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Physics

The correct form of Newton's second law is —

  1. F = ΔpΔt\dfrac{Δp}{Δt}

  2. F = m ΔvΔt\dfrac{Δv}{Δt}

  3. F = v ΔmΔt\dfrac{Δm}{Δt}

  4. F = mv

Laws of Motion

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Answer

F = ΔpΔt\dfrac{Δp}{Δt}

Reason — As we know,

Force = Rate of change of momentum

F = ΔpΔt\dfrac{Δp}{Δt}

= Δ(mv)Δt\dfrac{Δ(mv)}{Δt}

= m(Δv)Δt\dfrac{m(Δv)}{Δt}

= ma

Thus, Newton’s second law will be F = ΔpΔt\dfrac{Δp}{Δt}

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