A-LevelMathematicsMechanics9709/52 · May/June 2017 · Q58 Marks
A particle of mass 0.3 kg is attached to one end of a light elastic string of natural length 0.8 m and modulus of elasticity 6 N. The other end of the string is attached to a fixed point O. The particle is projected vertically downwards from O with initial speed 2 m s¯¹.
- (i)Calculate the greatest speed of the particle during its descent.[5]
- (ii)Find the greatest distance of the particle below O.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.
- [M1] Uses T = λx / L
- [A1] e = 0.4 m
- [B1 FT] FT for their e EE = 6 × 0.4²/(2 × 0.8)
- [M1] Sets up a 4 term energy equation involving EE, KE and PE
- [A1] v = 4.9(0) ms¯¹ or 2√6
- [M1] Sets up a 3 term energy equation involving EE, KE and PE
- [A1]
- [A1] L = 2.18 m Ignore answers less than 0.8
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →