magnitude of the gravitational force is given by:
Fg = -
G m M
r2
We use the connection between force and potential energy to determine the gravitational potential energy:
F = -
dU
dr
→ U = - ∫ F dr
This gives: U = -
G m M
r
if we define the potential energy to be zero at r = ∞.
Important: the potential energy is negative!
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