EJC Physics 2023 J2 H1 MYE PAPER 2

©EJC 2023 8867/J2H1MYE2023 [Turn over a EUNOIA JUNIOR COLLEGE JC2 MID YEAR EXAMINATIONS 2023 General Certificate of Education Advanced Level Higher 1 CANDIDATE NAME CIVICS GROUP 2 2 - REGISTRATION NUMBER PHYSICS Structured Questions 8867/02 26th June 2023 2 hours READ THESE INSTRUCTIONS FIRST Write your name, civics group and registration number on all the work you hand in. The use of an approved scientific calculator is expected where appropriate. Answer all questions. 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 paper clips, highlighters, glue or correction fluid. Section A Answer all questions from this section. Section B Answer the question from this section. The number of marks is given in brackets [ ] at the end of each question or part question. This document consists of 19 printed pages and 1 blank page. For Examiner’s Use Q1 10 Q2 6 Q3 6 Q4 7 Q5 7 Q6 14 Q7 10 Q8 20 P2 Total 80

2 ©EJC 2023 8867/J2H1MYE2023 Data Formulae uniformly accelerated motion = + ++ = + = + + =   2 22 12 12 1 2 2 11 1 s at u as R /R /R u v /R t RR resistors in series resistors in parallel speed of light in free space − − − − − − −− − × × = × × × = × = = = × = = = 81 19 27 31 e 27 p 23 1 A 11 2 2 2 3 00 1 60 9 11 1 10 m s 10 C 1 66 10 kg 10 kg 10 kg 6 02 10 mol 10 N m k 6 1 g m 7 s 7 66 98 c u . e. . . N G. g . m m . . elementary charge unified atomic mass constant rest mass of electron rest mass of proton the Avogadro constant gravitational constant acceleration of free fall

3 ©EJC 2023 9749/J2H2MYE2023 [Turn over Section A Answer all the questions in this section in the spaces provided. 1 (a) A smooth pebble, made from uniform rock, has the shape of an elongated sphere as shown in Fig. 1.1. Fig. 1.1 The length of the pebble is L. The cross-section of the pebble, in the plane perpendicular to L, is circular with a maximum radius r. A student investigating the density of the rock makes measurements to determine the values of L, r and the mass M of the pebble as follows: L = (0.1242 ± 0.0001) m r = (0.0420 ± 0.0004) m M = (1.072 ± 0.001) kg (i) State the name of a measuring instrument suitable for making this measurement of L. ……………………………………………………………………………………………….[1] (ii) Determine the percentage uncertainty in the measurement of r. percentage uncertainty = …………………………. % [1] (b) The density of ρ of the rock from which the pebble in (a) is composed is given by nMr kLρ = where n is an integer and k is a constant, with no units, that is equal to 2.094. (i) Use SI base units to show that n is equal to −2. [2]

4 ©EJC 2023 8867/J2H1MYE2023 (ii) Calculate the percentage uncertainty in ρ. percentage uncertainty = ………………………...% [3] (iii) Determine ρ with its absolute uncertainty. Give your values to the appropriate number of significant figures. ρ = (…………………………±……….….…...) kg m−3 [3] [Total: 10]

5 ©EJC 2023 9749/J2H2MYE2023 [Turn over 2 A block X of mass mX slides in a straight line along a horizontal frictionless surface, as shown in Fig. 2.1 Fig. 2.1 Fig. 2.2 The block X collides head-on with a stationary block Y of mass mY. The two blocks stick together and then move with common speed v, as shown in Fig. 2.2. Fig. 2.3 shows the variation with time t of the momentum of block X. The values on the momentum axis is not given intentionally. Fig. 2.3 v

6 ©EJC 2023 8867/J2H1MYE2023 (a) (i) By considering conservation of momentum, calculate the ratio total kinetic energy of X and Y after collision total kinetic energy of X and Y before collision . ratio = ……………………………………… [3] (ii) State the value of the ratio in (i) for a perfectly elastic collision. ratio = ……………………………………… [1] (b) On Fig. 2.3, sketch the variation of the momentum of block Y with time t from t = 0 to t = 60 ms. [2] [Total: 6]

7 ©EJC 2023 9749/J2H2MYE2023 [Turn over 3 (a) State Newton’s Second Law of Motion. ……………………………………………………………………………………………………… ………………………………………………………………………………………………...…[2] (b) Fig. 3.1 below shows a smooth ramp inclined at 30° that is flat at the top. Two boxes of masses 8.0 kg and 4.0 kg are connected by a string that is passed over a smooth pulley. A force of 150 N is applied on the 8.0 kg mass in the downslope direction. Fig. 3.1 Determine the tension in the string and the acceleration of the masses. tension = …………………………….N acceleration = ………………………… m s−2 [4] [Total: 6] 30° 4.0 kg

8 ©EJC 2023 8867/J2H1MYE2023 4 A ball of mass 1.5 kg is attached to one end of a light rigid rod of length 2.0 m. The other end of the rod is pivoted at C. The ball is given an initial push to set it into a circular motion in a vertical plane with centre at C. At a certain point in the trajectory, when the ball is moving at a speed of 9.5 m s−1, the rod makes an angle of 50° to the vertical, as shown in Fig. 4.1 below. Fig. 4.1 (a) Determine the force in the rod along the radial direction at the instant shown in Fig. 4.1. State whether the rod is in compression or tension. force in rod = …………………….. N Compression or tension: ………………………... [3] 50° ball light rod C

9 ©EJC 2023 9749/J2H2MYE2023 [Turn over (b) Determine the minimum magnitude of force in the rod through the trajectory. minimum force in rod = …………………….. N [4] [Total: 7]

10 ©EJC 2023 8867/J2H1MYE2023 5 A battery of electrom otive force (e.m.f.) 12.0 V and internal resistance r is connected to a filament lamp and a resistor, as shown in Fig. 5.1. Fig. 5.1 The current in the battery is 3.6 A and the current in the resistor is 2.1 A. The I-V characteristic for the lamp is shown in Fig. 5.2. Fig. 5.2 (a) Determine the resistance of the lamp in Fig. 5.1. resistance = ……………………………. Ω [3]