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2017年英国高考A-LEVEL(CIE考试局)数学MathematicsFeb_March 20179709_m17_qp_52

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Cambridge International Examinations

Cambridge International Advanced Level

CANDIDATE

NAME

CENTRE

NUMBER

CANDIDATE

NUMBER

MATHEMATICS9709/52 Paper5Mechanics2(M2)February/March2017

1hour15minutes Candidates answer on the Question Paper.

Additional Materials:List of Formulae(MF9)

This document consists of13printed pages and3blank

pages.

JC1703_9709_52/RP

©UCLES2017[Turn over

1A small ball is projected with speed15m s−1at an angle of60 above the horizontal.Find the distance from the point of projection of the ball at the instant when it is travelling horizontally.[5] ................................................................................................................................................................

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2A cylindrical container is open at the top.The curved surface and the circular ba of the container are both made from the same thin uniform material.The container has radius0.2m and height0.9m.

(i)Show that the centre of mass of the container is0.405m from the ba.[3]

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The container is placed with its ba on a rough inclined plane.The container is in equilibrium on the point of slipping down the plane and also on the point of toppling.

(ii)Find the coeﬃcient of friction between the container and the plane.[3] ........................................................................................................................................................

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3A particle P is projected with speed20m s−1at an angle of60 below the horizontal,from a point O which is30m above horizontal ground.

(i)Calculate the time taken by P to reach the ground.[3]

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(ii)Calculate the speed and direction of motion of P immediately before it reaches the ground.[4] ........................................................................................................................................................

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