M2 June 2005.doc

Paper Reference(s) 6678/01 Edexcel GCE Mechanics M2 Advanced/Advanced Subsidiary Friday 24 June 2005 ( Morning Time: 1 hour 30 minutes Materials required for examination Items included with question papersMathematical Formulae (Lilac or Green) Nil Candidates may use any calculator EXCEPT those with the facility for symbolic algebra, differentiation and/or integration. Thus candidates may NOT use calculators such as the Texas Instruments TI 89, TI 92, Casio CFX 9970G, Hewlett Packard HP?48G. 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. This paper has 7 questions. 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 gain no credit. 1. A car of mass 1200 kg moves along a straight horizontal road. The resistance to motion of the car from non-gravitational forces is of constant magnitude 600?N. The car moves with constant speed and the engine of the car is working at a rate of 21 kW. (a) Find the speed of the car. (3) The car moves up a hill inclined at an angle ( to the horizontal, where sin ( = . The car’s engine continues to work at 21?kW and the resistance to motion from non-gravitational forces remains of magnitude 600 N. (b) Find the constant speed at which the car can move up the hill. (4) 2.