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Potential Energy

AP Physics 1· difficulty 4/5

The gravitational potential energy between two masses m1m_1 and m2m_2 separated by rr is moved from rr to r/3r/3. By how much does UU change?

  • A

    ΔU=−Gm1m23r\Delta U = -\dfrac{Gm_1m_2}{3r}

  • B

    ΔU=+2Gm1m2r\Delta U = +\dfrac{2Gm_1m_2}{r}

  • C

    ΔU=−2Gm1m2r\Delta U = -\dfrac{2Gm_1m_2}{r}

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  • D

    ΔU=−Gm1m2r\Delta U = -\dfrac{Gm_1m_2}{r}

Explanation

Uf−Ui=−3Gm1m2/r−(−Gm1m2/r)=−2Gm1m2/rU_f - U_i = -3Gm_1m_2/r - (-Gm_1m_2/r) = -2Gm_1m_2/r.

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