Bicycle Problem Homework: Find Power for 85kg Man on 5.2° Incline

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To determine the power required for an 85kg man to bicycle 850m up a 5.2° incline at a constant speed of 15.6 m/s, the total force acting against him includes gravitational force and friction. The gravitational force can be calculated using the incline angle, while the friction force is given as 175N. Although the mass of the bicycle is not specified, it can be represented as a variable for calculation purposes. The net force can be derived from the equation Fnet = ma, and work done can be calculated using W = delta E. Ultimately, the power can be found by multiplying the total force by the speed.
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Homework Statement


What power must a man of mass 85kg have to bicycle 850m up a hill, inclined at 5.2 degrees to the horizontal, at a constant speed of 15.6 m/s? The force of friction on the man and the bicycle is 175N parallel to the incline.


Homework Equations


Fnet=ma
W=delta E

The Attempt at a Solution


I do not know where to start because i do not know the mass of the bicycle.
 
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I think you can neglect the mass of the bicycle. To be on the safe side though, just pick a variable to represent the mass of the bicycle and proceed.
 

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