Answer to Question #299243 in Classical Mechanics for Mafydre

Question

A cyclist of mass 2kg is riding his 13kg bicycle up a 1 in 10 incline. What power does he need to develop in order to maintain a constant speed of 24kph

Answer 1

Given:

$m=\rm 2\: kg+13\: kg=15\: kg$

$\sin\theta=1/10$

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

The net force

$$F=mg\sin\theta=15*9.8*1/10=14.7\:\rm N$$

The total work done

$$W=Fd=Fvt$$

The required power

$$P=\frac{W}{t}=Fv=14.7*6.67=98.0\:\rm W$$