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A ball in thrown up. The magnitude of it...

A ball in thrown up. The magnitude of its momentum first decreases and then increases. Does this violate the conservation of momentum principle.

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The momentum of a body is conserved only when there is no external force acting on the body. In the case under discussion. Force of gravity is acting on the body as an external force. So the change in momentum of the body does not signify any violation of the law of conservation of momentum.
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CHHAYA PUBLICATION-NEWTON'S LAWS OF MOTION-HIGHER ORDER THINKING SKILL (HOYS) QUESTIONS
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