2023 HCI H2 PH Prelim P2 QP

This document consists of 20 printed pages. HWA CHONG INSTITUTION JC2 Preliminary Examination Higher 2 CANDIDATE NAME CT GROUP 22S CENTRE NUMBER INDEX NUMBER PHYSICS Paper 2 Structured Questions Candidates answer on the Question Paper. No Additional Materials are required. 9749/02 13 September 2023 2 hours READ THESE INSTRUCTIONS FIRST Write your Centre Number, index number and name 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 a soft 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. The number of marks is given in brackets [ ] at the end of each question or part question. You are reminded of the need for good English and clear presentation in your answers. For Examiner’s Use Paper 2 1 11 2 9 3 7 4 10 5 10 6 12 7 21 Deductions Total 80

2 © Hwa Chong Institution 2023 9749 / JC2 Preliminary Examination Data Formulae speed of light in free space, c = 3.00  10 8 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  10 23 mol -1 the Boltzmann constant, k = 1.38  10 -23 J K -1 gravitational constant, G = 6.67  10 -11 N m 2 kg -2 acceleration of free fall, g = 9.81 m s -2 uniformly accelerated motion work done on / by a gas hydrostatic pressure gravitational potential temperature pressure of an ideal gas mean kinetic energy of a molecule of an ideal gas displacement of particle in s.h.m. velocity of particle in s.h.m. electric current resistors in series resistors in parallel electric potential alternating current / voltage magnetic flux density due to a long straight wire magnetic flux density due to a flat circular coil magnetic flux density due to a long solenoid radioactive decay decay constant s = ut + 2 1 at2 v 2 = u 2 + 2as W = p V p = gh r Gm−= T/K = T/ C + 273.15 P = 21 3 Nm cV  kTE 2 3= x = xo sin t v = vo cos t = )( 22 xxo − I = Anvq R = R1 + R2 + . . . 1/R = 1/R1 + 1/R2 + . . . r QV o4= x = xo sin  t 2 oμB d=  I 2 oμNB r= I B = onI x = xo exp ( -t ) 1 2 ln2 t =

3 © Hwa Chong Institution 2023 9749 / JC2 Preliminary Examination 1 (a) A wooden block placed on a weighing scale on a table registers 1.6 kg. The same block and the weighing scale are now placed on a rough slope as shown in Fig. 1.1. Fig. 1.1 The slope is at an angle of 30 to the horizontal. Determine the new reading on the weighing scale. Show your working clearly. new reading on the weighing scale = ………………….. kg [3] 30 wooden block weighing scale table

4 © Hwa Chong Institution 2023 9749 / JC2 Preliminary Examination (b) The same block is now suspended from the ceiling by a cord of length 1.3 m. A tennis ball of mass 58 g is shot from a launcher and strikes the block horizontally. The ball is in contact with the block for a time of 0.20 s during which it reverses its direction and moves off with a speed of 19 m s-1. After the collision, the block swings to a maximum angle of 37 from its initial vertical position. Assume that during the collision, vertical motions are negligible. Fig. 1.2 (i) Show that the speed of the block immediately after the collision is 2.3 m s-1. [2] (ii) Calculate the average force F between the ball and the block during the collision. F = ………………….. N [2] wooden block tennis ball 37

5 © Hwa Chong Institution 2023 9749 / JC2 Preliminary Examination (iii) Determine the horizontal speed of the ball before the collision. initial speed of the ball = ………………….. m s-1 [2] (c) Using your answers in (b), deduce whether the collision is elastic. ……………………………………………………………………………………………………………. ………………………………………………………………………………………………………….[2] [Total: 11]

6 © Hwa Chong Institution 2023 9749 / JC2 Preliminary Examination 2 (a) State Newton’s Law of Gravitation. …………………………………………………………………………………………………………….... ……………………………………………………………………………………………………….…. [1] (b) A geostationary satellite is placed in orbit around the Earth. (i) Explain why the satellite must be above the equator. ………………………………………………………………………………………………………. ……………………………………………………………………………………………………….. …………………………………………………………………………………………………… [2] (ii) Given that the mass of the Earth is 6.0 x 1024 kg and the radius of the Earth is 6.4 x 106 m, 1. show that the altitude of the satellite above the surface of the Earth is 3.6 x 107 m, [4] 2. calculate the linear speed of the satellite. linear speed = ……………………. m s-1 [2] [Total: 9]

7 © Hwa Chong Institution 2023 9749 / JC2 Preliminary Examination 3 A string, tied to a sinusoidal oscillator at P and running over a support at Q, is stretched by a block of mass m as shown in Fig. 3.1. The amplitude of the motion at P is small enough for that point to be considered a node. A node also exists at Q. Fig. 3.1 (a) Explain how a stationary wave is formed along the string. …………………………………………………………………………………........................................ …………………………………………………………………………………........................................ …………………………………………………………………………………................................... [2] (b) Explain why the incident wave must undergo a phase change of 180 at point Q. …………………………………………………………………………………........................................ …………………………………………………………………………………................................... [1] (c) The frequency of the oscillator is set at 120 Hz. A stationary wave is formed when the length L is 1.20 m. The length is slowly increased and the stationary wave disappears. The stationary wave is again formed when L is increased by 0.30 m. (i) Calculate the velocity of the wave in the string. wave velocity = ……………………. m s-1 [2] (ii) Given that the amplitude of the antinodes is 0.80 cm, calculate the maximum vertical velocity for a point on the string. maximum vertical velocity = ……………………. m s-1 [2] [Total: 7] L m P Q oscillator

8 © Hwa Chong Institution 2023 9749 / JC2 Preliminary Examination 4 (a) Define electric potential at a point. ……………………………………………………………………………………………………............ ……………………………………………………………………………………………….......………. ……………………………………………………………………………………………………....... [1] (b) An isolated nucleus in a vacuum produces electric potential V at a distance r from its centre. Fig. 4.1 shows the variation with r of V. Fig. 4.1 0 1.0 2.0 3.0 4.0 5.0 6.0 0 100 200 300 400 500 600 700 800 V / V