Question

state and prove principal of conservation of momentum

Answer 1

According to law of conservation of momentum,the momentum of body remains constant before and after a action when no external force acts on the body.

This can be proven by newton's third law

If F is action and R is reaction.[both F and R are forces]

F = -R
F + R = 0 [Which means that no external force is acting]

d(F)/dt + d(R)/dt = 0  [∵ d(F)/dt = P where P is momentum]

d(F+R)/dt  = 0

d(P)/dt = 0

As the differentiation of Constant is 0 P is considered as constant now

Hence Proved

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@rishitezreddydhava

Answer 2

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Conservation 0f Momentum➫ A system in which the momentum of a system is constant if there are no external forces acting on the system.

Prove: Conservation 0f Momentum:-▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃⤵

➧Let the Body A = m1 & B = m2

➧Let their velocity be u1 & u2
(u1 > u2)

➧Momentum of Body
A = m1u1 & B = m2u2

❱ Initial & Final momentum of System
➾ m1u1 + m2u2

◉ Body A exert force of Action
➾ Fᴀʙ on Body B.

◉ Body B exert force of Reaction
➾ Fʙᴀ on Body A.

▸ Fᴀʙ = Body A
➾ m1 (v1 - u1) / t

▸ Fʙᴀ = Body B
➾ m2 (v2 - u2) / t

▸ Since, Action = - reaction
▸ So, Fᴀʙ = - Fʙᴀ

m1 (v1 - u1) / t = - m2 (v2 - u2) / t

▸ m1v1 - m1u1 = m2v2 + m2u2
▸ m1v1 - m2v2 = m1u1 + m2u2...✔

_________
Thanks...✊