Mathematics 9709/43 — May/June 2022

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

questions

marks

minutes

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

Q1MomentumFree sample

Two particles $P$ and $Q$ , of masses $0.3\text{ kg}$ and $0.2\text{ kg}$ respectively, are at rest on a smooth horizontal plane. $P$ is projected at a speed of $4\text{ m s}^{-1}$ directly towards $Q$ . After $P$ and $Q$ collide, $Q$ begins to move with a speed of $3\text{ m s}^{-1}$ .

(a)

Find the speed of $P$ after the collision.

(b)

After the collision, $Q$ moves directly towards a third particle $R$ , of mass $m\text{ kg}$ , which is at rest on the plane. The two particles $Q$ and $R$ coalesce on impact and move with a speed of $2\text{ m s}^{-1}$ .

Find $m$ .

The rest of this paper

6 more questions

Q2Kinematics of Motion in a Straight Line5M
Q3Kinematics of Motion in a Straight Line5M
Q4Forces and Equilibrium8M
Q5Newton's Laws of Motion · Energy, Work and Power8M
Q6Newton's Laws of Motion · Forces and Equilibrium10M
Q7Kinematics of Motion in a Straight Line10M

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