Mathematics 9709/41 — May/June 2023

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

questions

marks

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

Q1MomentumFree sample

Two particles $P$ and $Q$ , of masses $m\text{ kg}$ and $0.3\text{ kg}$ respectively, are at rest on a smooth horizontal plane. $P$ is projected at a speed of $5\text{ m s}^{-1}$ directly towards $Q$ . After $P$ and $Q$ collide, $P$ moves with a speed of $2\text{ m s}^{-1}$ in the same direction as it was originally moving.

(a)

Find, in terms of $m$ , the speed of $Q$ after the collision.

(b)

After this collision, $Q$ moves directly towards a third particle $R$ , of mass $0.6\text{ kg}$ , which is at rest on the plane. $Q$ is brought to rest in the collision with $R$ , and $R$ begins to move with a speed of $1.5\text{ m s}^{-1}$ .

Find the value of $m$ .

The rest of this paper

6 more questions

Q2Kinematics of Motion in a Straight Line · Energy, Work and Power6M
Q3Kinematics of Motion in a Straight Line4M
Q4Kinematics of Motion in a Straight Line8M
Q5Forces and Equilibrium9M
Q6Newton's Laws of Motion · Forces and Equilibrium8M
Q7Energy, Work and Power · Newton's Laws of Motion · Forces and Equilibrium11M

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