Question

explain the law of conversation of momentum with the help of derivation​

Answer 1

Answer:

* law of conservation of momentum is a scaler product of velocity with mass.

* according to the law of conservation of momentum, momentum remains same before and after the collision.

Proof: let we take two objects one object having mass 1=m1, initial velocity u1 and final velocity v1 and other object having mass m2 initial velocity u2 and final velocity v2

After some seconds objects will collide each other

So before collision

_Net momentum = m1v1 + m2u2

Now let these two collides so mass remains same but velocity changes

So,

Pa=m1v1 + m2v2 _(2)

Now,

F12=f21

So

F12=m1v1_m1u1/t _(3)

Also

F21=m21=m2v2_m2u2/t - (4)

But F12=F21

So m1v1-m1u1=(m2v2+m2u2/t)

Or m1v1-m1u1=m2v2+m2u2

Or m1v1+m2v2=m1u2+m2u2

But 1 and 2

Pa=Pb

Hence proof!!!

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