Momentum and CollisionHard

Question

A man of mass 80 kg stands on a plank of mass 40 kg. The plank lying on a smooth horizontal floor. Initially both are at rest. The man starts walking on the plank towards north and stops after moving a distance of 6 m on the plank. Then 

Options

A.The centre of mass of plank man system remains stationary.
B.The plank will slide to the north by a distance 4 m
C.The plank will slide to the south by a distance 4 m
D.The plank will slide to the south by a distance 12 m

Solution


Let x be the displacement of the plank.
Since CM of the system remains stationary
So 80 (6 - x) = 40 x ⇒ 12 - 2x = x ⇒ x = 4m

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