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Work and Energy in Satellite Orbits

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A satellite of mass m is in a circular orbit of radius r. What is the work required to move the satellite to a new circular orbit of radius 4r, expressed in terms of its initial gravitational potential energy?

A

The work equals 3/4 of the initial potential energy

B

The work equals the initial potential energy

C

The work equals 1/4 of the initial potential energy

D

The work equals 3/4 of the magnitude of the initial potential energy

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