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MHT CET202526 Apr 2025Morning ShiftPhysicsGravitationActual

A body weighs 45 N on the surface of the earth. The gravitational force on a body due to earth at a height equal to half the radius of earth will be

Options

  1. A20 N
  2. B22.5 N
  3. C30 N
  4. D36 N

Correct answer

A. 20 N

Step-by-step solution

The weight W = 45 , N on Earth's surface satisfies W = GMm R^2 . At height h = R/2 , the gravitational force becomes F' = GMm (R + h)^2 = GMm (3R/2)^2 = 4 9 GMm R^2 . Substituting the expression for weight yields F' = 4 9 W = 4 9 45 = 20 , N . The gravitational force at half Earth's radius is 20 , N .

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