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Gravitational and Electric Forces

AP Physics 1· difficulty 4/5

Planet X has twice the radius and three times the mass of Earth. What is the surface gravitational acceleration on planet X expressed as a multiple of Earth's gg?

  • A

    gX=(3/2)gg_X = (3/2) g

  • B

    gX=(4/3)gg_X = (4/3) g

  • C

    gX=(3/4)gg_X = (3/4) g

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  • D

    gX=(1/4)gg_X = (1/4) g

Explanation

Surface gravity scales as g∝M/R2g \propto M/R^2. Then gX/gE=3/(2)2=3/4g_X/g_E = 3/(2)^2 = 3/4. Thus gX=0.75gg_X = 0.75 g.

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AP Physics 1 · Gravitational and Electric Forces Practice Question | Acemy