A-LevelMathematicsMechanics9709/41 · Oct/Nov 2018 · Q46 Marks
Two particles A and B, of masses m kg and 0.3 kg respectively, are attached to the ends of a light inextensible string. The string passes over a fixed smooth pulley and the particles hang freely below it. The system is released from rest, with both particles 0.8 m above horizontal ground. Particle A reaches the ground with a speed of 0.6 m s⁻¹.
- (i)Find the tension in the string during the motion before A reaches the ground.[4]
- (ii)Find the value of m.[2]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.
- [M1] For use of v² = u² + 2as
- [A1] a = 0.225
- [M1] For using Newton's second law for the 0.3 kg particle
- [A1] T = 3.07 N (3.0675 N)
- [M1] For using Newton's second law applied to the m kg particle
- [A1] m = 0.314 kg (0.31381...)
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