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George said,
Impulse is already a well-defined concept! Impulse is the total change in
momentum caused by application of a force over some time interval. It can
be found by integrating Fdt, but it's still the change in momentum.
Is this view widely held? I have interpreted the definitions of impulse
that I have seen to be the application of a force over a period of time.
Impulse causes a change in momentum but it is not exactly the same thing as
a change in momentum. An equal sign does not mean that both sides of an
equation are the same thing.