Question

Define law of conservation of momentum.......

Answer 1

What is Law of Conservation of Momentum?

Answer:

Law of conservation of momentum states that

For two or more bodies in an isolated system acting upon each other, their total momentum remains constant unless an external force is applied. Therefore, momentum can neither be created nor destroyed.

Law of conservation of momentum is an important consequence of Newton’s third law of motion.

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=m1v1+m2v2

Therefore, above is the equation of law of conservation of momentum where, m1u1+m2u2 is the representation of total momentum of particles A and B before collision and m1v1+m2v2 is the representation of total momentum of particles A and B after collision.

Related Articles:

Law of Conservation of Energy

Law Of Conservation Of Angular Momentum

Law of Conservation of Momentum Examples

Following are the examples of law of conversation of momentum:

Air filled balloons

System of gun and bullet

Motion of rockets

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Answer 2

Laws of conservation.......

If no external force is acting , the total momentum after collision is equal to total momentum before collision .

Or........

If no external force is acting on a system, the total momentum of system remains constant .