CAIE M1 2015 June — Question 6

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2015
SessionJune
TopicMotion on a slope

6 A small box of mass 5 kg is pulled at a constant speed of \(2.5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) down a line of greatest slope of a rough plane inclined at \(10 ^ { \circ }\) to the horizontal. The pulling force has magnitude 20 N and acts downwards parallel to a line of greatest slope of the plane.
  1. Find the coefficient of friction between the box and the plane. The pulling force is removed while the box is moving at \(2.5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
  2. Find the distance moved by the box after the instant at which the pulling force is removed.
    [0pt] [Question 7 is printed on the next page.]