| Exam Board | Pre-U |
|---|---|
| Module | Pre-U 9794/3 (Pre-U Mathematics Paper 3) |
| Year | 2013 |
| Session | November |
| Marks | 7 |
| Topic | Momentum and Collisions 1 |
| Type | Vertical drop and bounce |
| Difficulty | Moderate -0.3 This is a straightforward mechanics question testing standard coefficient of restitution and impulse formulas. Part (i) requires using energy conservation to find velocities before/after impact, then applying e = v_after/v_before. Part (ii) uses impulse = change in momentum. Both parts are direct applications of standard formulas with minimal problem-solving required, making it slightly easier than average but not trivial due to the multi-step calculation. |
| Spec | 6.03f Impulse-momentum: relation6.03k Newton's experimental law: direct impact |
A ball of mass 0.04 kg is released from rest at a height of 1 metre above a table. It rebounds to a height of 0.81 metre.
\begin{enumerate}[label=(\roman*)]
\item Find the value of $e$, the coefficient of restitution. [4]
\item Find the impulse on the ball when it hits the table. [3]
\end{enumerate}
\hfill \mbox{\textit{Pre-U Pre-U 9794/3 2013 Q8 [7]}}