A-LevelMathematicsMechanics9709/41 · May/June 2022 · Q25 Marks

Two particles P and Q, of masses 0.5 kg and 0.3 kg respectively, are connected by a light inextensible string. The string is taut and P is vertically above Q. A force of magnitude 10N is applied to P vertically upwards. Find the acceleration of the particles and the tension in the string connecting them.

Find the acceleration of the particles and the tension in the string connecting them.[5]

Mark scheme

Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.

[M1] Use of Newton's second law for P or Q or system (Allow sign errors. Do not allow g missing)
[A1] For P: 10-0.5g – T = 0.5a, For Q: T- 0.3g = 0.3a, For system: 10 – 0.5g – 0.3g = 0.8a (For any two correct)
[M1] For attempt to solve for either a or T (From equation(s) with no missing or extra terms. Allow g missing.)
[A1] a = 2.5 ms⁻²
[A1] T = 3.75 N

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Topic: Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source: A-Level Mathematics, May/June 2022 Paper 4 Variant 1, question 2.

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