AIPMT | 2015Center of MassHard

Question

Two spherical bodies of mass M and 5M and radii R and 2R respectively 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 just before collision is

Options

A.2.5R
B.4.5R
C.7.5R
D.1.5R

Solution

The two spheres collide when the smaller sphere covered the distance of 7.5 R they will collide at COM of the system that is 7.5m from small mass. .

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