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avatarAsked on December 26, 2019 by Shrashti Sukrutha

Two bodies of masses and are initially at rest at infinite distance apart. They are then allowed to move towards each other under mutual gravitational attraction. Their relative velocity of approach at a separation distance between them is

A

B

C

D

Answer

By applying law of conservation of momentum, 
........ (i)
Where and are the velocities of masses and at a distance from each other.
By conservation of energy,
Change in = change in
........ (ii)
Solving eqn. (i) and (ii) we get
and
Relative velocity of approach,

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