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Momentum (as energy) isn't lost, it is transferred. Momentum is lost to friction when the ball is rolling, but in the described situation, the momentum is basically all transferred to the box upon impact. The box may tip over if light enough, or the box may break, or if heavy enough and built well enough, the box may absorb the impact and be left seemingly untouched. If the ball continues to roll after impact (if it bounces over/around/off of the box, then only partial momentum has been transferred to the box.

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A ball roll down the hill and hits a box the momentum of the ball decreases which happen to the momentum?

The momentum of the ball decreases because some of its momentum is transferred to the box upon collision. This conservation of momentum is described by the law of conservation of momentum, which states that the total momentum of a closed system remains constant before and after a collision.


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By the Law of Conservation of Momentum, the total momentum after the collision must be the same as the total momentum before the collision.


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