A cyclist pedals along a slope which is at 5.0° to the horizontal. The cyclist starts from rest at the top of the slope and reaches a speed of 12 m/s after a time of 67 s, having travelled 40 m down the slope. The total mass of the cyclist and bicycle is 90 kg. 5.0⁰ 40 m Calculate: i) the loss in gravitational potential energy as they travel down the slope

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A cyclist pedals along a slope which is at 5.0° to the horizontal. The cyclist starts from rest at the top
of the slope and reaches a speed of 12 m/s after a time of 67 s, having travelled 40 m down the
slope. The total mass of the cyclist and bicycle is 90 kg.
5.0⁰
40 m
Calculate:
i) the loss in gravitational potential energy as they travel down the slope
ii) the increase in kinetic energy as they travels down the slope.
iii)Use your answers to i) and ii) to determine the useful power output of the cyclist.
iv) Suggest one reason why the actual power output of the cyclist is larger than your value in iii).
Transcribed Image Text:A cyclist pedals along a slope which is at 5.0° to the horizontal. The cyclist starts from rest at the top of the slope and reaches a speed of 12 m/s after a time of 67 s, having travelled 40 m down the slope. The total mass of the cyclist and bicycle is 90 kg. 5.0⁰ 40 m Calculate: i) the loss in gravitational potential energy as they travel down the slope ii) the increase in kinetic energy as they travels down the slope. iii)Use your answers to i) and ii) to determine the useful power output of the cyclist. iv) Suggest one reason why the actual power output of the cyclist is larger than your value in iii).
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