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Center of Mass and Collision question

2015 · Q146
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Center of Mass and Collision question

2015 · Q146

NEETPhysicsCenter of Mass and CollisionMCQ+4 / −1
Two spherical bodies of mass M and 5M and radii R and 2R are released in free space with initial separation between their centres equal to 12R. If they attract each other due to gravitational force only, then the distance covered by the smaller body before collision is :
  1. A
    7.5R
  2. B
    1.5R
  3. C
    2.5R
  4. D
    4.5R
View written solutionFree

Correct answer: A

AIPMT 2015 Cancelled Paper Physics - Center of Mass and Collision Question 14 English Explanation


Let the distance moved by spherical body of mass M is x1 and by spherical body of mass 5m is x2.

As their C.M. will remain stationary

∴\therefore∴ (M) (x1) = (5M) (x2) ⇒\Rightarrow⇒ x1 = 5x2

x1 + x2 = 9R

So, x1 = 7.5 R

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