
Arturo O. answered 04/18/17
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Percent of K lost is 100(Ki - Kf)/Ki.
You already have an expression for Ki, and you need to find vf so you can evaluate Kf. Assume linear momentum is conserved in this totally inelastic collision. Then
m1v1i + m2v2i = (m1 + m2)vf ⇒
vf = (m1v1i + m2v2i) / (m1 + m2)
Now that you have vf, get Kf from
Kf = 0.5 (m1 + m2) vf2
Now you have everything you need to evaluate the percent change in K using
% change = 100(Ki - Kf)/Ki.
But without numbers to plug in for m1, m2, v1i, and v2i, you will end up with a very cumbersome expression to simplify.

Arturo O.
You are welcome, Ab.
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04/18/17
Ab L.
04/18/17