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Motion of Orbiting Satellites

AP Physics 1· difficulty 4/5

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A satellite of mass mm orbits at radius rr around a planet of mass MM. Its orbital kinetic energy is:

  • A

    2GMmr\dfrac{2GMm}{r}

  • B

    −GMm2r-\dfrac{GMm}{2r}

  • C

    GMmr\dfrac{GMm}{r}

  • D

    GMm2r\dfrac{GMm}{2r}

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Explanation

From mv2/r=GMm/r2mv^2/r = GMm/r^2, so K=12mv2=GMm/(2r)K = \tfrac12 mv^2 = GMm/(2r).

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