Posted by P. on Sunday, March 20, 2011 at 11:02pm.
The final velocity equals the total momentum (which stays the same) divided by the combined mass (5000 lb/g or 155.3 slugs)
Add, as vectors, the two initial momenta of the two cars to get the total momentum.
In this case you can keep the speeds in mph and the masses in lbm (pounds-mass), to get a final result in mph. In general it is safest, when working in British-American units, to convert speed to ft/s and mass to slugs.
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