A-LevelMathematicsMechanics9709/43 · May/June 2023 · Q24 Marks

A car of mass 1500kg is towing a trailer of mass mkg along a straight horizontal road. The car and the trailer are connected by a tow-bar which is horizontal, light and rigid. There is a resistance force of FN on the car and a resistance force of 200N on the trailer. The driving force of the car's engine is 3200N, the acceleration of the car is 1.25 ms⁻² and the tension in the tow-bar is 300N.

Mark scheme

Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.

[M1] Attempt to use Newton's second law
[A1] Trailer 300 - 200 = m × 1.25 or Car 3200 - F - 300 = 1500 × 1.25 or System 3200 – F – 200 = (1500+ m) × 1.25. Any 2 equations.
[M1] Solve for m or F
[A1] m = 80 and F = 1025

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Topic: Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source: A-Level Mathematics, May/June 2023 Paper 4 Variant 3, question 2.

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