A cyclist rides up a local mountain at an average speed of, Civil Engineering

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A cyclist rides up a local mountain at an average speed of

A cyclist rides up a local mountain at an average speed of 11 mph. The road has an average grade of 5.5%. The cyclist and her bike have a combined mass of 75 kg. The force from road drag is 2.5 N and the aerodynamic drag (in Newtons) is equal to 0.2v2 N where the units on 0.2 are N s2/m2 and where v is in m/s. Neglecting drive train losses what is the average power output of the cyclist?

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