5. A straight road is inclined at an angle \(\alpha\) to the horizontal, where \(\sin \alpha = \frac { 1 } { 20 }\). A lorry of mass 4800 kg moves up the road at a constant speed of \(12 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). The non-gravitational resistance to the motion of the lorry is constant and has magnitude 2000 N .
- Find, in kW to 3 significant figures, the rate of working of the lorry's engine.
(5)
The road becomes horizontal. The lorry's engine continues to work at the same rate and the resistance to motion remains the same.
Find - the acceleration of the lorry immediately after the road becomes horizontal,
(3) - the maximum speed, in \(\mathrm { m } \mathrm { s } ^ { - 1 }\) to 3 significant figures, at which the lorry will go along the horizontal road.
(3)