9709/42

Mathematics 9709/42October/November 2016

Cambridge AS Level · Mechanics · worked solutions for every part, with the mark scheme

7
questions
50
marks
75
minutes

Topics Forces and Equilibrium · Kinematics of Motion in a Straight Line · Newton's Laws of Motion · Energy, Work and Power

Q1Newton's Laws of MotionKinematics of Motion in a Straight LineForces and EquilibriumFree sample

A particle of mass 2 kg2\text{ kg} is initially at rest on a rough horizontal plane. A force of magnitude 10 N10\text{ N} is applied to the particle at 1515^{\circ} above the horizontal. It is given that 10 s10\text{ s} after the force is applied, the particle has a speed of 3.5 m s13.5\text{ m s}^{-1}.

(i)

Show that the magnitude of the frictional force is 8.96 N8.96\text{ N}, correct to 3 significant figures.

3M
(ii)

Find the coefficient of friction between the particle and the plane.

3M

The rest of this paper

6 more questions
  • Q2Kinematics of Motion in a Straight Line6M
  • Q3Forces and Equilibrium6M
  • Q4Energy, Work and Power6M
  • Q5Forces and Equilibrium6M
  • Q6Energy, Work and Power · Forces and Equilibrium · Newton's Laws of Motion8M
  • Q7Kinematics of Motion in a Straight Line12M
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