PART A

At what height above the earth is the acceleration due to gravity 5.00% of its value at the surface?

Express your answer with the appropriate units.

h = ?

Hint: Recall how free-fall acceleration can be expressed from Newton's law of universal gravitation. Then you can equate the percentage of free-fall acceleration at the earth's surface with the expression for acceleration at some height. Solve this equation with respect to height.

PART B

What is the speed of a satellite orbiting at that height?

Express your answer with the appropriate units.

v = ?

Hint: If the satellite is orbiting the earth at some height, then the only force acting on it, and thus providing acceleration, is gravitational force. You can write Newton's second law for this situation. Note that there is centripetal acceleration while the object travels along a curved trajectory.