OCR M3 2008 June — Question 2 6 marks

Exam BoardOCR
ModuleM3 (Mechanics 3)
Year2008
SessionJune
Marks6
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicOblique and successive collisions
TypeBall bouncing on horizontal surface
DifficultyStandard +0.3 This is a standard M3 collision question requiring straightforward application of restitution formula and impulse-momentum theorem. Students resolve velocity into components, apply e=0.6 to the normal component, then calculate impulse from momentum change. It's slightly easier than average because it follows a textbook template with no conceptual surprises, though it requires careful component resolution.
Spec6.03j Perfectly elastic/inelastic: collisions

2 A particle \(P\) of mass 0.2 kg is moving with speed \(8 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) when it hits a horizontal smooth surface. The direction of motion of \(P\) immediately before impact makes an angle of \(27 ^ { \circ }\) with the surface. Given that the coefficient of restitution between the particle and the surface is 0.6 , find
  1. the vertical component of the velocity of \(P\) immediately after impact,
  2. the magnitude of the impulse exerted on \(P\).

2 A particle $P$ of mass 0.2 kg is moving with speed $8 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ when it hits a horizontal smooth surface. The direction of motion of $P$ immediately before impact makes an angle of $27 ^ { \circ }$ with the surface. Given that the coefficient of restitution between the particle and the surface is 0.6 , find\\
(i) the vertical component of the velocity of $P$ immediately after impact,\\
(ii) the magnitude of the impulse exerted on $P$.

\hfill \mbox{\textit{OCR M3 2008 Q2 [6]}}