Mathematics > QUESTION PAPER (QP) > OCR A Level Further Mathematics A Y543-01 Mechanics June 2022 QUESTION PAPER (All)

OCR A Level Further Mathematics A Y543-01 Mechanics June 2022 QUESTION PAPER

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1 A car has mass 1200kg. The total resistance to the car’s motion is constant and equal to 250N. (a) The car is driven along a straight horizontal road with its engine working at 10kW. Find the a ... cceleration of the car at the instant that its speed is 5 s m -1 . [3] The maximum power that the car’s engine can generate is 20kW. (b) Find the greatest constant speed at which the car can be driven along a straight horizontal road. [2] The car is driven up a straight road which is inclined at an angle i above the horizontal where sin 0 i = .05. (c) Find the greatest constant speed at which the car can be driven up this road. [2] 2 The coordinates of two points, A and B, are (-1, 6) and (5, 12) respectively, where the units of the coordinate axes are metres. A particle P moves from A to B under the action of several forces. The force F i = - 7 2j N is one of the forces acting on P. (a) Calculate the work done by F on P as P moves from A to B. [2] At the instant when P reaches B its velocity is i j 5 s m 1 - - - . (b) Find the power generated by F at the instant that P reaches B. [2] One end of a light elastic string was attached to the origin of the coordinate system and the other to P when P was at A, before it moved to B. The natural length of the string is 8m and its modulus of elasticity is 24N. (c) At the instant that P reaches B, find the following. • The tension in the string • The elastic potential energy stored in the string [Show More]

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