M2 Jan 2009.doc

Paper Reference(s) 6678 Edexcel GCE Mechanics M2 Advanced Level Thursday 29 January 2009 ( Morning Time: 1 hour 30 minutes Materials required for examination Items included with question papers Mathematical Formulae (Green) Nil Candidates may use any calculator allowed by the regulations of the Joint Council for Qualifications. Calculators must not have the facility for symbolic algebra manipulation, differentiation and integration, or have retrievable mathematical formulas stored in them. Instructions to Candidates In the boxes on the answer book, write the name of the examining body (Edexcel), your centre number, candidate number, the unit title (Mechanics M2), the paper reference (6678), your surname, other name and signature. Whenever a numerical value of g is required, take g = 9.8 m s(2. When a calculator is used, the answer should be given to an appropriate degree of accuracy. Information for Candidates A booklet ‘Mathematical Formulae and Statistical Tables’ is provided. Full marks may be obtained for answers to ALL questions. There are 7 questions in this question paper. The total mark for this paper is 75. Advice to Candidates You must ensure that your answers to parts of questions are clearly labelled. You must show sufficient working to make your methods clear to the Examiner. Answers without working may not gain full credit. 1. A car of mass 1500 kg is moving up a straight road, which is inclined at an angle θ to the horizontal, where sin θ = . The resistance to the motion of the car from non-gravitational forces is constant and is modelled as a single constant force of magnitude 650 N. The car’s engine is working at a rate of 30 kW. Find the acceleration of the car at the instant when its speed is 15 m s–1. (5) 2. Figure 1 Figure 1 shows a ladder AB, of mass 25 kg and length 4?m, resting in equilibrium with one end A on rough horizontal ground and the other end B against a smooth vertical wall.