Mathematics 9709/42 — February/March 2022

Cambridge A-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

Q1Energy, Work and PowerFree sample

A crane is used to raise a block of mass $600\text{ kg}$ vertically upwards at a constant speed through a height of $15\text{ m}$ . There is a resistance to the motion of the block, which the crane does $10\,000\text{ J}$ of work to overcome.

(a)

Find the total work done by the crane.

(b)

Given that the average power exerted by the crane is $12.5\text{ kW}$ , find the total time for which the block is in motion.

The rest of this paper

6 more questions

Q2Kinematics of Motion in a Straight Line5M
Q3Energy, Work and Power · Forces and Equilibrium · Newton's Laws of Motion5M
Q4Energy, Work and Power · Newton's Laws of Motion6M
Q5Forces and Equilibrium7M
Q6Kinematics of Motion in a Straight Line11M
Q7Forces and Equilibrium · Kinematics of Motion in a Straight Line · Newton's Laws of Motion · Momentum12M

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