Loss of kinetic energy in collision

Calculate the loss (or total loss across multiple collisions) of kinetic energy due to collision by comparing kinetic energies before and after.

1 questions · Standard +0.3

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CAIE M1 2022 November Q2
5 marks Standard +0.3
2 Small smooth spheres \(A\) and \(B\), of equal radii and of masses 6 kg and 2 kg respectively, lie on a smooth horizontal plane. Initially \(A\) is moving towards \(B\) with speed \(5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and \(B\) is moving towards \(A\) with speed \(3 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). After the spheres collide, both \(A\) and \(B\) move in the same direction and the difference in the speeds of the spheres is \(2 \mathrm {~ms} ^ { - 1 }\). Find the loss of kinetic energy of the system due to the collision.