derive the total linear momentum is conserved
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conservation of momentum
according to principle of conservation of linear momentum the total momentum of a system remains constant if no external force acts on it.
consider two balls of mass M1 B of mass M2 rolling on a perfectly smooth table with initial velocities UA and UB such that Ua greater than Ub. they undergoes collision for time t and move with velocities Va and Vb.
so,
the action force= F\tiny{AB}theactionforce=FAB
and for more sollution
please refer to the pic
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Derivation of Conservation of Momentum
Applying Newton's third law, these two impulsive forces are equal and opposite i.e. If the time of contact is t, the impulse of the force F21 is equal to the change in momentum of the first object. ... This relation suggests that momentum is conserved during the collision.
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