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A cart of mass m traveling to the right on a frictionless track with a speed...

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