AQA Further AS Paper 2 Mechanics 2023 June — Question 7

Exam BoardAQA
ModuleFurther AS Paper 2 Mechanics (Further AS Paper 2 Mechanics)
Year2023
SessionJune
TopicMomentum and Collisions 1

7 Two smooth, equally sized spheres, \(A\) and \(B\), are moving in the same direction along a straight line on a smooth horizontal surface, as shown in the diagram below.
\includegraphics[max width=\textwidth, alt={}, center]{78120346-4a16-4545-925a-d6fab4b750e9-06_314_465_420_849} The spheres subsequently collide.
Immediately after the collision, \(A\) has speed \(2.5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and \(B\) has speed \(3.5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) The coefficient of restitution between the spheres is \(e\) 7
    1. Show that \(A\) does not change its direction of motion as a result of the collision.
      7
  1. (ii) Find the value of \(e\)
    7
  2. Given that the mass of \(B\) is 0.6 kg , find the mass of \(A\)