Mathematics 9709/42 — October/November 2017

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

questions

marks

minutes

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

Q1Forces and EquilibriumNewton's Laws of MotionFree sample

A particle of mass $0.2\text{ kg}$ is resting in equilibrium on a rough plane inclined at $20^{\circ}$ to the horizontal.

(i)

Show that the friction force acting on the particle is $0.684\text{ N}$ , correct to 3 significant figures.

(ii)

The coefficient of friction between the particle and the plane is $0.6$ . A force of magnitude $0.9\text{ N}$ is applied to the particle down a line of greatest slope of the plane. The particle accelerates down the plane.

Find this acceleration.

The rest of this paper

6 more questions

Q2Forces and Equilibrium6M
Q3Kinematics of Motion in a Straight Line6M
Q4Kinematics of Motion in a Straight Line6M
Q5Forces and Equilibrium · Energy, Work and Power8M
Q6Forces and Equilibrium · Newton's Laws of Motion10M
Q7Kinematics of Motion in a Straight Line9M

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