CAIE M1 2022 March — Question 3

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2022
SessionMarch
TopicMotion on a slope

3 A car of mass \(m \mathrm {~kg}\) is towing a trailer of mass 300 kg down a straight hill inclined at \(3 ^ { \circ }\) to the horizontal at a constant speed. There are resistance forces on the car and on the trailer, and the total work done against the resistance forces in a distance of 50 m is 40000 J . The engine of the car is doing no work and the tow-bar is light and rigid.
  1. Find the value of \(m\).
    The resistance force on the trailer is 200 N .
  2. Find the tension in the tow-bar between the car and the trailer.