CAIE M1 2024 November — Question 3

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2024
SessionNovember
TopicWork, energy and Power 1

3 A car of mass 1600 kg travels up a slope inclined at an angle of \(\sin ^ { - 1 } 0.08\) to the horizontal. There is a constant resistance of magnitude 240 N acting on the car.
  1. It is given that the car travels at a constant speed of \(32 \mathrm {~ms} ^ { - 1 }\). Find the power of the engine of the car.
  2. Find the acceleration of the car when its speed is \(24 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and the engine is working at 95\% of the power found in (a).