NYGH 2018-S3MYE-Adv Phys SectionD with ans

Class Register Number Name 南洋女子中学校 NANYANG GIRLS’ HIGH SCHOOL Mid-Year Examination 2018 Secondary Three ADVANCED PHYSICS Section D 2 hours Wednesday 9 May 2018 8:45 – 10:45 Calculators may be used READ THESE INSTRUCTIONS FIRST Do not open this booklet until you are told to do so. Write your name, register number and class in the spaces at the top of this page and on any separate answer paper used. Section D (20 marks) Answer all questions. Write your answers in the spaces provided on the question paper. INFORMATION FOR CANDIDATES Section D is to only be taken by students studying Advanced Physics. You are advised to spend no longer than 30 minutes on Section D. Given Formulae: v = r ω a = rv2 F = 221rmGm Examiner’s Use Section D 1 2 3 Total 20 % Setter: MS This document consists of 4 printed pages. NANYANG GIRLS’ HIGH SCHOOL [Turn over

2 Setter: MS Physics Section D (20 marks) 1 A car wheel of diameter 500 mm rotates at 6 complete revolutions per second. (a) Calculate the angular speed of the wheel. State your answer in radians per second. angular speed of wheel = ………………………… [2] (b) Calculate the linear speed of the car along the road. linear speed of car = ………………………… [2] (c) Calculate the centripetal acceleration of the edge of the wheel towards the centre of the wheel. centripetal acceleration = ………………………… [2] 500 mm

2018 Mid-Year Examination Secondary 3 Advanced Physics 3 Nanyang Girls’ High School Setter: MS Physics [Turn over 2 The Space Shuttle has a maximum orbital height of 620 km above sea level. You are given the following information: Mass of Earth = 6.0 x 1024 kg Radius of Earth (to sea level) = 6370 km Gravitational constant, G = 6.67 x 10-11 m3 kg-1 s-2 (a) Calculate the gravitational field strength at this maximum height. gravitational field strength = ………………………… [3] (b) The mass of an astronaut on the surface of the Earth is 80 kg. Calculate the gravitational force on the astronaut when he is aboard the Space Shuttle orbiting at a height of 620 km. gravitational force on astronaut = ………………………… [2] (c) Explain why the astronaut appear to be weightless when he is in the Space Shuttle orbiting the Earth. ………………………………………………………………………………… ………………………………………………………………………………… ……………………………………………………………………………… [1]

4 Setter: MS Physics 3 A ball is to be kicked so that, at the highest point of its path, it just clears a horizontal cross-bar on a pair of goal-posts. The ground is level and the top of the cross-bar is 2.50 m from the ground. The ball is kicked from ground level with an initial velocity of 12.0 m s-1. (a) Calculate the angle of projection of the ball as it is kicked and leaves the ground. angle of projection = …………………………… [3] (b) Determine the time the ball is in the air until it passes over the cross-bar. time = …………………………… [2] (c) Calculate the horizontal velocity of the ball as it passes over the cross-bar. horizontal velocity = ………………………… [2] (d) Calculate the horizontal distance of the point where the ball is kicked from the goal-post. distance from goal-post = …………………………….. [1]

2018 MYE ADVANCED PHYSICS ANSWERS (SECTION D) 1. (a) 𝜔=#$ =%×'( * = 37.7 rad s-1 (b) v = r ω = 0.500/2 x 37.7 = 9.4 m s-1 (c) 𝒂=𝒗𝟐𝒓 =𝟗.𝟒𝟐𝒓 = 355 m s-2 2. (a) 𝑔=3456 =𝟔.𝟔𝟕×𝟏𝟎;𝟏𝟏×𝟔.𝟎×𝟏𝟎𝟐𝟒(𝟔,𝟑𝟕𝟎,𝟎𝟎𝟎?𝟔𝟐𝟎,𝟎𝟎𝟎)𝟐 = 8.19 m s-2 (b) W=mg =80 x 8.19 = 655 N (c) The astronaut has the same acceleration as the spacecraft he is in. 3. (a) vY2 = uY2 +2aYY 0 = (usinθ)2 + 2(-10)2.5 (12sinθ) 2=50 sinθ = AB*' θ = 36.1° (b) vY=uY +aYt 0=12sin36.1° - 10t t = 0.707 s (c) vx=ux = ucosθ =12cos36.1° =9.70 m/s (d) x=uxt =12cos36.1° x 0.707 x= 6.85 m