ASRJC Prelim H2P3 (9749) Final

1 9749/03/ASRJC/2023Prelim [Turn Over Name: _____________________________ ( ) Class: 23 / ______ 2023 JC2 Preliminary Exam PHYSICS Higher 2 9749/03 Paper 3 Longer Structured Questions Friday 15 September 2023 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 26 printed pages and 2 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/2023Prelim 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

3 9749/03/ASRJC/2023Prelim [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/2023Prelim Section A Answer all the questions in this section in the spaces provided. 1 A raindrop falls vertically from rest. The variation with time t of the vertical velocity of the raindrop 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] (b) A student suggests that the drag force D on the raindrop of mass m falling with a speed v is given by the expression D = k v2 where k is a constant. At speed v, the acceleration of the raindrop is a.

5 9749/03/ASRJC/2023Prelim [Turn Over (i) Show that, based on the student’s suggestion, and without using data from the graph in Fig. 1.1, 2 () −= kvga m where g is the acceleration of free fall. [2] (ii) Use information from Fig. 1.1 or otherwise, complete Table 1.2. Show your working clearly. Table 1.2 velocity v / m s-1 acceleration a / m s-2 (g – a) / m s-2 4.0 8.0 0 9.8 [2] (iii) Use the completed Table 1.2 to deduce whether the student’s suggestion for velocities of 4.0 m s-1 and 8.0 m s-1 is correct. [2] [Total: 8]

6 9749/03/ASRJC/2023Prelim 2 (a) Define force. ………………………………………………………………………………………….………….. …………………………………………………………………………………………….......... [1] (b) Mechanical power P can be calculated using the formula P = Fv. Use the concept of work and the definition of power to show how this formula is derived. [2] (c) The engine of a lorry provides 130 kW of power to the lorry’s wheels when it is travelling at a constant speed of 25 m s–1 along a straight horizontal road. (i) Show that the resistive force opposing the forward motion of the lorry is 5200 N. Explain your working clearly. [2] (ii) Describe, in terms of Newton’s third law, the horizontal forces acting on the tyres of the lorry and on the road. ………………………………………………………………………………….................... ………………………………………………………………………………….................... ……………………………………………………………………………….………….... [2]

7 9749/03/ASRJC/2023Prelim [Turn Over (d) The lorry in (c) travels up a straight section of road that is inclined at an angle θ to the horizontal, as shown in Fig. 2.1. Fig. 2.1 (not to scale) The total resistive force remains unchanged at 5200 N and the engine now provides greater power to cause an acceleration of 0.15 m s-2. The total mass of the lorry is 36 000 kg. The angle θ is 1.4°. Determine the total force provided by the engine. force = …………………………….N [2] [Total: 9]

8 9749/03/ASRJC/2023Prelim 3 (a) Two identical cars are moving around a horizontal track. One car follows path X and the other follows path Y, as shown in Fig. 3.1. Fig. 3.1 The maximum lateral friction force that the cars can experience without sliding is the same for both cars. Each car is travelling at its maximum speed at which it can move without sliding. State and explain whether the magnitude of the acceleration and m aximum speed of the car on path Y is less than, greater than or same as the car on path X. acceleration ……………………………………………………………………………….……….................... ………………………………………………………………………………….…….................... ………………………………………………………………………………………..................... maximum speed ………………………………………………………………………………….......................... ………………………………………………………………………………….......................... ……………………………………………………………………………….………………......[4] start and finish line track path Y path X

9 9749/03/ASRJC/2023Prelim [Turn Over (b) Jupiter has close to eighty moons, of which eight of them are in approximately circular orbits. Jupiter has a mass MJ, radius RJ and a Jupiter-day is approximately 0.417 Earth- days. The orbital radii and periods of two of the moons of Jupiter are tabulated in Table 3.1. The orbital radii and the orbital periods of these moons are expressed in units of RJ and Earth- days respectively. Table 3.1 name of Moon orbital radius / RJ orbital period / Earth-days Amalthea 2.62 Thebe 3.18 0.676 (i) Show that the period T of a circular orbit around Jupiter, expressed in terms of the radius of the