Mathematics 9709/42 — October/November 2011

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 · Newton's Laws of Motion · Energy, Work and Power · Forces and Equilibrium

Q1Energy, Work and PowerNewton's Laws of MotionFree sample

A racing cyclist, whose mass with his cycle is $75\text{ kg}$ , works at a rate of $720\text{ W}$ while moving on a straight horizontal road. The resistance to the cyclist’s motion is constant and equal to $R\text{ N}$ .

(i)

Given that the cyclist is accelerating at $0.16\text{ m s}^{-2}$ at an instant when his speed is $12\text{ m s}^{-1}$ , find the value of $R$ .

(ii)

Given that the cyclist’s acceleration is positive, show that his speed is less than $15\text{ m s}^{-1}$ .

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6 more questions

Q2Forces and Equilibrium · Newton's Laws of Motion · Kinematics of Motion in a Straight Line5M
Q3Kinematics of Motion in a Straight Line6M
Q4Forces and Equilibrium5M
Q5Newton's Laws of Motion · Kinematics of Motion in a Straight Line8M
Q6Energy, Work and Power10M
Q7Kinematics of Motion in a Straight Line11M

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