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Q.

Particles of masses 12 kg and 6 kg are released from a separation 60 m and move towards each other under the mutual gravitational force. they will hit each other at a distance of: 

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a

15 m from the initial position of 12 kg

b

20 m from the initial position of 12 kg

c

20 m from the initial position of either mass

d

20 m from the initial position of 6 kg

answer is A.

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Detailed Solution

Since the bodies are moving due to mutual gravitational force and there is no external force, they collide at their centre of mass.

Xcm=m1x1+m2x2m1+m2=12×0+6×6018=20m

20m from 12kg body's initial position.

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