If m1 is the mass of the first object, then you know what m2 is.

If v1 is the velocity of the first object before the crash, then you can guess what v2 is

Let v1' be the velocity of the first object after the crash.

Let v2' be the velocity of the second object after the crash.

You now have all of the symbols to make the one dimensional momentum conservation equation.

Momentum before = Momentum after becomes

m1v1 + m2v2 = m1v1' + m2v2'

Here is a twist: if the two masses stick together, then they have the same velocity v' immediately after the crash (before transferring momentum to the Earth). In this case

m1v1 + m2v2 = (m1 + m2) v'

Try some problems:

If v1 is the velocity of the first object before the crash, then you can guess what v2 is

Let v1' be the velocity of the first object after the crash.

Let v2' be the velocity of the second object after the crash.

You now have all of the symbols to make the one dimensional momentum conservation equation.

Momentum before = Momentum after becomes

m1v1 + m2v2 = m1v1' + m2v2'

Here is a twist: if the two masses stick together, then they have the same velocity v' immediately after the crash (before transferring momentum to the Earth). In this case

m1v1 + m2v2 = (m1 + m2) v'

Try some problems:

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