Problem: An object of mass m is dropped from height h above a planet of mass M and radius R.Find an expression for the object's speed as it hits the ground.Express your answer in terms of the variables m, M,h, R and appropriate constants.v = _____

FREE Expert Solution

Potential energy:

U=-GM1M2R

Kinetic Energy:

KE=12mv2

Potential at height h — initial potential energy:

UR+h=-GMmR+h

Initial kinetic energy:

KE0=12mv02

Potential at the surface of the planet — final potential energy:

UR=-GMmR

Final kinetic energy:

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Problem Details

An object of mass m is dropped from height h above a planet of mass M and radius R.

Find an expression for the object's speed as it hits the ground.

Express your answer in terms of the variables m, M,h, R and appropriate constants.

v = _____

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