YIJC 2023 H2Phy Prelim P2 Question Paper

©YIJC [Turn over YISHUN INNOVA JUNIOR COLLEGE JC 2 PRELIMINARY EXAMINATION Higher 2 CANDIDATE NAME CG INDEX NO PHYSICS Paper 2 Structured Questions Candidates answer on the Question Paper. No Additional Materials are required. 9749/02 30 August 2023 2 hours READ THESE INSTRUCTIONS FIRST This document consists of 21 printed pages and 3 blank pages. For Examiner’s Use Paper 2 1 /8 2 /8 3 /10 4 /14 5 /6 6 /11 7 /10 8 /13 Penalty Paper 2 Total /80 Write your name and class in the spaces at the top of this page. Write in dark blue or black pen on both sides of the paper. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid/tape. The use of an approved scientific calculator is expected, where appropriate. Answer all questions. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question.

2 ©YIJC 9749/02/YIJC/PRELIM/2023 [Turn over Data speed of light in free space, c = 3.00  108 m s–1 permeability of free space, o = 4  10–7 H m–1 permittivity of free space, o = 8.85  10–12 F m–1 (1/(36))  10–9 F m–1 elementary charge, e = 1.60  10–19 C the Planck constant, h = 6.63  10–34 J s unified atomic mass constant, u = 1.66  10–27 kg rest mass of electron, me = 9.11  10–31 kg rest mass of proton, mp = 1.67  10–27 kg molar gas constant, R = 8.31 J K–1 mol–1 the Avogadro constant, NA = 6.02  1023 mol–1 the Boltzmann constant, k = 1.38  10–23 J K–1 gravitational constant, G = 6.67  10–11 N m2 kg–2 acceleration of free fall, g = 9.81 m s–2 Formulae uniformly accelerated motion, s = ut + 2 1 at2 v2 = u2 + 2as work done on/by a gas, W = p  V hydrostatic pressure, p =  g h gravitational potential,  = r Gm− temperature, T/K = T/°C + 273.15 pressure of an ideal gas, p = 2CV Nm 3 1 mean translational kinetic energy of an ideal gas molecule, E = kT2 3 displacement of particle in s.h.m. x = xo sin  t velocity of particle in s.h.m., v = vo cos  t =   )( 22 xxo − electric current, I = A n v q resistors in series, R = R1 + R2+………. resistors in parallel, R 1 = ........11 21 ++ RR electric potential, V = r Q o4 alternating current/voltage, x = xo sin  t magnetic flux density due to a long straight wire, B = dπ2 oIμ magnetic flux density due to a flat circular coil, B = r2 No Iμ magnetic flux density due to a long solenoid, B = Ion radioactive decay, x = xo exp(–t) decay constant,  = 2 1t 2 ln

3 ©YIJC 9749/02/YIJC/PRELIM/2023 [Turn over BLANK PAGE

4 ©YIJC 9749/02/YIJC/PRELIM/2023 [Turn over Answer all questions. 1 A ball is thrown with a velocity of 25 m s−1 vertically upwards from ground level. Air resistance is not negligible. The variation with time t of the vertical velocity v of the ball is shown in Fig. 1.1. Fig. 1.1 (a) Use Fig. 1.1 to explain how it may be deduced that air resistance varies with speed. …………………………………………………………………..……..…….………………… ………………………………………………………………………………………………….. ………………………………………………………………...……….…..……..................... ………………………………………………………………………………………………….. [2] -15 -10 -5 0 5 10 15 20 25 0 1 2 3 4 5 v / m s−1 t / s

5 ©YIJC 9749/02/YIJC/PRELIM/2023 [Turn over (b) (i) State the time at which the acceleration of the ball is g. time = ………………….. s [1] (ii) On Fig. 1.1, sketch the graph to show the variation with time t of the velocity v of the ball if air resistance is negligible. [2] (c) The mass of the ball is 350 g and that the maximum height reached by the ball is 19 m. Use Fig. 1.1 to determine the ratio, energy lost from the ball due to air resistance during the ball's upward motion .energy lost from the ball due to air resistance during the ball's downward motion ratio = ………………….. [3] [Total: 8]

6 ©YIJC 9749/02/YIJC/PRELIM/2023 [Turn over 2 (a) Define moment of a force. ……………………………...……………………………...…………..……..…….………….. ………………………………………………..……………………...……….…..……………. [1] (b) An arrangement for lifting heavy loads is shown in Fig. 2.1. Fig. 2.1 A uniform metal beam AB is pivoted on a vertical wall at A. The beam is supported by a wire joining end B to the wall at C. The beam makes an angle of 30  with the wall and the wire makes an angle of 60 with the wall. The beam has length 2.8 m and weight of 500 N. A load of 4000 N is supported from B. The tension in the wire is T. The beam is in equilibrium. (i) By taking moments about an appropriate point, show that T is 2.1 kN. [1] (ii) Calculate the vertical component Tv of the tension T. Tv = ………………….. N [1]

7 ©YIJC 9749/02/YIJC/PRELIM/2023 [Turn over (iii) Explain why Tv does not equal the sum of the load and the weight of the beam although the beam is in equilibrium. …………………………………………………………………..……..…….………….. …………………………………………………………………………………………… ………………………………………………………………...……….…..……............ [1] (iv) Determine the magnitude and direction of the reaction force on the beam at A. force magnitude = ……………………………. N direction = ………………………………. [4] [Total: 8]

8 ©YIJC 9749/02/YIJC/PRELIM/2023 [Turn over 3 (a) State what is meant by work done. ……………………………...……………………………...…………..……..…….………….. ………………………………………………..……………………...……….…..……………. [1] (b) A lift of weight 13.0 kN is connected by a cable to a motor, as shown in Fig 3.1. Fig. 3.1 The lift is pulled up by the cable. A constant frictional force of 2.0 kN acts on the cable by the motor when the lift is moving. The variation with time t of the speed v of the lift is shown in Fig. 3.2. Fig. 3.2 (i) Use Fig. 3.2 to determine the displacement of the lift between time t = 0 and t = 4.0 s displacement = ………………….. m [2]

9 ©YIJC 9749/02/YIJC/PRELIM/2023 [Turn over (ii) Determine the work done by the motor to raise the lift between time t = 0 and t = 4.0 s. work done = ………………….. J [4] (iii) The motor has an efficiency of 67%. The tension in the cable is 1.6 × 10 4 N at time t = 2.5 s. Determine the input power to the motor at this time. power = ………………….. W [3] [Total: 10]

10 ©YIJC 9749/02/YIJC/PRELIM/2023 [Turn over 4 (a) (i) State, in terms of force, the condition necessary for an object to move in a circular path at constant speed. …………………………………………………………………..……..…….………….. …………………………………………………………………………………………… ………………………………………………………………...……….…..……............ [1] (ii) Explain why this object is accelerating. State the direction of the acceleration. …………………………………………………………………..……..…….………….. …………………………………………………………………………………………… ………………………………………………………………...……….…..……............ [2] (b) A satellite moves in a circular orbit around the Earth at a constant speed of 3700 m s−1. The mass of the Earth is 6.0  1024 kg. (i) Calculate the radius of this orbit. Show your working clearly. radius = ………………….. m [3] (ii) State and explain if the satellite is a geostationary satellite. …………………………………………………………………..……..…….………….. ………………………………………………………………...……….…..……............ [2]