Answer:
The total metabolic power of the cyclist is .
Further Explanation:
Given:
The mass of the cyclist is .
The height that the cyclist climbs is .
The acceleration due to gravity is .
Concept:
The metabolic power of the cyclist required to climb the Alpe d’Huez is the sum of the power required to climb and the power on the level ground.
The potential energy of the cyclist at the top is given by:
…… (1)
The amount of energy required to climb up is equal to the potential energy of the cyclist.
The power consumed by the cyclist in climbing up:
…… (2)
Substitute the value of the potential energy and the time taken.
Since the total metabolic power consumed in climbing up is the sum of the power on the level ground and the power consumed in climbing.
Therefore, the total metabolic power consumed in climbing is .
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Answer Details:
Grade: High School
Chapter: Energy and Power
Subject: Physics
Keywords:Tour de France, cyclist, 1100 m, 37.5 min, rider and his bike, potential energy, climbing up, metabolic power, level ground, 700 W.