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PRACTICE · MEMBERSIntermediate · Single correct

PRACTICE / Gravity inside a sphere

Use the mass inside the point

A uniform spherical body has radius R and surface gravitational field magnitude 10 m/s².

Find the gravitational field magnitude at distance R/4 from its center.

Organize the givens & assumptions
  • g at r = R is 10 m/s²
  • Interior radius r = R/4

Uniform density, spherical symmetry, Newtonian gravity and no rotation; a test probe does not disturb the body.

  1. A2.5 m/s22.5\ \mathrm{m/s^2}
  2. B160 m/s2160\ \mathrm{m/s^2}
  3. C40 m/s240\ \mathrm{m/s^2}
  4. D0 m/s20\ \mathrm{m/s^2}

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