Question 2
a. Explain the characteristics of the momentum and energies for isolated collisions. Compare the characteristics of an elastic collision with an inelastic collision. (4 marks)
b. In a game of snooker a force of F = 15 N is applied from a cue stick to the white ball which is initially at rest for 0.05s. The white ball then rolls and hits the black ball in a purely elastic collision. The mass of the balls are similar (m = 0.15 kg).
30° F=155
9
Pt = mv,
6
0
3m/s
• vb= aR + b9
i. Write the applied force, F to the cue stick in terms of component vector R and •. (1 mark)
ii. Due to the 0.05s impulse, the white ball gains momentum. Determine the momentum, if, of the white ball (write it in terms of component vector R and 9). (2 marks)
iii. After hitting the black ball the white ball travels at a 60° off angle and velocity of 3m/s as shown in the diagram. Determine the momentum of the black ball in terms of component vector R and 9. (Assume that the table is frictionless). (6 marks)
iv. What is the final direction, 6° of the black ball?
(2 marks) [Total 15 marks]