每日英语口语*1694469822*
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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........................................................................................................................................................©UCLES20179709/52/F/M/17[Turn over