Moderate -0.8 This is a straightforward application of the circular motion formula F = mv²/r with all values given directly. It requires only substitution into a standard formula with no complicating factors like resolving forces, banked tracks, or multi-step reasoning—simpler than average A-level questions.
1 A railway engine of mass 50000 kg travels at a constant speed of \(25 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) on a horizontal circular track of radius 1250 m . Find the magnitude of the horizontal force on the engine.
# Question 1:
| Answer | Mark | Guidance |
|--------|------|----------|
| For using Newton's second law with $a = v^2/r$ | M1 | |
| $F = 50000 \frac{25^2}{1250}$ | A1 | |
| Magnitude of the force is 25 000 N | A1 | |
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1 A railway engine of mass 50000 kg travels at a constant speed of $25 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ on a horizontal circular track of radius 1250 m . Find the magnitude of the horizontal force on the engine.
\hfill \mbox{\textit{CAIE M2 2003 Q1 [3]}}