AQA AS FURTHER MATHEMATICS 7366/2M Paper 2 Mechanics Question Paper + Mark scheme (Merged) GRADE A+

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AQA AS FURTHER MATHEMATICS 7366/2M Paper 2 Mechanics Question Paper + Mark scheme (Merged) June 2021 Version: 1.1 Final 7366/2M PB/Jun21/E4 (JUN2173662M01) AS FURTHER MATHEMATICS Paper 2 Mec... hanics Time allowed: 1 hour 30 minutes Materials 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 1 hour 30 minutes 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 40. 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 TOTAL I declare this is my own work. 2 Answer all questions inthespacesprovided. 1 A lightspringofnaturallength0.6metresiscompressedtoalengthof0.4metresby a forceof20newtons. The stiffnessofthespringis kNm1 Find k Circle youranswer. [1 mark] 20 50100200 2 State thedimensionsofforce. Circle youranswer. [1 mark] MLT ML2T MLT 1 MLT 2 Jun21/7366/2M Do notwrite outside the box (02) 3 3 Use g as 9.8ms2 in thisquestion. A pumpisusedtopumpwateroutofapool. The pumpraisesthewaterthroughaverticaldistanceof5metresandthenejectsit through apipe. The pumpworksataconstantrateof400W Over aperiodof50seconds,300litresofwaterarepumpedoutofthepoolandthe water isejectedwithspeed vms1 The massof1litreofwateris1kg 3 (a) Find thegaininthepotentialenergyofthe300litresofwater. [1 mark] _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 3 (b) Calculate v [4 marks] _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ Do notwrite outside the box Jun21/7366/2M Turn over s (03) 4 4 A cyclistinaroadraceistravellingaroundabendonahorizontalcircularpathof radius 15metresandispreventedfromskiddingbyafrictionalforce. The frictionalforcehasamaximumvalueof500newtons. The totalmassofthecyclistandhiscycleis75kg Assume thatthecyclisttravelsataconstantspeed. 4 (a) Work outthegreatestspeed,inkmh1, atwhichthecyclistcantravelaround the bend. [4 marks] [Show More]

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