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 · Moderate -0.8

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CAIE M1 2022 June Q1
5 marks Moderate -0.8
Small smooth spheres \(A\) and \(B\), of equal radii and of masses \(5\text{kg}\) and \(3\text{kg}\) respectively, lie on a smooth horizontal plane. Initially \(B\) is at rest and \(A\) is moving towards \(B\) with speed \(8.5\text{ms}^{-1}\). The spheres collide and after the collision \(A\) continues to move in the same direction but with a quarter of the speed of \(B\).
  1. Find the speed of \(B\) after the collision. [3]
  2. Find the loss of kinetic energy of the system due to the collision. [2]