The correct form of Newton's second law is —
F = ΔpΔt\dfrac{Δ\text p}{Δ\text t}ΔtΔp
F = m ΔvΔt\dfrac{Δ\text v}{Δ\text t}ΔtΔv
F = v ΔmΔt\dfrac{Δ\text m}{Δ\text t}ΔtΔm
F = mv
Reason — As we know,
Force = Rate of change of momentum
= Δ(mv)Δt\dfrac{Δ\text {(mv)}}{Δ\text t}ΔtΔ(mv)
= m(Δv)Δt\dfrac{\text m(Δ\text v)}{Δ\text t}Δtm(Δv)
= ma
Thus, Newton’s second law will be F = ΔpΔt\dfrac{Δ\text p}{Δ\text t}ΔtΔp