A-LevelMathematicsMechanics9709/52 · May/June 2017 · Q15 Marks
A particle P of mass 0.2 kg moves with speed 4 m s¯¹ and angular speed 5 rad s¯¹ in a horizontal circle on a smooth surface. P is attached to one end of a light elastic string of natural length 0.6 m. The other end of the string is attached to the point on the surface which is the centre of the circular motion of P.
- (i)Find the radius of this circle.[1]
- (ii)Find the modulus of elasticity of the string.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.
- [B1] Uses v=rw
- [M1] Uses Newton's Second Law horizontally
- [A1 FT] FT with their radius from part (i)
- [M1] Uses T = λx / L
- [A1] λ = 12
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