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MHT CET202016 Oct 2020Morning ShiftPhysicsGravitationActual

The mass of earth is 81 times the mass of the moon and the distance between their centres is R . The distance from the centre of the earth where gravitational force will be zero is

Options

  1. A9 R 10
  2. BR 2
  3. CR 81
  4. DR 4

Correct answer

A. 9 R 10

Step-by-step solution

M _ E =81 M _ M Let at a distance x from the earth, the gravitational force is zero. array c G M_ E x² = G M_ m (R-x)² G 81 M_ m x² = G M_ m (R-x)² 81 x² = 1 (R-x)² 9 x = 1 R-x 9(R-x)=x 9 R=10 x x= 9 10 R array

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