Cyclist Work Against Gravity · PhysicsBowl 2024 #21

Physics · mechanics

Problem

Questions 20-22 are based on the following situation: A bicycle and its rider have a combined mass of 80.0 kg. The cyclist can coast down a 6.0° hill, and because of air resistance, they are limited to a constant speed of 6.0 kmhr\frac{km}{hr}. The vertical height of the hill is 120 m. How much work against gravity must the cyclist do to climb this hill? a. 800 J b. 1200 J c. 9600 J d. 12,000 J e. 96,000 J

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