Derove the law of conversation of
linear momentum with neat diagram
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Law of conservation of linear momentum states that total momentum of the system is always conserved if no external force acts on an object or system of objects..
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Explanation:
Derivation of Conservation of Momentum
Consider two colliding particles A and B whose masses are m1 and m2 with initial and final velocities as u1 and v1 of A and u2 and v2 of B. The time of contact between two particles is given as t.
A=m1(v1−u1) (change in momentum of particle A)
B=m2(v2−u2) (change in momentum of particle B)
FBA=−FAB (from third law of motion)
FBA=m2∗a2=m2(v2−u2)t FAB=m1∗a1=m1(v1−u1)t m2(v2−u2)t=−m1(v1−u1)t m1u1+m2u2=m
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