1 Small smooth spheres \(A\) and \(B\), of equal radii and of masses 5 kg and 3 kg respectively, lie on a smooth horizontal plane. Initially \(B\) is at rest and \(A\) is moving towards \(B\) with speed \(8.5 \mathrm {~ms} ^ { - 1 }\). The spheres collide and after the collision \(A\) continues to move in the same direction but with a quarter of the speed of \(B\).
- Find the speed of \(B\) after the collision.
- Find the loss of kinetic energy of the system due to the collision.