Mathematics 9709/42 — October/November 2016

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

questions

marks

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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 $2\text{ kg}$ is initially at rest on a rough horizontal plane. A force of magnitude $10\text{ N}$ is applied to the particle at $15^{\circ}$ above the horizontal. It is given that $10\text{ s}$ after the force is applied, the particle has a speed of $3.5\text{ m s}^{-1}$ .

(i)

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

(ii)

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

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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