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I have a mass of 500 grams travelling at 7m/s that hits and sticks to another mass of 50 grams that was stationary.

What acceleration does the second ( 50 gram ) mass experience?

I have tried using a Runge-Kutta 4th order algorithm to solve some Differential Equations of motion and assuming a very high K value for the stiffness of the materials, but I think this is too complex.

How can I calculate the acceleration, preferably on a time basis, not just assuming that it took 0.1 seconds to get upto the new combined speed of approx 6.9?? m/s.

Thanks

Stuman