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Motion of Orbiting Satellites

AP Physics 1· difficulty 4/5

r 2r

How much energy must be added to move a satellite of mass mm from a circular orbit of radius rr to a circular orbit of radius 2r2r around a planet of mass MM?

  • A

    −GMm4r-\dfrac{GMm}{4r}

  • B

    +GMmr+\dfrac{GMm}{r}

  • C

    +GMm4r+\dfrac{GMm}{4r}

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  • D

    +GMm2r+\dfrac{GMm}{2r}

Explanation

E2−E1=−GMm/(4r)−(−GMm/(2r))=GMm/(4r)E_2 - E_1 = -GMm/(4r) - (-GMm/(2r)) = GMm/(4r).

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