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.

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.

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