CAIE M1 2016 June — Question 6

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

6 A car of mass 1100 kg is moving on a road against a constant force of 1550 N resisting the motion.
  1. The car moves along a straight horizontal road at a constant speed of \(40 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
    (a) Calculate, in kW , the power developed by the engine of the car.
    (b) Given that this power is suddenly decreased by 22 kW , find the instantaneous deceleration of the car.
  2. The car now travels at constant speed up a straight road inclined at \(8 ^ { \circ }\) to the horizontal, with the engine working at 80 kW . Assuming the resistance force remains the same, find this constant speed.