Mathematics 9709/42 — May/June 2022

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

questions

marks

minutes

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

Q1MomentumEnergy, Work and PowerFree sample

Small smooth spheres $A$ and $B$ , of equal radii and of masses $5\text{ kg}$ and $3\text{ kg}$ respectively, lie on a smooth horizontal plane. Initially $B$ is at rest and $A$ is moving towards $B$ with speed $8.5\text{ m s}^{-1}$ . The spheres collide and after the collision $A$ continues to move in the same direction but with a quarter of the speed of $B$ .

(a)

Find the speed of $B$ after the collision.

(b)

Find the loss of kinetic energy of the system due to the collision.

The rest of this paper

6 more questions

Q2Forces and Equilibrium6M
Q3Newton's Laws of Motion · Kinematics of Motion in a Straight Line · Energy, Work and Power7M
Q4Kinematics of Motion in a Straight Line9M
Q5Forces and Equilibrium6M
Q6Energy, Work and Power · Newton's Laws of Motion8M
Q7Kinematics of Motion in a Straight Line9M

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