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Q.

Two particles A and B having masses m and 3m are initially at rest at a separation 4m. They start moving towards each other under the influence of mutual gravitational force of attraction.  After some time, if displacement of A is 0.1 m, then magnitude of displacement of B at that instant is

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a

1 m

b

13m

c

16m

d

23m

answer is B.

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Detailed Solution

(2)As external force acting on the system is zero, position of its centre of mass remains unchanged.∴   mA+mB × rcm  =  mA.rA+  mB.rB⇒  mA+mB ×  Δrcm  =  mA.ΔrA+  mB.ΔrB⇒  m+3m ×0  =  m  ×  1+3m  ×  ΔrB⇒   ΔrB =−13  metre.Therefore B moves by 1/3 metre in opposite direction.
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Two particles A and B having masses m and 3m are initially at rest at a separation 4m. They start moving towards each other under the influence of mutual gravitational force of attraction.  After some time, if displacement of A is 0.1 m, then magnitude of displacement of B at that instant is