AS FURTHER MATHEMATICS

AS FURTHER MATHEMATICS Paper 2 Mechanics Friday 17 May 2024 Afternoon Time allowed: 1 hour 30 minutes Materials  You must have the AQA Formulae and statistical tables booklet for A‑level Mathematics and A‑level Further Mathematics.  You should have a graphical or scientific calculator that meets the requirements of the specification.  You must ensure you have the other optional Question Paper/Answer Book for which you are entered (either Discrete or Statistics). You will have 1 hour 30 minutes to complete both papers. Instructions  Use black ink or black ball‑point pen. Pencil should only be used for drawing.  Fill in the boxes at the top of this page.  Answer all questions.  You must answer each question in the space provided for that question. If you require extra space for your answer(s), use the lined pages at the end of this book. Write the question number against your answer(s).  Do not write outside the box around each page or on blank pages.  Show all necessary working; otherwise marks for method may be lost.  Do all rough work in this book. Cross through any work that you do not want to be marked. Information  The marks for questions are shown in brackets.  The maximum mark for this paper is 40. Advice  Unless stated otherwise, you may quote formulae, without proof, from the booklet.  You do not necessarily need to use all the space provided. (JUN2473662M01) G/LM/Jun24/G4001/V5 7366/2M Answer all questions in the spaces provided. 1 An elastic string has modulus of elasticity 20 newtons and natural length 2 metres. The string is stretched so that its extension is 0.5 metres. Find the elastic potential energy stored in the string. box Circle your answer. [1 mark] 1.25 J 5.5 J 5 J 10 J 2 State the dimensions of impulse. Circle your answer. MLT –2 MLT –1 MLT MLT 2 [1 mark] 3 A cyclist travels around a circular track of radius 20 m at a constant speed of 8 m s–1 Find the angular speed of the cyclist in radians per second. box Circle your answer. 0.2 rad s–1 0.4 rad s–1 2.5 rad s–1 3.2 rad s–1 Turn over for the next question [1 mark] Turn over U 4 In this question use g = 9.8 m s– 2 A ball of mass 0.5 kg is projected vertically upwards with a speed of 10 m s–1 4 (a) Calculate the initial kinetic energy of the ball. [1 mark] box 4 (b) Assuming that the weight is the only force acting on the ball, use an energy method to show that the maximum height reached by the ball is approximately 5.1 m above the point of projection. [2 marks] 4 (c) (i) A student conducts an experiment to verify the accuracy of the result obtained in part (b). They observe that the ball rises to a height of 4.4 m above the point of projection and concludes that this height difference is due to a resistance force, R newtons. box Find the total work done against R whilst the ball is moving upwards. [2 marks] 4 (c) (ii) Using a model that assumes R is constant, find the magnitude of R [2 marks] 4 (c) (iii) Comment on the validity of the model used in part (c)(ii). [1 mark] Turn over U 5 Kang is riding a motorbike along a straight, horizontal