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Question

A bicyclist is coasting straight down a hill at a constant speed. The mass of the rider and bicycle is 80.0 kg, and the hill is inclined at 13.0° with respect to the horizontal. Air resistance opposes the motion of the cyclist. Later, the bicyclist climbs the same hill at the same constant speed. How much force (directed parallel to the hill) must be applied to the bicycle in order for the bicyclist to climb the hill?

Answer 1

F= mg sin(13) + F(air resistance) + F(mechanical resistance)

Please note that
Force of air resistance is a function of bicyclist speed.
Mechanical force can be assumed to be constant.