When is the rate of change of momentum equals zero ?

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SUMMARY

The rate of change of momentum equals zero when momentum is constant, indicating that either the momentum is zero or the velocity is constant. In mathematical terms, impulse is defined as Impulse = FΔt = mΔv, which leads to the conclusion that if there is no change in momentum (Δp = 0), then the force (F) acting on the object is also zero. This relationship highlights the direct connection between momentum, impulse, and force in classical mechanics.

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Amr719
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When is the rate of change of momentum equals zero ?
 
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Well, if the rate of change of momentum is zero, then the momentum is constant (obviously.) That can mean the momentum p = 0 (ie the velocity is zerozero.) Either way, the impulse of a force is related to the change in momentum, therefore there is no force involved if momentum is zero.

Mathematically:
Impulse = FΔt = mΔv
Therefore change in momentum = mΔv/Δt = F
Therefore the force is zero if there is no change in momentum.

Hope this helps.
 

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