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 hrkm. The vertical height of the hill is 120 m.
If each complete revolution of the pedals moves the bike 4.9 m along its path uphill, calculate the average force that must be exerted on the pedals, tangent to their circular path. Neglect work done by friction and other losses. The pedals turn in a circle of diameter 34 cm.
a. 383 N b. 410 N c. 234 N d. 518 N e. 449 N