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A cue ball in a frictionless environment collides with three stationary billiard balls. How does the momentum of the three billiard balls change due to the collision?Multiple choice question.The momentum that the group of balls gained is equal to the momentum that the cue ball lost. Momentum is conserved.The momentum of the group of balls does not change, nor does the momentum of the cue ball. Momentum is conserved.The momentum that the group of balls gained is less than the momentum that the cue ball lost. Momentum is not conserved.The momentum that the group of balls gained is more than the momentum that the cue ball lost. Momentum is not conserved.Need help? Review these concept resources.

Question

A cue ball in a frictionless environment collides with three stationary billiard balls. How does the momentum of the three billiard balls change due to the collision?Multiple choice question.The momentum that the group of balls gained is equal to the momentum that the cue ball lost. Momentum is conserved.The momentum of the group of balls does not change, nor does the momentum of the cue ball. Momentum is conserved.The momentum that the group of balls gained is less than the momentum that the cue ball lost. Momentum is not conserved.The momentum that the group of balls gained is more than the momentum that the cue ball lost. Momentum is not conserved.Need help? Review these concept resources.

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Solution

The correct answer is: "The momentum that the group of balls gained is equal to the momentum that the cue ball lost. Momentum is conserved."

This is because in a closed system (like this one, where there's no external forces acting on the balls), the total momentum before the collision is equal to the total momentum after the collision. This is known as the law of conservation of momentum.

So, if the cue ball loses some momentum due to the collision, that momentum must be gained by the other balls. Hence, the momentum that the group of balls gained is equal to the momentum that the cue ball lost.

This problem has been solved

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