Momentum and CollisionHard

Question

Three man A, B and C mass 40 kg, 50 kg  60 are standing on a plank pf mass 90 kg, which is. kept on a smooth horizontal plane. If  A & C exchange their positions then mass B will shift

Options

A.1/3 m towards left    
B.1 / 3 m towards right
C.will not move w.r.t. ground    
D.5 / 3  m towards left

Solution

Let xp = x shift of plank to the right
=
0 = ⇒ x =

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