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Pearson Edexcel Level 3 GCE [Further Mathematics Advanced Subsidiary Further Mathematics options 25: Further Mechanics 1 (Part of options C, E, H and J)]

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1. A car of mass 1200 kg moves up a straight road that is inclined to the horizontal at an angle α, where sinα = 1 15 The total resistance to the motion of the car from non-gravitational force ... s is modelled as a constant force of magnitude R newtons. At the instant when the engine of the car is working at a rate of 32kW and the speed of the car is 20ms–1 , the acceleration of the car is 0.5ms–2 Find the value of R (5) _____________________________________________________________________________________ _____________________________________________________________________________________ ________________________________2. Two particles, A and B, have masses m and 3m respectively. The particles are moving in opposite directions along the same straight line on a smooth horizontal plane when they collide directly. Immediately before they collide, A is moving with speed 2u and B is moving with speed u. The direction of motion of each particle is reversed by the collision. In the collision, the magnitude of the impulse exerted on A by B is 9 2 mu (a) Find the value of the coefficient of restitution between A and B. (7) (b) Hence, write down the total loss in kinetic energy due to the collision, giving a reason for your answer. (1) _____________________________________________________________________________________ _____________________________________________________________________________________ ___________________________________ [Show More]

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