Conservation of Momentum: Solving a Collision Problem

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In the collision problem, an object with momentum n moving right collides with another object with momentum 2n moving left. The discussion centers on whether the right-moving object will move left with momentum n while the left-moving object stops, or if both will move left with momentum n/2. It is noted that the opposing forces will cancel out, raising questions about the distribution of the remaining momentum. The conversation suggests that this scenario likely involves an elastic collision, prompting further inquiry into what other conservation laws apply. Understanding momentum conservation is crucial for solving this type of collision problem effectively.
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Homework Statement


If an object with momentum n going right collides with an object with momentum 2n going left, will the right-moving object go left at momentum n while the left-moving object stops, or will both objects move left at momentum n/2?

The Attempt at a Solution


Obviously, the opposing forces are going to cancel out, but I'm not sure if the remaining n momentum is going to be distributed between both objects or not. Could someone give me a quick solution here?
 
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Presumably this is an elastic collision.

What else needs to be conserved?
 

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