A-level FURTHER MATHEMATICS Paper 3 Mechanics

erials l You must have the AQA Formulae and statistical tables booklet for A‑level Mathematics and A‑level Further Mathematics. l You should have a scientific calculator that meets the requirements of the specification. (You may use a graphical calculator.) l 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 l Use black ink or black ball‑point pen. Pencil should only be used for drawing. l Fill in the boxes at the top of this page. l Answer all questions. l 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). l Do not write outside the box around each page or on blank pages. l Show all necessary working; otherwise marks for method may be lost. l Do all rough work in this book. Cross through any work you do not want to be marked. Information l The marks for questions are shown in brackets. l The maximum mark for this paper is 50. Advice l Unless stated otherwise, you may quote formulae, without proof, from the booklet. l You do not necessarily need to use all the space provided. Please write clearly in block capitals. Centre number Candidate number Surname ________________________________________________________________________ Forename(s) ________________________________________________________________________ Candidate signature ________________________________________________________________________ For Examiner’s Use Question Mark 1 2 3 4 5 6 7 8 9 TOTAL I declare this is my own work. 2 Answer all questions in the spaces provided. 1 A spring of natural length 50 cm and modulus of elasticity l newtons has an elastic potential energy of 4 J when compressed by 5 cm. Find the value of l Circle your answer. [1 mark] Jun21/7367/3M Do not write outside the box (02) 3 2 A force of magnitude 7 N acts at each end of a rod of length 20 cm, forming a couple. The forces act at right angles to the rod, as shown in the diagram below. 7 N 20 cm 7 N Find the magnitude of the resultant moment of the couple. Circle your answer. [1 mark] 1.4 N m 2.8 N m 140 N m 280 N m Turn over for the next question Do not write outside the box Jun21/7367/3M Turn over s (03) 4 3 A ball has mass 0.4 kg and is hit by a wooden bat. The speed of the ball just before it is hit by the bat is 6 m s1 The velocity of the ball immediately after being hit by the bat is perpendicular to its initial velocity. The speed of the ball just after it is hit by the bat is 8 m s1 Show that the impulse on the ball has magnitude 4 N s