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Sagot :
The carts' ultimate momentum is zero when seen as an isolated system comprising two masses. The issue asserts that two carts collide and elastically rebound off of one another when their masses and speeds are equal.
We calculate the initial momentum as the sum of the initial momentums of the red cart and the blue cart, assuming that the right direction is positive. Since the blue cart approaches the red cart at twice the speed, we know that it will also move in the right direction to collide with the red cart (if it goes towards the left its velocity would be -2v, but that would be moving against the red cart). With this result, we may confine the study to a single dimension. Let's imagine that before they meet, the objects have the same mass and opposing velocities of the same magnitude.
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