2023 AQA A-level FURTHER MATHEMATICS 7367/3M Paper 3 Mechanics Question Paper & Mark scheme (Merged) June 2023 [VERIFIED]

2023 AQA A-level FURTHER MATHEMATICS 7367/3M Paper 3 Mechanics Question Paper & Mark scheme (Merged) June 2023 [VERIFIED] A-level FURTHER MATHEMATICS Paper 3 Mechanics Wednesday 14 June 2023 afternoon Time allowed: 2 hours 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 2 hours 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 50. For Examiner’s Use Question Mark 1 2 3 4 5 6 7 8 TOTAL Advice Unless stated otherwise, you may quote formulae, without proof, from the booklet. You do not necessarily need to use all the space provided. PB/KL/Jun23/E5 7367/3M 2 Answer all questions in the spaces provided. 1 State the dimensions of power. Circle your answer. [1 mark] ML 2 T 3 ML 3 T 3 ML 3 T 2 ML2 T 2 2 The force (3i þ 4j) N acts at the point with coordinates (0, 2) The unit vectors i and j are directed along the x-axis and the y-axis respectively. Calculate the magnitude of the moment of this force about the origin. Circle your answer. [1 mark] 6 N m 8 N m 10 N m 14 N m Do not write outside the box (02) Jun23/7367/3M 3 3 A uniform disc has mass 6 kg and diameter 8 cm A uniform rectangular lamina, ABCD, has mass 4 kg, width 8 cm and length 20 cm The disc is fixed to the lamina to form a composite body as shown in the diagram below. A B 8 cm D C 20 cm The sides AB, AD and CD are tangents to the disc. Calculate the distance of the centre of mass of the com