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5 marksCoplanar Forces and Equilibrium

CAPE Applied Mathematics Unit 2 · 2016 · Paper 2 · Question 6(a)(i)

A body of mass 15 kg is pulled at a constant speed of 4 m s⁻¹ up a plane inclined at 30° to the horizontal by a force parallel to the plane. Coefficient of friction is 0.2. Take g = 10 m s⁻².

Calculate the tractive force acting parallel to the plane.

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Other parts of this question

  1. 6(a)(ii)Calculate the work done, to the nearest whole number, after one second to move the body.[3 marks]
  2. 6(a)(iii)Calculate the power developed during that one second.[1 mark]
  3. 6(b)If the particle is just about to slip, find the coefficient of friction between the particle and the surface.[6 marks]
  4. 6(c)(i)Calculate the speed of vehicle B immediately after the collision.[4 marks]
  5. 6(c)(ii)State the direction of motion of vehicle B after the collision.[1 mark]
  6. 6(c)(iii)Calculate the time taken for vehicle A to come to rest after the collision.[5 marks]

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