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COMEDK2020PhysicsGravitation

Two spherical bodies of masses M and 5 M and radii R and 2 R are released in free space with initial separation between their centres equal to 12 R . If they attract each other due to gravitational force only, then the distance covered by the smaller body before collision is @@

Options

  1. A25 R
  2. B4.5 R
  3. C7.5 R
  4. D1.5 R

Correct answer

C. 7.5 R

Step-by-step solution

The given situation is shown below. Let the smaller body truvels a distance x before collision doe to gravitation attraction. Henee, M x=5 M(9 R-x) x=5(9 R-x) x=45 R-5 x 6 x=45 R x= 45 6 n= 15 2 R=7.5 n

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