AQA M1 2006 June — Question 4

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2006
SessionJune
TopicMotion on a slope

4 A block is being pulled up a rough plane inclined at an angle of \(22 ^ { \circ }\) to the horizontal by a rope parallel to the plane, as shown in the diagram. The mass of the block is 0.7 kg , and the tension in the rope is \(T\) newtons.
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  1. Draw a diagram to show the forces acting on the block.
  2. Show that the normal reaction force between the block and the plane has magnitude 6.36 newtons, correct to three significant figures.
  3. The coefficient of friction between the block and the plane is 0.25 . Find the magnitude of the frictional force acting on the block during its motion.
  4. The tension in the rope is 5.6 newtons. Find the acceleration of the block.