Energy Question

Question

A 70-kg professional cyclist is climbing a mountain road at an average speed of 23.1 km/h. The road has an average slope of 3.4 degrees and is 11.3km long. If the cyclist’s power output averages at 350 W over the duration of the climb, how much energy E does he expend? The final answer will be in Joules.

Answer 1

Here,

the length of the ramp, l = 11.3 km

l = 11300 m (on conversion from km to m)

the average speed of cyclist , v = 23.1 km/h

v = 6.42 m/s

the time is taken, t = l /v

t = 11300 /6.42 m/s = 1760 s

the energy does he expand, E = P * t

E = 350 * 1760 J

E = 6.16 * 10^5 J

Therefore, the energy he expand is 6.16 * 10^5 J