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Gravitational and Electric Forces

AP Physics 1· difficulty 3/5

A satellite in circular orbit is held by gravity, which provides the centripetal force. Doubling the orbital radius (same Earth) changes the satellite's orbital speed by a factor of

  • A

    1/21/2

  • B

    1/21/\sqrt{2}

    check_circle
  • C

    22

  • D

    2\sqrt{2}

Explanation

GMm/r2=mv2/r⇒v=GM/rG M m/r^2 = m v^2/r \Rightarrow v = \sqrt{G M/r}. Doubling rr multiplies vv by 1/21/\sqrt 2.

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