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PhysicsNEET 2025Newton's law of gravitation, g and its variation

Gravitation

A body weighs 48 N on the surface of the earth. The gravitational force experienced by the body due to the earth at a height equal to one-third the radius of the earth from its surface is:

  1. A.16 N
  2. B.27 N✓
  3. C.32 N
  4. D.36 N

Solution

F∝1(R+h)2F \propto \frac{1}{(R+h)^2}. With h=R3h = \frac{R}{3}, R+h=4R3R + h = \frac{4R}{3}, so F=48×916=27F = 48 \times \frac{9}{16} = 27 N.

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