Question

A cart of mass M traveling to the right on a frictionless track with a speed 4v0 collides with another cart of mass 2M traveling to the left with a speed v0. If this collision is perfectly elastic, and carts travel in opposite directions after collision, determine the speeds of the two carts immediately after the collision in terms of M and v0.

Answer 1

Before collision After collision M 2M M 2M 40 V ป > • Apply momentum conservation = 4 MV - QMVO = - MV, + 2 MV2 = 2V 2-Y = 24 - 0 As this is perfectly elastic collision=) No energy does. = (KE) Initial = lk.El fina =) I'm.c4v.)? + 1 1/2m) Vo = 1 / Mu? + 1 (2M V ) qe t u v = 18v? _W from => (22-2v)² + 2V2 = 180 => {V, 271 80 O & Gi put it into @ then V=85.

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