Momentum and CollisionHard

Question

Two men ′A′ and ′B′ are standing on a plank. ′B′ is at the middle of the plank and ′A′ is at the end of the plank. Surface of the plank is smooth. System is initially at rest and masses are as shown in figure A and B starts moving such that the position of B remains fixed with respect to ground then ′A′ meets ′B′. The point where A meets b is located at -

Options

A.the middle of the plank
B.30 cm from the left end of the plank
C.the rough end of the plank
D.None of theses

Solution

In the ground frame
: mA ᐃxA + mB ᐃvB + mp ᐃxp = 0
⇒ 40 × 60 + 0 + 40 × ᐃxp = 0
⇒ ᐃxp = - 60 (to the left)
Hence A & B meet at the right end.

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