ASRJC 2024 JC2 H2 Physics Prelim P3

1 9749/03/ASRJC/2024PRELIM [Turn Over Name: _____________________________ ( ) Class: 24 / ______ 2024 JC2 Preliminary Examination PHYSICS Higher 2 9749/03 Paper 3 Longer Structured Questions Thursday 12 September 2024 2 hours Candidates answer on the Question Paper. No Additional Materials are required. READ THESE INSTRUCTIONS FIRST Write your name, class index number and class in the spaces provided above. 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, glue or correction fluid. The use of an approved scientific calculator is expected, where appropriate. Section A Answer all questions. Section B Answer one question only. You are advised to spend about one and a half hours on Section A and half an hour on Section B. The number of marks is given in brackets [ ] at the end of each question or part question. This document consists of 24 printed pages and 4 blank pages. For Examiner’s Use Paper 3 (80 marks) 1 2 3 4 5 6 7 8 9 Deductions Total ANDERSON SERANGOON JUNIOR COLLEGE

2 9749/03/ASRJC/2024PRELIM Data speed of light in free space c = 3.00  108 m s−1 permeability of free space 0 = 4  10−7 H m−1 permittivity of free space 0 = 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

3 9749/03/ASRJC/2024PRELIM [Turn Over Formulae uniformly accelerated motion =s 2 2 1 atut + =2v asu 22 + work done on/by a gas =W Vp hydrostatic pressure =p gh gravitational potential = r Gm− temperature T/K = T/C + 273.15 pressure of an ideal gas p =  2 3 1 cV Nm mean translational kinetic energy of an ideal gas molecule =E kT2 3 displacement of particle in s.h.m. x = x0 sin  t velocity of particle in s.h.m. v = v0 cos  t = 22 xxo − electric current I = Anvq resistors in series R = R1 + R2 + … resistors in parallel 1/R = 1/R1 + 1/R2 + … electric potential V = r Q o4 alternating current/voltage x = x0 sin  t magnetic flux density due to a long straight wire B = d o   2 I magnetic flux density due to a flat circular coil B = r No 2 I magnetic flux density due to a long solenoid B = Ino radioactive decay x = x0 exp(–t) decay constant  = 2 1 2ln t

4 9749/03/ASRJC/2024PRELIM Section A Answer all the questions in this section in the spaces provided. 1 (a) Length, mass and amount of substance are all SI base quantities. (i) State two other SI base quantities. 1. …………………………………………………………………………………………... 2. …………………………………………………………………………………………... [2] (ii) State one derived quantity. …………………………………………………………………………………………… [1] (b) The acceleration of free fall g may be determined from an oscillating pendulum using the equation 2 2 4g T = l where l is the length of the pendulum and T is the period of oscillation. In an experiment, the measured values for an oscillating pendulum are l = 1.50 m ± 2% and T = 2.48 s ± 3%. (i) Determine the percentage uncertainty in g. percentage uncertainty = ……………………………. [1] (ii) Calculate g together with its uncertainty. g = ………………………….. ± ………………… m s–2 [3] [Total 7]

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6 9749/03/ASRJC/2024PRELIM 2 A sky -diver jumps from a high -altitude balloon. The variation with time t of the vertical acceleration a of the sky-diver is shown in Fig. 2.1. Fig. 2.1 (a) Explain why the acceleration of the sky-diver decreases with time. ……………………………………………………………………………………………………... ……………………………………………………………………………………………………... ………………………………………………………………………………………………….. [2] (b) State and explain whether the acceleration at the start of the jump is greater than, equals to, or less than 9.81 m s–2. ……………………………………………………………………………………………………... ……………………………………………………………………………………………………... ………………………………………………………………………………………………….. [2] (c) Explain how you will use Fig. 2.1 to determine the terminal velocity of the sky-diver. ……………………………………………………………………………………………………... .…………………………………………………………………………………………..………[1] a / m s–2 t / s 0 4.0 8.0 12.0 16.0 20.0 24.0 28.0

7 9749/03/ASRJC/2024PRELIM [Turn Over (d) Sketch the graph of variation with time t of the displacement of the sky-diver on Fig. 2.2. Fig. 2.2 [2] [Total: 7] displacement t / s 4.0 8.0 12.0 16.0 20.0 24.0 28.0 0

8 9749/03/ASRJC/2024PRELIM 3 A uniform beam AB is attached by a hinge to a wall at end A, as shown in Fig. 3.1. Fig. 3.1 (not to scale) The beam has length 0.50 m and weight W. A block of weight 12 N rests on the beam at a distance of 0.15 m from end B. The beam is held horizontal and in equilibrium by a string attached between end B and a fixed point C. The string has a tension of 17 N and is at an angle of 50° to the horizontal. (a) State two conditions for an object to be in equilibrium. 1 ………………………………………………………………………………………….……….. ………………………………………………………………………………………….………….. 2 ……………………………………………………………………………………….………….. …………………………………………………………………………………………….......... [2] (b) Show that the weight W of the beam is 9.2 N. [2] (c) A force F acts on the beam at A. Calculate the magnitude of F. F = …………………………….N [3]

9 9749/03/ASRJC/2024PRELIM [Turn Over (d) The block is now moved closer to end A of the beam. Assume that the beam remains horizontal. State and explain whether this change will increase, decrease or have no effect on the horizontal component of the force exerted on the beam by the hinge. …………………………………………………………………………………………….……….. ………………………………………………………………………………………….………….. ………………………………………………………………………………………………....... [2] [Total: 9]

10 9749/03/ASRJC/2024PRELIM 4 A long strip of springy steel is clamped at one end so that the strip is vertical. A mass of 65 g is attached to the free end of the strip, as shown in Fig. 4.1. Fig. 4.1 The mass is pulled to one side and then released. The variation with time t of the horizontal displacement of the mass is shown in Fig. 4.2. Fig. 4.2 The mass undergoes damped simple harmonic motion. (a) (i) Explain what is meant by damping. ……………………………………………………………………………….………….......... ……………………………………………………………………………….………….......... ……………………………………………………………………………….…………..... [2]