2024 ACJC J2 H1 Physics Prelim P1

This paper consists of 16 printed pages. Anglo-Chinese Junior College Physics Preliminary Examination Higher 1 PHYSICS Paper 1 Multiple Choice Additional Materials: Multiple Choice Answer Sheet 8867/01 13 September 2024 1 hour READ THESE INSTRUCTIONS FIRST Write in soft pencil. Do not use staples, paper clips, glue or correction fluid. Write your name and index number on the Answer Sheet provided. There are thirty questions on this paper. Answer all questions. For each question there are four possible answers A, B, C and D. Choose the one you consider correct and record your choice in soft pencil on the separate Answer Sheet. Read the instructions on the Answer Sheet very carefully. Each correct answer will score one mark. A mark will not be deducted for a wrong answer. Any working should be done in this Question Paper. The use of an approved scientific calculator is expected, where appropriate.

2 Anglo-Chinese Junior College 2024 J2 H1 8867 Paper 1 Preliminary Examination DATA AND FORMULAE Data speed of light in free space c = 3.00  108 m s1 elementary charge e = 1.60  1019 C 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 the Avogadro constant NA = 6.02  1023 mol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 + 1 2 at 2 v 2 = u 2 + 2as resistors in series R = R1 + R2 +  resistors in parallel 1/R = 1/R1 + 1/R2 + 

3 Anglo-Chinese Junior College 2024 J2 H1 8867 Paper 1 Preliminary Examination 1 The maximum theoretical power P of a wind turbine is given by the equation P = k  A v n, where  is the density of air, A is the area swept by the turbine blades, v is the speed of the air and k is a constant with no units. What is the value of n? A 1 B 2 C 3 D 4 2 Two measurements for a solid sphere are shown. mass = (32.5 ± 0.1) g diameter = (1.87 ± 0.04) cm These values are used to determine the density of the sphere. What is the percentage uncertainty in the density? A 2.4% B 4.6% C 6.1% D 6.7% 3 Two cables are attached to a bracket and exert forces as shown. What are the magnitudes of the horizontal and vertical components of the resultant of the two forces? horizontal component / N vertical component / N A 9.7 0.53 B 9.7 11 C 18 0.53 D 18 11 bracket horizontal vertical 15 N 20° 6.0 N 40°

4 Anglo-Chinese Junior College 2024 J2 H1 8867 Paper 1 Preliminary Examination 4 A projectile is launched at an angle  from the vertical. What fraction of its initial velocity does the projectile have at the top of its trajectory? A 0 B sin  C cos  D tan  5 The graph shows the variation with time t of the displacement s of an object moving along a straight path. Which time interval is the magnitude of the acceleration the greatest?

5 Anglo-Chinese Junior College 2024 J2 H1 8867 Paper 1 Preliminary Examination 6 A block is released from rest down a frictionless inclined plane of angle . The block passes two light sensors S1 and S2 at time t1 and t2 respectively. What is the acceleration of free fall? A 2 2 2 1 2 ( ) h t t  B 2 2 1 2 ( ) h t t  C 2 2 2 1 2 ( )cos h t t   D 2 2 2 1 2 ( )sin h t t   7 A large bucket, lifted by a rope attached to a crane, is used on a building site to raise heavy loads. The bucket, of total mass m when fully loaded, rises at a uniform speed v before decelerating uniformly to rest in time t. What is the difference of tension in the rope supporting the bucket between the time when the bucket is moving at uniform speed and the time when the bucket is decelerating? A mg t B mv t C vm g t      D vm gt     

6 Anglo-Chinese Junior College 2024 J2 H1 8867 Paper 1 Preliminary Examination 8 A toy rocket consists of a plastic bottle which is partially filled with water as shown in the figure below. The space above the water contains compressed air. At one instant during the flight of the rocket bottle, water of density 1000 kg m3 is forced out of the nozzle of radius 0.012 m at a speed of 10 m s1 relative to the nozzle. What is the rate of change of momentum of the water? A 45 N B 120 N C 3800 N D 7500 N 9 Two stationary ice-skaters Charlie and Sam, each of mass 60 kg, are directly facing one another on an ice-skating rink. Charlie throws a 1.5 kg medicine ball towards Sam with a horizontal speed of 2.5 m s1. Sam catches the ball and throws it back to Charlie with the same horizontal speed. What is the speed of Charlie after catching the ball? A 0 m s1 B 0.063 m s1 C 0.12 m s1 D 0.13 m s1 nozzle compressed air water

7 Anglo-Chinese Junior College 2024 J2 H1 8867 Paper 1 Preliminary Examination 10 Two spheres each have the same mass. They approach one another with speeds u1 and u2 and collide head-on as shown. The speeds after impact are v1 and v2. Which equation is correct if the collision is elastic? A u1 – u2 = v2 – v1 B u1 – u2 = v2 + v1 C u12 – u22 = v12 + v22 D u12 + u22 = v12 + v22 11 A climber is supported by a light rope on a vertical wall as shown. The weight W of the climber is 520 N and the reaction force R acts at right angles to the wall. The climber is in equilibrium. Which row shows the value of the tension T in the rope and R. T / N R / N A 500 150 B 500 480 C 550 170 D 550 520 before collision u1 u2 after collision v1 v2

8 Anglo-Chinese Junior College 2024 J2 H1 8867 Paper 1 Preliminary Examination 12 A beam on a pivot supports a load P at one end and a load Q at the other end. The weight of the beam is negligible and the beam is maintained in a horizontal position as shown. Which row gives possible values for P and for Q? P / N Q / N A 3 7 B 49 7 C 21 9 D 27 9 13 Which pair of forces is an example of Newton’s third law? A The weight of a box and the normal contact force acting on it. B The weight of a truck and the gravitational pull of the truck on earth. C The driving force of the engine of a car and the resistive force against the car. D The weight of a parachutist and the air resistance acting against his motion at terminal velocity. 14 A skydiver of mass 60 kg is falling vertically with a terminal speed of 240 km h–1. What is the rate at which the skydiver is losing his mechanical energy? A 39 kW B 130 kW C 170 kW D 510 kW

9 Anglo-Chinese Junior College 2024 J2 H1 8867 Paper 1 Preliminary Examination 15 A constant force is applied on an object initially at rest on a horizontal frictionless surface. Which graph best represents the variation of power supplied P with distance x moved by the object? A B C D 16 A motor driving a pump raises 0.20 m 3 of water through a vertical height of 10 m in 5.0 minutes. The efficiency of the motor is 40 % and the density of water is 1000 kg m–3. What is the power generated by the motor? A 26 W B 65 W C 160 W D 9800 W 17 The hour hand of a large clock is 2.5 m long. What is the average angular speed of this hand? A 1.5  10─4 rad s─1 B 3.0  10─4 rad s─1 C 1.8  10─3 rad s─1 D 1.0  10─1 rad s─1