- #1

shk

- 78

- 8

## Homework Statement

The change in gravitational potential energy of a mass m as it moves from the surface to a height h above the surface of a planet of mass M and radius R is given by:

ΔPE= GMmh/R(R+h)

a) show that when h is very small compared to R , this approximates to the more familiar expression for the change in gravitational potential energy near the surface.

b) Potential energy increases as h increases. To what value does it tend as h approaches infinity?

c) Explain the difference between potential energy and potential.

d) sketch a graph of the variation in gravitational potential with height near the surface of the planet . What is the significant of the slope of this graph?

## Homework Equations

v=-GM/r

g=Gm/r^2

Ep=-GMm/r

## The Attempt at a Solution

i think for part a when h is very small in compared with R, the equation would be the same equation we have for g. g=Gm/r^2. but still not sure and don't even know how to show this. I can do it Mathematically but not through physics. plus I'm not even sure if this is correct.

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