Mathematics > QUESTION PAPER (QP) > OCR A Level Further Mathematics B (MEI) Y421-01 Mechanics Major Wednesday 15 June 2022 (All)

OCR A Level Further Mathematics B (MEI) Y421-01 Mechanics Major Wednesday 15 June 2022

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The forces are in equilibrium. (a) Draw a closed figure to represent the three forces. [1] (b) Hence, or otherwise, find the following. (i) The value of i. [2] (ii) The value of P. [2] 3 © OC... R 2022 Y421/01 Jun22 Turn over 2 i d h v h A O B A particle is projected with speed v from a point O on horizontal ground. The angle of projection is i above the horizontal. The particle passes, in succession, through two points A and B, each at a height h above the ground and a distance d apart, as shown in the diagram. You are given that sin cos d g v g 2 2 8hv 2 2 2 i i = - b a . Use dimensional analysis to find a and b. [4] 3 A particle, of mass 2kg, is placed at a point A on a rough horizontal surface. There is a straight vertical wall on the surface and the point on the wall nearest to A is B. The distance AB is 5m. The particle is projected with speed 4.2ms−1 along the surface from A towards B. The particle hits the wall directly and rebounds. The coefficient of friction between the particle and the surface is 0.1. (a) Determine the speed of the particle immediately before impact with the wall. [4] The magnitude of the impulse that the wall exerts on the particle is 9.8N [Show More]

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