Question

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true or false: in a two - dimensional collision, momentum can only be conserved in one dimension, not both.
false
true

Explanation:

In a two - dimensional collision, the law of conservation of momentum applies in both the \(x\) and \(y\) directions. This is because momentum is a vector quantity. For a system of colliding objects with no external forces, the total initial momentum in the \(x\) - direction equals the total final momentum in the \(x\) - direction (\(\sum p_{ix}=\sum p_{fx}\)), and the total initial momentum in the \(y\) - direction equals the total final momentum in the \(y\) - direction (\(\sum p_{iy}=\sum p_{fy}\)).

Answer:

A. False