2024 HCI H1 Physics Paper 1 Question Paper

This paper consists of 14 printed pages. HWA CHONG INSTITUTION JC2 Preliminary Examinations Higher 1 CANDIDATE NAME CT GROUP 23S CENTRE NUMBER INDEX NUMBER PHYSICS Paper 1 Multiple Choice Additional Materials: Optical Mark Sheet 8867/01 17 September 2024 60 minutes INSTRUCTIONS TO CANDIDATES Write in soft pencil. Do not use staples, paper clips, glue or correction fluid. Write your name, CT, NRIC or FIN number on the optical mark sheet (OMS). Shade your NRIC or FIN in the spaces 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 OMS. 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.

2 © Hwa Chong Institution 8867 / 01 / C2 Prelim 2024 Data Formulae speed of light in free space, c = 3.00  10 8 m s -1 permeability of free space, 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  10 23 mol -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, s = ut + 2 1at2 v 2 = u 2 + 2as resistors in series, R = R1 + R2 + . . . resistors in parallel, 1/R = 1/R1 + 1/R2 + . . .

3 © Hwa Chong Institution 8867 / 01 / C2 Prelim 2024 1 A thermometer can be read to an accuracy of 0.5 °C. This thermometer is used to measure a temperature rise from 20 °C to 80 °C. What is the percentage uncertainty in the measurement of the temperature rise? A 0.5 % B 0.8 % C 1.3 % D 1.7% 2 The intensity of a beam is defined as the power delivered per unit area. What is the unit of intensity expressed in SI base units? A kg m2 s-3 B kg m s-3 C kg s-2 D kg s-3 3 Which one of the following groups contains three vector quantities? A displacement, velocity, energy B displacement, velocity, momentum C velocity, acceleration, power D force, work, energy 4 The acceleration−time graph of an object moving along a straight line is shown below. The object was initially at rest. At which point on the graph is the object at the largest distance from the starting point? 5 An elevator is moving downwards with a downward acceleration of 5.8 m s -2. A ball, held 2.0 m above the floor of the elevator and at rest with respect to the elevator, is released. How long does it take for the ball to reach the floor of the elevator? A 0.51 s B 0.64 s C 0.83 s D 1.00 s acceleration time A B C D

4 © Hwa Chong Institution 8867 / 01 / C2 Prelim 2024 6 A tennis ball is projected with an initial speed of 10.0 m s-1 at an angle of 30° above the horizontal. The ball is moving towards a vertical wall, which is located a horizontal distance 10.0 m away from the initial point. What is the speed of the ball when it hits the wall? A 1.15 m s-1 B 6.33 m s-1 C 8.06 m s-1 D 10.7 m s-1 7 A thruster is used to launch a 500-kg rocket vertically upward from rest. This thruster ejects exhaust at a speed of 1000 m s-1. What should be the minimum rate, in kg s -1, at which the exhaust should leave the thruster at the instant of launch? A 0.5 B 2.0 C 4.9 D 20 8 Two steel balls X and Y are suspended on strings. Ball X is pulled one side as shown. . After ball X is released, the balls collide. Which quantities must be conserved in the collision? A kinetic energy, total energy and momentum B kinetic energy and momentum only C kinetic energy and total energy only D total energy and momentum only Y X

5 © Hwa Chong Institution 8867 / 01 / C2 Prelim 2024 9 Two bodies, P and Q, are travelling towards one another on a level frictionless track at speeds 4.0 m s -1 and 2.0 m s -1 respectively. Body P has a mass of 2.0 kg and body Q has a mass of 3.0 kg. If the collision between the bodies is perfectly elastic, what is the speed of P, in m s -1, after the collision? A 0 B 2.0 C 3.2 D 4.0 10 A uniform rod has a wooden section and a solid rubber handle as shown in the diagram below. The length of the handle is l and the length of the wooden section is 4.00 l. The rod balances a distance 2.10 l from the rubber end. What is the ratio density of rubber density of wood ? A 1.71 B 2.25 C 2.50 D 3.27 P Q 4.0 m s-1 2.0 m s-1 2.0 kg 3.0 kg

6 © Hwa Chong Institution 8867 / 01 / C2 Prelim 2024 11 A shelf made of uniform material is held horizontally against a wall by a metal cable as shown in the diagram below . The forces acting on the shelf are its weight, the force exerted by the metal cable, and the force exerted by the hinge. Which arrow could represent the direction of the force the hinge exerts on the shelf? 12 The spring suspension system of a car obeys Hooke’s Law. The following data are provided: Mass of passengers: 450 kg Mass of car and passengers: 2000 kg Difference in height of car when passengers alight: 0.10 m What is the force constant k of the spring suspension system? A 4500 N m-1 B 15500 N m-1 C 44100 N m-1 D 152000 N m-1 A B C D shelf metal cable hinge wall

7 © Hwa Chong Institution 8867 / 01 / C2 Prelim 2024 13 A block of 0.20 kg is dropped from a height of 15 cm above a light spring of spring constant 85 N m - 1, as shown in the diagram below. The block lands on the light board and compresses the spring. What is the maximum compression of the spring? A 2.4 cm B 4.6 cm C 8.3 cm D 11 cm 14 A speed boat with two engines, each of power 32 kW, can travel at a maximum speed of 14 m s-1. The total drag force on the boat is directly proportional to the speed of the boat. What is the maximum speed of the boat when only one engine is working? A 3.5 m s-1 B 7.0 m s-1 C 9.9 m s-1 D 11 m s-1 15 The driving force F on a car of mass m causes the car to accelerate. In a time t it travels a distance s and its speed increases from u to v. What is the useful work done by the car engine? A ி௦ ௧ B ݉(ݒ−ݑ) C ݐܨ D ௠(௩మି௨మ) ଶ 15 cm 0.20 kg light board

8 © Hwa Chong Institution 8867 / 01 / C2 Prelim 2024 16 In an amusement park ride, a person sits in a cage which moves in a vertical circle at a constant speed. The person stays stationary with respect to the cage. At the instant shown, what is the direction of the force exerted by th