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_{b}and v'

_{a}are the two unknowns? I have been trying for a few hours to solve for either unknown using the conservation of momentum and the conservation of total kinetic energy equations but have come up with nothing. Can anyone help?

mava +mbvb = mav'a + mbv'b

1/2mav

^{2}a +1/2mbv

^{2}b = 1/2mav'

^{2}a + 1/2mbv'

^{2}b