Mathematics (AS & A Level) · Feb / March 2019 · Paper 42 · Question 7

h m ! P Q R 8 m The diagram shows the vertical cross-section PQR of a slide. The part PQ is a straight line of length 8 m inclined at angle ! to the horizontal, where sin ! = 0.8. The straight part PQ is tangential to the curved part QR, and R is h m above the level of P. The straight part PQ of the slide is rough and the curved part QR is smooth. A particle of mass 0.25 kg is projected with speed 15 m s−1 from P towards Q and comes to rest at R. The coefficient of friction between the particle and PQ is 0.5.

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