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Q.

Two particles P1 and P2 of equal masses situated at (0 , 0) and (10, 0) respectively at t = 0 moving with constant velocities collided head on at point (4 ,0) after time t0. If the coefficient o f restitution is 1 then what is the x-co-ordinate of centre of mass of the two particles at t = 2t0.

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answer is 3.

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Detailed Solution

Let u1 & u2 are the velocities of P1 & P2 respectively at t=0, thenu1=4t0 and u2=6t0At t = t0, x-coordinate of centre of mass is 4 . As velocity of C OM is remaining constant, so after further t0 time,Xcm=4+vcmt0=4+4t0−6t0⋅t02=3
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