How impulse is fundamentally different than momentum?

Question

Are impulse and momentum really different quantities?
Is there a conservation law of Impulse too just like momentum conservation.
And lastly, will impulse be conserved for the cases where body (say a rod)is hinged. I know that momentum conservation can't be applied to cases where body is hinged.

Wolphram jonny · Answer

Yes, impulse is the same, impulse is defined as:
$$ int{Fdt}$$
and both, $F$ and $dt$ are conserved across inertial systems. If you transform into an accelerated system you need to add the pseudo forces.

The_Sympathizer · Answer

Momentum is the base quantity. Impulse is the change in momentum from an initial value $mathbf{p}_i$ to a final value $mathbf{p}_f$:
$$mathbf{I} = Delta mathbf{p} = mathbf{p}_f - mathbf{p}_i$$
However, and hence, they both have the same dimensions and units (force times time, e.g. newton-seconds and prefixed derivatives in SI).

How impulse is fundamentally different than momentum?

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