Question

Challenge Tournament in Brainly - 2

State the law of conservation of. momentum and prove it.

Don't copy from other sources.​

Answer 1

law of conservation of momentum states that if the external force is 0 then the momentum of body is conserved .

I.e.

Fext= 0 then

f= dP/ dT

if f=0 then

dP= 0

and hence

P1 +P2........Pn= 0(const)

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Answer 2

heya mate !!

Law of conservation of linear momentum :- when there is no any external force applied on a system of particles then , momentum of system of particles will be conserved or you can say that if external force is zero. Then momentum of system of particles in intially = momentum of system of particles in finally.

Mathematically,

From Newton's second law,

Fext = dP/dt

If Fext = 0, ∫ dP =∫ 0.dt

Means dP = 0

e.g., Pi = Pf

Let two bodies A and B of masses m₁ and m₂ are moving with velocities u₁ and u₂ , after collision velocities of bodies are v₁ and v₂ respectively.

i hope it helps u

Then, initial momentum of bodies ,Pi= m₁u₁ + m₂u₂

Final momentum of bodies, Pf = m₁v₁ + m₂v₂

Because external force doesn't apply here, so, linear momentum will be conserved .

e.g., Pi = Pf

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂