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Two balls with masses of of 2.5 kg and 6.2 kg travel toward each other at...

Two balls with masses of of 2.5 kg and 6.2 kg travel toward each other at speeds of 9 m/s and 3.5 m/s, respectively. If the balls have a head-on inelastic collision and the 2.5-kilogram ball recoils with a speed of 7.00 m/s, how much kinetic energy is lost in the collision?

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Answer #1

m1u1 + m2u2 = (m1v1 + m2v2)

2.5*9- 6.2*3.4 = (-2.5*7 + 6.2V)

=> V = 2.17 m/s

KE loss = KE1 - KE2 = (1/2*2.5*(9)^2 + 1/2*6.2*(3.5)^2 )- (1/2*2.5*(7)^2 + 1/2*6.2*(2.17)^2) = 63.37 J

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