Question

(0)
19. 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 12 R. If
they attract each other due to gravitational force
only, then the distance covered by the smaller body
before collision is
[AIPMT-2015]
(1) 1.5R
(2) 2.5R
(3) 4.5R
(4) 7.5R

Answer 1

Explanation:

Suppose let the smaller body cover a distance x before collision then -:

Mx =5M(9R - x)

X=45R-5x

6x= 45R

X=45R/6

X= 7.5R

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Answer 2

since the bodies move under the influence of of gravitational force which is an internal force so no change in momentum takes place