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Question

A perfectly elastic ball p1of mass 'm' moving with velocity v collides elastically with three exactly similar balls p2 , p3 , p4 lying on a smooth table. Velocities of the four balls after collision are
Image_p3.png
  1. 0,0,0,0
  2. v,v,v,v
  3. v,v,v,0
  4. 0,0,0,v

A
v,v,v,0
B
0,0,0,v
C
0,0,0,0
D
v,v,v,v
Solution
Verified by Toppr

WhenP1andP2collide,theirmomentumisexchanged(sincethecollsioniselasticandthetwobodiesaresimilar).WhenP2andP3samethinghappens.ThusthemomentumofP1isfinallytransferredtoP4.P1,P2andP3willhavezerovelocityandP4willhavevelocity=v.

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