2023 RI Prelim P1 QP

© Raffles Institution RAFFLES INSTITUTION 2023 Preliminary Examination PHYSICS Higher 1 Paper 1 Multiple Choice 8867/01 September 2023 1 hour Additional Materials: Multiple Choice Answer Sheet READ THESE INSTRUCTIONS FIRST Write in soft pencil. Do not use staples, paper clips, glue or correction fluid. Write your name, class and index number on the Answer Sheet in the spaces provided. Shade your index number on the Answer Sheet. 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 rough working should be done in this booklet. The use of an approved scientific calculator is expected, where appropriate. This document consists of 13 printed pages.

2 © Raffles Institution 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  21 2ut at 2v  2 2u as  resistors in series R  R1 + R2 + ….  resistors in parallel 1/R  1/R1 + 1/R2 + ….

3 © Raffles Institution [Turn over 1 What are the SI base units of the volt? A kg m2 s2 A B kg m2 s1 A C kg m2 s1 A1 D kg m2 s3 A1 2 What is the order of magnitude of the weight of an apple? A 104 N B 102 N C 1 N D 102 N 3 A vector F can be resolved into two perpendicular components F1 and F2. The angle between F and F2 is . How do the magnitudes of F1 and F2 change as  is increased from 0 to 90? F1 F2 A increase increase B increase decrease C decrease increase D decrease decrease 4 Two cars, initially next to each other and at rest, accelerate in the same direction constant accelerations. After 4.0 s, they are 16 m apart. If the two cars continue with the same accelerations, how far apart will they be 8.0 s after they started? A 32 m B 48 m C 64 m D 140 m  F F1 F2

4 © Raffles Institution 5 A stone falling vertically strikes some soft ground at speed u and slows down with a constant deceleration until it stops. Which graph best represents the variation with the downward displacement s from the surface of the ground of the stone’s speed v? A B C D 6 Three paths of a kicked football are shown. Ignoring the effects of air resistance, which of the following statements is not correct? A The initial speed for path Z is the largest. B The three paths have the same time of flight. C The vertical component of the initial velocity for path X is the largest. D The horizontal component of the initial velocity for path X is the smallest. v s 0 0 u v s 0 0 u v s 0 0 u v s 0 0 u X Y Z

5 © Raffles Institution [Turn over 7 Two forces F1 and F2 are applied to an object initially at rest. F1 is constant while F2 acts in the opposite direction of F1 with a magnitude that is proportional to the square of the speed of the object. Which statement best describes the motion of the object? A Its speed will increase from zero to a maximum. B Its speed will increase from zero to a maximum and then decrease. C Its acceleration will increase from zero to a maximum. D Its acceleration will increase from zero to a maximum and then decrease. 8 A brick rests on the floor. The forces on it are its weight W and a support force S from the floor. According to Newton's third law, what are the equal and opposite forces to these two forces? equal and opposite force to W equal and opposite force to S A the force the brick exerts on the Earth the force the brick exerts on the floor B the force the Earth exerts on the brick the force the floor exerts on the brick C the force the floor exerts on the brick the force the brick exerts on the floor D the force the floor exerts on the brick the force the Earth exerts on the brick 9 In an experiment, a trolley runs down a slope with a constant acceleration a. The experiment is repeated. The mass of the trolley is now doubled and the trolley is allowed to run down the same slope. In both cases, effects of friction and air resistance are negligible. Which statement is correct for the second experiment? A The accelerating force is the same. B The acceleration is ½a. C The acceleration is a. D The acceleration is 2a.

6 © Raffles Institution 10 The diagram shows two spheres of masses 2 kg and 3 kg moving at constant speed along a straight line towards one another. The speeds of the spheres are 4 m s1 and 6 m s1 respectively. The spheres collide elastically. Which statement explains why the spheres cannot come to rest at the same time? A The speeds of the spheres are not equal. B The masses of the two spheres are not equal. C The impulses during the collision are not equal and opposite. D The initial momenta of the spheres are not equal and opposite. 11 A uniform bar PQ is hinged at a vertical wall at end P and tied to a string at end Q. Which arrow best represents the direction of the force exerted by the wall on the bar? 12 A student turns her head from right to left. What does this action involve? A a resultant force only B a couple only C two parallel but unequal forces D a couple and a resultant force 4 m s1 6 m s1 2 kg 3 kg ceiling wall string Q bar A B P D C

7 © Raffles Institution [Turn over 13 A uniform rod has a wooden section and a solid plastic handle. The length of the handle is x and the length of the wooden section is 5.0x. The rod balances at a distance 2.5x from the plastic end. What is the ratio density of plastic density of wood ? A 1.4 B 2.5 C 5.0 D 7.0 14 The variation with force F of the extension x of a spring is shown. Which area represents the work done in stretching the spring from x1 to x2? A P + Q B Q C R + S D S 15 Two bodies, P and Q, of masses 3.0 kg and 4.0 kg respectively, are connected by a light cord passing over a light, frictionless pulley. P is held at rest on a rough slope inclined at 30° to the horizontal as shown. When P and Q are released, P experiences a constant frictional force of 2.5 N from the slope. What is the total kinetic energy of P and Q when P has travelled 1.5 m up the slope? A 11 J B 18 J C 33 J D 41 J x 5.0x 2.5x plastic handle wooden section F / N x / m x2 x1 S Q R P 0 Q 30

8 © Raffles Institution 16 A car of mass 800 kg travels in a straight at a constant speed of 25 m s 1 along a level road against resistive forces of 400 N. The efficiency of the car to convert the energy of the fuel into work done against the resistive forces is 16%. One kilogram of fuel has an energy value of 45 MJ. How much fuel does the car use t