Answer to Question #299032 in Physics for Jobboe

Question

A cyclist of mass 82kg is riding his 13kg bicycle up a 1 in 10 incline. What does he need to develop in order to maintain a constant speed of 24kph?

Answer 1

Given:

$m=\rm 82\: kg+13\: kg=95\: kg$

$\sin\theta=1/10$

$v=24\:\rm km/hr=6.67\: m/s$

The net force

$$F=mg\sin\theta=95*9.8*1/10=93.1\:\rm N$$

The total work done

$$W=Fd=Fvt$$

The required power

$$P=\frac{W}{t}=Fv=93.1*6.67=621\:\rm W$$