can momentum be conserved for a system if there are external forces acting on the system ? if so , under what conditions ? if not , why ?
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Answer:
No. The law of conservation of momentum holds only when external force(s) acting on the body is 0.
Explanation:
Consider a body with no external forces, so,
∑F(ext) = 0
∴ From Newton's 2nd Law of motion,
∑F(all forces acting on body) = ma = Δp/Δt
So,Δp/Δt =0
⇒Δp=0
⇒p(final) =p(initial)
Hence momentum remains conserved.
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