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## Homework Statement

A 0.180 kg croquet ball makes an elastic head-on collision with a second ball initially at rest. The second ball moves off with half the original speed of the first ball.(a) What is the mass of the second ball?(b) What fraction of the original kinetic energy (KE/KE) gets transferred to the second ball?

## Homework Equations

a)1/2Mava^b+1/2Mbvb^2=1/2Mav2a^2+1/2Mbv2b^2

b)mava+mbvb=mav2a+mbv2b

## The Attempt at a Solution

I solved for "v2a" using equation b and got mb2.77777va I then plugged this back into equation a and got (.5)(.18)(va)^2=(.5)(.18)((mb)(2.77777)(va))^2+(.5)(mb)((.5)(va))^2. If I've done this correctly I still don't know how to solve it correctly to find the mass of "ball b"