Question

Explain the law of conservation of momentum with mathematical example

Answer 1

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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.

question-

There are cars with masses 4kg and 10kg respectively that are at rest. Car having the mass 10kg moves towards east with the velocity of 5m.s-1. Find the velocity of car with mass 4kg with respect to ground.

Ans: Given,

m1 =4kg

m2 = 10kg

v1 = ?

v2 = 5m.s-1

We know from law of conservation of momentum that,

$P_{initial}$ = 0, as the cars are at rest

$P_{final}$ = p1 + p2

$P_{final}$ = m1.v1 + m2.v2

= 4kg.v1 + 10kg.5m.s-1

Pi = Pf

0=4kg.v1+50kg.m.s-1

v1 = 12.5 m.s-1

Answer 2

Answer:

The law of momentum conservation can be stated as follows. for a collision occurring between object 1 and object in an isolated system, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision.

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