2023 HCI Prelim P2 QP

This document consists of 26 printed pages. HWA CHONG INSTITUTION JC2 Preliminary Examination Higher 1 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. 8867/02 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 an HB 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. For Examiner’s Use Paper 2 Section A 1 9 2 11 3 16 4 12 5 12 Section B 6 20 7 20 Deductions Total 80 Section A Answer all questions. Section B Answer any one question. 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.

2 © Hwa Chong Institution 2023 8867 / JC2 Preliminary Examination Data Formulae speed of light in free space, c = 3.00  10 8 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  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 resistors in series resistors in parallel s = ut + 2 1 at2 v 2 = u 2 + 2as R = R1 + R2 + . . . 1/R = 1/R1 + 1/R2 + . . .

3 © Hwa Chong Institution 2023 8867 / JC2 Preliminary Examination Section A Answer all the questions in this section. 1 (a) Soft drink cans are being packed into a cubic crate of volume 1.0 m3. (i) Estimate the volume of a soft drink can. volume of a soft drink can = ……………… cm3 [1] (ii) Estimate the volume of empty space in a 1 .0 m3 cubic crate filled with the maximum number of soft drink cans. volume of empty space = ……………… m3 [3]

4 © Hwa Chong Institution 2023 8867 / JC2 Preliminary Examination (b) As part of an advertising campaign, a sports car and a jet fighter will race over a straight 2.0 km track. The velocity -time graphs of both the ca r and the aircraft are shown in Fig. 1.1. The car maintains a constant acceleration of 9.0 m s -2 throughout the race while the jet fighter experiences an acceleration of 5.0 m s -2 for the first 10 seconds of the race, after which its acceleration is 15.0 m s-2. Fig. 1.1 (i) Determine the time taken for the sports car to reach a speed of 100 km h-1. time taken = ……………… s [2] car jet fighter 10 t / s v / m s-1 50

5 © Hwa Chong Institution 2023 8867 / JC2 Preliminary Examination (b) (ii) The car wins the race. Determine the difference in finish times of the car and the jet fighter, . Δt = ……………… s [3] [Total: 9] t

6 © Hwa Chong Institution 2023 8867 / JC2 Preliminary Examination 2 (a) A wooden block at rest on a weighing scale placed on a horizontal surface registers 1.6 kg. The same block and the weighing scale are now placed on a rough slope as shown in Fig. 2.1. Fig. 2.1 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 [4] 30 block weighing scale

7 © Hwa Chong Institution 2023 8867 / JC2 Preliminary Examination 2 (b) The same block is now suspended by a string from the ceiling. 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 0.2 s before it reverses its direction and moves off with a speed of 19.1 m s-1. The block rises to a maximum height of 0.25 m after the collision. (i) Show that the speed of the block immediately after the collision is 2.2 m s-1. [1] (ii) Calculate the average force F between the ball and the block during the collision. F = …… … ………….. N [2] (iii) Determine the speed of the ball before the collision. initial speed of the ball = …… … ………….. m s-1 [2]

8 © Hwa Chong Institution 2023 8867 / JC2 Preliminary Examination (c) Using your answers in (b), deduce whether the collision is elastic. [2] [Total: 11]

9 © Hwa Chong Institution 2023 8867 / JC2 Preliminary Examination 3 An experiment is conducted to determine the spring constant of a spring which obeys Hooke’s law. The natural length of the spring is 0.100 m and g = 10 m s2. (a) Complete the missing values in Fig. 3.1. mass / kg length / m 0.100 0.140 0.200 0.220 0.400 0.500 Fig. 3.1 [2] (b) On Fig. 3.2, plot the data points from Fig. 3.1 and draw the best-fit line. [2] Fig. 3.2 (c) Hence or otherwise, determine the spring constant of the spring. spring constant = .............................. N m–1 [2] 0.10 0.15 0.20 0.25 0.30 0.00 0.10 0.20 0.30 0.40 0.50 length / m mass / kg

10 © Hwa Chong Institution 2023 8867 / JC2 Preliminary Examination (d) A mass of 350 g is suspended from the spring such that it is at equilibrium (i) Use Fig. 3.2 or otherwise to determine the extension of the spring. extension = ……………………….. m [1] (ii) Calculate the elastic potential energy stored in the spring. elastic potential energy = ……………………………. J [2] (e) The mass is now supported in such a way and gently raised such that the spring is unstretched. (i) Determine the work done on the mass to support the spring. work done = ……………………………. J [2]