Edexcel M1 — Question 1 6 marks

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Marks6
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicMomentum and Collisions
TypeRebound from wall or barrier
DifficultyModerate -0.8 This is a straightforward application of the impulse-momentum theorem (impulse = change in momentum) with clear given values. The main challenge is correctly handling the sign convention for velocities in opposite directions, but this is a standard M1 technique. Part (b) requires stating common modelling assumptions (uniform ball, rigid wall, etc.) which is routine recall. Significantly easier than average A-level questions as it's a single-concept, direct substitution problem with minimal problem-solving required.
Spec6.03e Impulse: by a force6.03f Impulse-momentum: relation

A tennis ball, moving horizontally, hits a wall at \(25 \text{ ms}^{-1}\) and rebounds along the same straight line at \(15 \text{ ms}^{-1}\). The impulse exerted by the wall on the ball has magnitude \(12\) Ns.
  1. Calculate the mass of the ball. [4 marks]
  2. State any modelling assumptions that you have made. [2 marks]

AnswerMarks Guidance
(a) Impulse = change in momentum: \(12 = 25m - (-15m)\)M1 A1
\(40m = 12\), \(m = 0.3\)
(b) Ball = particle, wall verticalM1 A1; B1 B1 6 marks
**(a)** Impulse = change in momentum: $12 = 25m - (-15m)$ | M1 A1 |
$40m = 12$, $m = 0.3$ | |

**(b)** Ball = particle, wall vertical | M1 A1; B1 B1 | 6 marks |
A tennis ball, moving horizontally, hits a wall at $25 \text{ ms}^{-1}$ and rebounds along the same straight line at $15 \text{ ms}^{-1}$. The impulse exerted by the wall on the ball has magnitude $12$ Ns.

\begin{enumerate}[label=(\alph*)]
\item Calculate the mass of the ball. [4 marks]
\item State any modelling assumptions that you have made. [2 marks]
\end{enumerate}

\hfill \mbox{\textit{Edexcel M1  Q1 [6]}}