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Will the momentum remain constant if some external force acts on the system?

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Force is what... momentum change per second.So when external force is applied momentum is being changed. So answer is 'No'. Momentum would also be changed
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Momentum is conserved only for an isolated system. If an external for acts, it will change the momentum. According to Newton's second law, the rate of change of moemtum is directly proportional to the applied the force and takes place in the direction in which the force acts.
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Prof.G Ramakrishna

Momentum is conserved only for closed system from external influences.if external net Force is acting on the system momentum of the objects change.
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