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Mathematics (AS & A Level) · Feb / March 2023 · Paper 42 · Question 7

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As printed in the paper

The question as text

A O B C E F 1.8 m 7.0 m 1Å The diagram shows a smooth track which lies in a vertical plane. The section AB is a quarter circle of radius 1.8m with centre O. The section BC is a horizontal straight line of length 7.0m and OB is perpendicular to BC. The section CFE is a straight line inclined at an angle of 1Å above the horizontal. A particle P of mass 0.5kg is released from rest at A. Particle P collides with a particle Q of mass 0.1kg which is at rest at B. Immediately after the collision, the speed of P is 4ms−1 in the direction BC. You should assume that P is moving horizontally when it collides with Q.

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  • 7(a)[4]

  • 7(b)[4]

  • 7(c)[5]

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