CAIE M1 2003 June — Question 6

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2003
SessionJune
TopicFriction

6 A small block of mass 0.15 kg moves on a horizontal surface. The coefficient of friction between the block and the surface is 0.025 .
  1. Find the frictional force acting on the block.
  2. Show that the deceleration of the block is \(0.25 \mathrm {~m} \mathrm {~s} ^ { - 2 }\). The block is struck from a point \(A\) on the surface and, 4 s later, it hits a boundary board at a point \(B\). The initial speed of the block is \(5.5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
  3. Find the distance \(A B\). The block rebounds from the board with a speed of \(3.5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and moves along the line \(B A\). Find
  4. the speed with which the block passes through \(A\),
  5. the total distance moved by the block, from the instant when it was struck at \(A\) until the instant when it comes to rest.