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Homework Statement
Particle A and particle B are held together with a compressed spring between them. When they are released, the spring pushes them apart, and they then fly off in opposite directions, free of the spring. The mass of A is 5.00 times the mass of B, and the energy stored in the spring was 111 J. Assume that the spring has negligible mass and that all its stored energy is transferred to the particles. Once that transfer is complete, what are the kinetic energies of each particle?
Homework Equations
mass of particle A = 5 times mass of particle B
KE(before) = KE(after)
(1/2)mv^2 = (1/2)mv^2
The sum of KE(before and after) = 111J
The Attempt at a Solution
(1/2)mv^2 + (1/2)mv^2 = 111J
mv^2 + mv^2 = 222J
5(mass of A)v^2 + (mass of B)v^2 = 222J
and I'm not sure how I can find the individual masses from there
any suggestions on how I might be able to do that?