A-LevelMathematicsMechanics9709/43 · May/June 2021 · Q25 Marks
A cyclist is travelling along a straight horizontal road. She is working at a constant rate of 150 W. At an instant when her speed is 4 m s⁻¹, her acceleration is 0.25 m s⁻². The resistance to motion is 20 N.
- (a)Find the total mass of the cyclist and her bicycle.[3]
- (b)The cyclist comes to a straight hill inclined at an angle θ above the horizontal. She ascends the hill at constant speed 3 m s⁻¹. She continues to work at the same rate as before and the resistance force is unchanged. Find the value of θ.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.
- [B1] OE. P = Fv used correctly.
- [M1] Use of Newton's second law
- [A1]
- [M1] For resolving up the plane
- [A1 FT] From 2.456... FT θ = sin⁻¹ ( (a) )
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