CAIE M1 2019 November — Question 1 3 marks

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2019
SessionNovember
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicFriction
TypeCoefficient from constant speed
DifficultyEasy -1.2 This is a straightforward one-step mechanics problem requiring only the application of Newton's first law (constant speed means zero acceleration, so forces balance) and the friction formula μR = F. With horizontal motion, R = mg is immediate, making this simpler than average A-level questions which typically require multiple steps or conceptual insight.
Spec3.03t Coefficient of friction: F <= mu*R model3.03u Static equilibrium: on rough surfaces

1 A crate of mass 500 kg is being pulled along rough horizontal ground by a horizontal rope attached to a winch. The winch produces a constant pulling force of 2500 N and the crate is moving at constant speed. Find the coefficient of friction between the crate and the ground.

Question 1:
AnswerMarks Guidance
AnswerMarks Guidance
\(F = \mu \times 500g\)B1 Use of \(F = \mu R\)
\(2500 = \mu \times 500g\)M1 Resolving horizontally
\(\mu = 0.5\)A1
Total: 3
**Question 1:**

| Answer | Marks | Guidance |
|--------|-------|----------|
| $F = \mu \times 500g$ | B1 | Use of $F = \mu R$ |
| $2500 = \mu \times 500g$ | M1 | Resolving horizontally |
| $\mu = 0.5$ | A1 | |
| **Total: 3** | | |

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1 A crate of mass 500 kg is being pulled along rough horizontal ground by a horizontal rope attached to a winch. The winch produces a constant pulling force of 2500 N and the crate is moving at constant speed. Find the coefficient of friction between the crate and the ground.\\

\hfill \mbox{\textit{CAIE M1 2019 Q1 [3]}}