CAIE M1 2016 March — Question 2

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2016
SessionMarch
TopicWork, energy and Power 1

2 A constant resistance of magnitude 1350 N acts on a car of mass 1200 kg .
  1. The car is moving along a straight level road at a constant speed of \(32 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). Find, in kW , the rate at which the engine of the car is working.
  2. The car travels at a constant speed up a hill inclined at an angle of \(\theta\) to the horizontal, where \(\sin \theta = 0.1\), with the engine working at 76.5 kW . Find this speed.