CAIE M1 2017 November — Question 2

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2017
SessionNovember
TopicWork, energy and Power 1

2 A tractor of mass 3700 kg is travelling along a straight horizontal road at a constant speed of \(12 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). The total resistance to motion is 1150 N .
  1. Find the power output of the tractor's engine.
    The tractor comes to a hill inclined at \(4 ^ { \circ }\) above the horizontal. The power output is increased to 25 kW and the resistance to motion is unchanged.
  2. Find the deceleration of the tractor at the instant it begins to climb the hill.
  3. Find the constant speed that the tractor could maintain on the hill when working at this power.