CAIE M1 2020 June — Question 5

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2020
SessionJune
TopicWork, energy and Power 1

5 A block \(B\) of mass 4 kg is pushed up a line of greatest slope of a smooth plane inclined at \(30 ^ { \circ }\) to the horizontal by a force applied to \(B\), acting in the direction of motion of \(B\). The block passes through points \(P\) and \(Q\) with speeds \(12 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and \(8 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) respectively. \(P\) and \(Q\) are 10 m apart with \(P\) below the level of \(Q\).
  1. Find the decrease in kinetic energy of the block as it moves from \(P\) to \(Q\).
  2. Hence find the work done by the force pushing the block up the slope as the block moves from \(P\) to \(Q\).
  3. At the instant the block reaches \(Q\), the force pushing the block up the slope is removed. Find the time taken, after this instant, for the block to return to \(P\).