. (III) A cyclist intends to cycle up a 7.50° hill whose verticalheight is 125 m. The pedals turn in a circle of diameter36.0 cm. Assuming the mass of bicycle plus person is75.0 kg, (a) calculate how much work must be done againstgravity. (b) If each complete revolution of the pedalsmoves the bike 5.10 m along its path, calculate the averageforce that must be exerted on the pedals tangent to theircircular path. Neglect work done by friction and otherlosses.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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. (III) A cyclist intends to cycle up a 7.50° hill whose vertical
height is 125 m. The pedals turn in a circle of diameter
36.0 cm. Assuming the mass of bicycle plus person is
75.0 kg, (a) calculate how much work must be done against
gravity. (b) If each complete revolution of the pedals
moves the bike 5.10 m along its path, calculate the average
force that must be exerted on the pedals tangent to their
circular path. Neglect work done by friction and other
losses.

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