TEST CODE FORM TP 2021321 CARIBBEAN 02138020 MAY/JUNE 2021 E XAM I NAT I O N S COUNCIL CARIBBEAN ADVANCED PROFICIENCY EXAMINATION® PHYSICS UNIT 1 – Paper 02 2 hours 30 minutes READ THE FOLLOWING INSTRUCTIONS CAREFULLY. 1. This paper consists of THREE questions. Answer ALL questions. 2. Write your answers in the spaces provided in this booklet. 3. Do NOT write in the margins. 4. Where appropriate, ALL WORKING MUST BE SHOWN in this booklet. 5. You may use a silent, non-programmable calculator to answer questions, but you should note that the use of an inappropriate number of figures in answers will be penalized. 6. If you need to rewrite any answer and there is not enough space to do so on the original page, you must use the extra lined page(s) provided at the back of this booklet. Remember to draw a line through your original answer. 7. If you use the extra page(s) you MUST write the question number clearly in the box provided at the top of the extra page(s) and, where relevant, include the question part beside the answer. DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO. Copyright © 2020 Caribbean Examinations Council All rights reserved. 02138020/MJ/CAPE 2021 ‘‘*’’Barcode Area”*” Sequential Bar Code LIST OF PHYSICAL CONSTANTS Universal gravitational constant G = 6.67 × 10–11 N m2 kg–2 Acceleration due to gravity g = 9.81 m s–2 1 Atmosphere atm = 1.00 × 105 N m–2 Boltzmann’s constant k = 1.38 × 10–23 J K–1 Density of water ρw = 1.00 × 103 kg m–3 Specific heat capacity of water Cw = 4200 J kg–1 K–1 Specific latent heat of fusion of ice Lf = 3.34 × 105 J kg–1 Specific latent heat of vaporization of water Lv = 2.26 × 106 J kg–1 Avogadro’s constant NA = 6.02 × 1023 per mole Molar gas constant R = 8.31 J K–1 mol–1 Stefan–Boltzmann’s constant σ = 5.67 × 10–8 W m–2 K–4 Speed of light in free space (vacuum) c = 3.00 × 108 m s–1 Speed of sound in air c = 340 m s–1 Planck’s constant h = 6.626 × 10–34 J s Triple point temperature Ttr = 273.16 K 1 tonne t = 1000 kg 02138020/MJ/CAPE 2021 GO ON TO THE NEXT PAGE ‘‘*’’Barcode Area”*” Sequential Bar Code DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA -4- DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA -5- NOTHING HAS BEEN OMITTED. 02138020/MJ/CAPE 2021 GO ON TO THE NEXT PAGE ‘‘*’’Barcode Area”*” Sequential Bar Code Answer ALL questions. 1. A parachutist jumps from an airplane and the corresponding velocities, v, and times of travel, t, of her fall are recorded and presented in Table 1. TABLE 1: VELOCITIES AND TIMES FOR PARACHUTIST’S FALL Time, t/s Velocity, v/ms–1 (a) 0 0 4 26 15 48 20 50 40 50 41 20 45 8 60 8 62 0 On the grid provided in Figure 1 on page 7, plot a graph of velocity versus time. Draw the best smooth curve through the points. [5 marks] (b) Describe the motion of the parachutist from the time she jumps out of the airplane to the time she hits the ground, explaining clearly what happens at EACH of the following time intervals in her motion. Time, t/s Description of Motion 0–20 20–40 40–45 45–60 60–62 [8 marks] 02138020/MJ/CAPE 2021 GO ON TO THE NEXT PAGE ‘‘*’’Barcode Area”*” Sequential Bar Code DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA -6- DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA -7- Figure 1. Graph of velocity versus time 02138020/MJ/CAPE 2021 GO ON TO THE NEXT PAGE ‘‘*’’Barcode Area”*” Sequential Bar Code (c) Identify the TWO major forces acting on the parachutist during the time intervals 20–40 s and 45–60 s, and state the relationship between the forces. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. [2 marks] (d) In order to test a circular track of diameter 200 m, banked at 500, a driver races a car around a track with a velocity of 80 m s–1. The total mass of the car and the driver is 680 kg. Figure 2 shows the forces acting on the car. The track may be assumed frictionless. Figure 2. Forces acting on car and driver (i) Explain why the car is accelerating although its speed remains constant. ................................................................................................................................. ................................................................................................................................. ................................................................................................................................. ................................................................................................................................. ................................................................................................................................. ................................................................................................................................. [4 marks] 02138020/MJ/CAPE 2021 GO ON TO THE NEXT PAGE ‘‘*’’Barcode Area”*” Sequential Bar Code DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA -8- DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA -9 For the car and driver calculate the centripetal acceleration (ii) (iii) [3 marks] the normal reaction force. [2 marks] (e) (i) Define the term ‘geostationary satellite’. ................................................................................................................................. ................................................................................................................................. ................................................................................................................................. ................................................................................................................................. [2 marks] 02138020/MJ/CAPE 2021 GO ON TO THE NEXT PAGE ‘‘*’’Barcode Area”*” Sequential Bar Code (ii) State the physical characteristics of the earth which determine the fixed orbital radius, r, for a geostationary satellite. ................................................................................................................................. ................................................................................................................................. ................................................................................................................................. ................................................................................................................................. [2 marks] (iii) State TWO applications of geostationary satellites. ................................................................................................................................. ................................................................................................................................. ................................................................................................................................. ................................................................................................................................ ................................................................................................................................ ................................................................................................................................ [2 marks] Total 30 marks 02138020/MJ/CAPE 2021 GO ON TO THE NEXT PAGE ‘‘*’’Barcode Area”*” Sequential Bar Code DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA - 10 - DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA - 11 2. A wooden block is connected to a light spring as shown in Figure 3. The block performs simple harmonic motion (SHM) in a vertical plane and completes 20 oscillations in 8.0 s. The amplitude of oscillation is 2.0 cm and the spring constant is 26.5 N m–1. Figure 3. Oscillation of wooden block in a vertical plane (a) Define EACH of the following terms. (i) Amplitude ................................................................................................................................. ................................................................................................................................. ................................................................................................................................. (ii) Period ................................................................................................................................. ................................................................................................................................. ................................................................................................................................. [2 marks] (b) State the TWO conditions necessary for simple harmonic motion (SHM). .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. [2 marks] 02138020/MJ/CAPE 2021 GO ON TO THE NEXT PAGE ‘‘*’’Barcode Area”*” Sequential Bar Code (c) For the system in Figure 3, calculate (i) the mass of the wooden block [4 marks] (ii) the angular frequency of the oscillations (iii) the maximum velocity of the wooden block. 02138020/MJ/CAPE 2021 [3 marks] [3 marks] GO ON TO THE NEXT PAGE ‘‘*’’Barcode Area”*” Sequential Bar Code DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA - 12 - DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA - 13 (d) (i) The amplitude of the oscillations of the wooden block in Figure 3 decreases gradually by 0.2 cm with EACH oscillation. On the pair of axes shown in Figure 4, sketch the first FIVE oscillations. [5 marks] Figure 4. Oscillations of wooden block (ii) Identify the phenomenon depicted by the waveform sketched in (d) (i) and state TWO real-life situations in which this phenomenon occurs. ................................................................................................................................. ................................................................................................................................. ................................................................................................................................. ................................................................................................................................. [3 marks] (e) (i) Define the term ‘threshold of hearing’ and state its value for a healthy young adult. ................................................................................................................................. ................................................................................................................................. ................................................................................................................................. ................................................................................................................................. [2 marks] 02138020/MJ/CAPE 2021 GO ON TO THE NEXT PAGE ‘‘*’’Barcode Area”*” Sequential Bar Code (ii) Write an equation to show the relationship between sound intensity level, in dB, and the threshold of hearing, I0. ................................................................................................................................. ................................................................................................................................. [1 mark] (iii) At a school party the average sound intensity level is found to be 90 dB. Determine the intensity in W m–2. [2 marks] (iv) A student has been at the party for 3 hours. Determine the amount of energy incident on his eardrum, if its surface area is 0.5 cm2. [3 marks] Total 30 marks 02138020/MJ/CAPE 2021 GO ON TO THE NEXT PAGE ‘‘*’’Barcode Area”*” Sequential Bar Code DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA - 14 - DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA - 15 3. (a) State THREE assumptions of the kinetic theory of ideal gases. ............................................................................................................................................. ............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. [3 marks] (b) Neon (Ne) gas was released into a metal sphere of volume 3.5 × 10–3 m3 and held at a temperature of 27 °C and a pressure of 2.0 ×105 Pa. Taking the molar mass of Ne to be 20.18 g, calculate (i) the average translational kinetic energy of ONE molecule of the Ne gas [3 marks] (ii) the number of molecules of Ne gas in the metal sphere [3 marks] 02138020/MJ/CAPE 2021 GO ON TO THE NEXT PAGE ‘‘*’’Barcode Area”*” Sequential Bar Code (iii) the root mean square (r.m.s) speed of the Ne molecules. [4 marks] (c) A metal sphere of surface area A is hung in the middle of an oven. The temperature, T, of the oven is increased over time so that the temperature of the metal sphere changes with the oven’s temperature. The power, P, radiated from the metal sphere with each temperature is recorded in Table 2. TABLE 2: OVEN TEMPERATURE AND CORRESPONDING POWER FOR METAL SPHERE P/W T/W T4/K4 (×109) 190 313 216 323 244 333 278 343 308 353 345 363 [1 mark] (i) Complete Row 3 of Table 2 by filling in the values for T 4/K4. (ii) On the grid provided in Figure 5 on page 17, plot a graph of P versus T 4. Draw the line of best fit through the points. [4 marks] 02138020/MJ/CAPE 2021 GO ON TO THE NEXT PAGE ‘‘*’’Barcode Area”*” Sequential Bar Code DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA - 16 - DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA - 17 - Figure 5. Graph of P versus T 4 02138020/MJ/CAPE 2021 GO ON TO THE NEXT PAGE ‘‘*’’Barcode Area”*” Sequential Bar Code (iii) Determine the gradient of the graph drawn on page 17 and hence deduce the surface area of the metal sphere. [5 marks] (d) Describe the mechanism of thermal conduction in metallic conductors. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. [7 marks] Total 30 marks END OF TEST IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST. ‘‘*’’Barcode Area”*” Sequential Bar Code 02138020/MJ/CAPE 2021 DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA - 18 -