M2 June 2007 Q1

1. A cyclist and his bicycle have a combined mass of 90 kg. He rides on a straight road up a hill inclined at an angle \(\alpha\) to the horizontal, where \(\sin\alpha = \dfrac{1}{21}\). He works at a constant rate of 444 W and cycles up the hill at a constant speed of 6 m s\(^{-1}\).

Find the magnitude of the resistance to motion from non-gravitational forces as he cycles up the hill. (4)