Two bodies of masses m 1 and m 2 are infinitely at rest at an infinite distance apart. They are then allowed to move towards each other under mutual gravitational attraction. The relative velocity of approach at a separation r between them is

Question

Two bodies of masses m 1 and m 2 are infinitely at rest at an infinite distance apart. They are then allowed to move towards each other under mutual gravitational attraction. The relative velocity of approach at a separation r between them is, 2 G m 1 + m 2 r 1 2, 2 G r m 1 m 2 1 2, 2 G m 1 - m 2 r 1 2, r 2 G m 1 m 2 1 2

MARKS App · Accepted Answer

∵ Change in P.E = Change in K.E 1 2 μ v 2 = G m 1 m 2 r Where, μ is reduces mass μ = m 1 m 2 m 1 + m 2 ∴ 1 2 m 1 m 2 m 1 + m 2 v 2 = G m 1 m 2 r v = 2 G r m 1 + m 2

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