- A motorcyclist and his motorcycle have a combined mass of 480 kg .
The motorcyclist drives down a straight road that is inclined at an angle \(\theta\) to the horizontal, where \(\sin \theta = \frac { 1 } { 12 }\), with the engine of the motorcycle working at 3.5 kW . The motorcycle is moving at a constant speed of \(V \mathrm {~m} \mathrm {~s} ^ { - 1 }\). The resistance to the motion of the motorcycle is modelled as a constant force with magnitude 20 V newtons.
Find the value of \(V\).
(5)