Two small smooth spheres \(A\) and \(B\), each with the same radius and with masses of \(5\,\text{kg}\) and \(3\,\text{kg}\) respectively, rest on a smooth horizontal plane. At the start, \(B\) is at rest, whereas \(A\) moves towards \(B\) at a speed of \(8.5\,\text{m s}^{-1}\). The spheres collide, and afterwards \(A\) continues in the same direction, but at one quarter of \(B\)'s speed.
(a)[3]
Find \(B\)'s speed after the collision.
(b)[2]
Find the reduction in kinetic energy of the system caused by the collision.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use the principle of conservation of momentum.” …