A-LevelMathematicsMechanics9709/52 · May/June 2019 · Q58 Marks
A light elastic string has natural length a m and modulus of elasticity λ N. When the length of the string is 1.6 m the tension is 4 N. When the length of the string is 2 m the tension is 6 N.
- (i)Find the values of a and λ.[5]
- (ii)One end of the string is attached to a fixed point O on a smooth horizontal surface. The other end of the string is attached to a particle P of mass 0.2 kg. The particle P moves with constant speed on the surface in a circle with centre O and radius 1.9 m. Find the speed of P.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.
- [B1] Use T = λx/l twice
- [B1]
- [M1] Attempt to solve the simultaneous equations
- [A1]
- [A1]
- [B1] FT Use T = λx/L ft candidates λ and a
- [M1] Use Newton's Second Law horizontally
- [A1]
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