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How would you derive relation between momentum and newton's second law

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4 votes

Answer:

F = Δ(mv)/Δt = ma

Step-by-step explanation:

Newton's second law states that the force exerted on an object is equal to the rate of change of its momentum.

Let F represent force and p momentum and p = mv where m = mass and v = velocity

This implies that F = Δp/Δt = Δ(mv)/Δt if the mass is constant, we have

F = mΔv/Δt and we know that acceleration, a = Δv/Δt

So, F = ma which is Newton's second Law.

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User Mlb
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