A-LevelMathematicsMechanics9709/51 · May/June 2019 · Q58 Marks
A particle P of mass 0.4 kg is attached to one end of a light elastic string of natural length 0.5 m and modulus of elasticity 6 N. The other end of the string is attached to a fixed point O. The particle P is released from rest at the point (0.5 + x) m vertically below O. The particle P comes to instantaneous rest at O.
- (i)Find x.[3]
- (ii)Find the greatest speed of P.[5]
Mark scheme
Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.
- [M1] Set up an energy equation
- [M1] Attempt to solve a 3 term quadratic equation
- [A1] x = 1 (ignore -1/3 if seen)
- [M1] Use T = λx/l to find the extension at the equilibrium position
- [A1] e = 1/3
- [B1ft] Ft for candidate's e
- [M1] Set up a three term energy equation
- [A1] V= 3.65 ms⁻¹
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