linear momentum of a body is conserved only if
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The law of conservation of momentum says that the momentum of a closed system is constant in time (conserved). ... The total momentum of a system is conserved only when the system is closed.
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The law of conservation of momentum says that the momentum of a closed system is constant in time (conserved). A closed (or isolated) system is defined to be one for which the mass remains constant, and the net external force is zero. The total momentum of a system is conserved only when the system is closed.
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