CAIE M1 2021 March — Question 2

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2021
SessionMarch
TopicWork, energy and Power 1

2 A car of mass 1400 kg is travelling at constant speed up a straight hill inclined at \(\alpha\) to the horizontal, where \(\sin \alpha = 0.1\). There is a constant resistance force of magnitude 600 N . The power of the car's engine is 22500 W .
  1. Show that the speed of the car is \(11.25 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
    The car, moving with speed \(11.25 \mathrm {~m} \mathrm {~s} ^ { - 1 }\), comes to a section of the hill which is inclined at \(2 ^ { \circ }\) to the horizontal.
  2. Given that the power and resistance force do not change, find the initial acceleration of the car up this section of the hill.