RVHS H2 Physics P2 QP

River Valley High School page 1 of 24 H2 Physics 9749 JC2 Preliminary Examinations 2024 RIVER VALLEY HIGH SCHOOL JC 2 PRELIMINARY EXAMINATIONS H2 PHYSICS 9749 / 02 PAPER 2 12 SEPTEMBER 2024 2 HOURS CANDIDATE NAME CENTRE NUMBER S INDEX NUMBER CLASS 2 3 J INSTRUCTIONS TO CANDIDATES DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO. FOR EXAMINERS’ USE Paper 2 1 / 4 2 / 8 3 / 10 4 / 14 5 / 10 6 / 9 7 / 10 8 / 15 Deduction TOTAL / 80 Read these notes carefully. Write your name, centre number, index number and class in the spaces at the top of this page and on all work you hand in. Candidates answer on the Question Paper. 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. Candidates answer on the Question Paper. No Additional Materials are required. Answer all questions. The number of marks is given in brackets [ ] at the end of each question or part question. This document consists of 23 printed pages and 1 blank page.

River Valley High School page 2 of 24 H2 Physics 9749 JC2 Preliminary Examinations 2024 Data speed of light in free space, c = 3.00  108 m s–1 permeability of free space, O = 4   10–7 H m–1 permittivity of free space, O = 8.85  10–12 F m–1 (1/(36  ))  10–9 F m–1 elementary charge, e = 1.60  10–19 C the Planck constant, h = 6.63  10–34 J s 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 molar gas constant, R = 8.31 J K–1 mol–1 the Avogadro constant, NA = 6.02  1023 mol–1 the Boltzmann constant, k = 1.38  10–23 J K–1 gravitational constant, G = 6.67  10–11 N m2 kg–2 acceleration of free fall, g = 9.81 m s–2

River Valley High School page 3 of 24 H2 Physics 9749 JC2 Preliminary Examinations 2024 Formulae uniformly accelerated motion 21 2s ut at=+ 22 2v u as=+ work done on/by a gas W p V= hydrostatic pressure p gh= gravitational potential rGm−= temperature T / K = T / C + 273.15 pressure of an ideal gas = 2 3 1 cV Nmp mean translational kinetic energy of an ideal gas molecule 3 2E kT= displacement of particle in s.h.m. txx sin0= velocity of particle in s.h.m. tvv = cos0 22 0 xx −= electric current Anvq=Ι resistors in series 12R R R= + + resistors in parallel 121/ 1/ 1/R R R= + + electric potential r QV 04= alternating current/voltage txx sin0= magnetic flux density due to a long straight wire dB   2 0I= magnetic flux density due to a flat circular coil r NB 2 0 I= magnetic flux density due to a long solenoid InB 0= radioactive decay )exp(0 txx −= decay constant 2 1 2ln t=

River Valley High School page 4 of 24 H2 Physics 9749 JC2 Preliminary Examinations 2024 Answers all questions in the spaces provided. 1 A student wishes to calibrate his 3D printer. His 3D printer ejects and deposits molten plastic material to form a physical object based on a digitally designed model. He prints multiple copies of a cube designed to have length of 2.0 cm. Using a well -calibrated vernier caliper, he measures the length along each side of a cube. (a) With reference to the precision of the vernier calipers and the required lengths of each cube, explain how he can check whether the length of one particular printed cube is accurate. ………………..…………………………………………………………………………… ………………..…………………………………………………………………………… ………………..…………………………………………………………………………… ………………..…………………………………………………………………………… ….…………………………………………………………………………...……… [2] (b) Explain how he can check whether the length of his various printed cubes is precise. ………………..…………………………………………………………………………… ………………..…………………………………………………………………………… ………………..…………………………………………………………………………… ………………..…………………………………………………………………………… ….…………………………………………………………………………...……… [2]

River Valley High School page 5 of 24 H2 Physics 9749 JC2 Preliminary Examinations 2024 2 An object P of mass 400 g of initial speed 5.0 m s−1 travels towards a stationary object Q and undergoes an elastic collision with it. After the collision, object P rebounds in the opposite direction with a speed of 0.40 m s−1. (a) State the principle of conservation of linear momentum. ................................................................................................................................ ................................................................................................................................ ………............................................................................................................ [2] (b) State what is meant by an elastic collision. ................................................................................................................................ ………............................................................................................................ [1] (c) Calculate the momentum of object Q after the collision. momentum = ……………………………. kg m s−1 [2] (d) Hence, determine the mass and velocity of object Q. mass = ……………………………. kg velocity = …………...……………. m s−1 [2]

River Valley High School page 6 of 24 H2 Physics 9749 JC2 Preliminary Examinations 2024 (e) Given that P and Q were in contact over a time of 60 ms, determine the average force exerted by P on Q. force = ……………………………. N [1] 3 (a) Two planets, A and B, have the same diameter but different masses. The masses of planets A and B are 5.07 × 10 24 kg and 3.23 × 10 24 kg respectively, and t he distance between the centres of both planets is 3.85 × 108 m. (i) Determine the resultant gravitational field strength at the midpoint between planets A and B. gravitational field strength = ……………………………. N kg−1 [2] (ii) On Fig. 3.1 below, sketch the variation of the resultant gravitational potential Φ with the displacement along a straight line from the surface of planet A to the surface of planet B. [1] A B Φ / J kg−1 displacement / m Fig. 3.1

River Valley High School page 7 of 24 H2 Physics 9749 JC2 Preliminary Examinations 2024 (iii) On Fig. 3.2 below, sketch the variation of the resultant gravitational field strength g with the displacement along a straight line from the surface of planet A to the surface of planet B. [2] (b) Fig. 3.3 shows a binary star system with stars C and D orbiting at different distances about a common point P with the same angular velocity in a circular path. The mass of star C, MC, is twice of that of star D. The distances from point P to stars C and D are Cr and Dr respectively. (i) Show that 1 2 C D r r = . [1] A B g / N kg−1 displacement / m Fig. 3.2 Fig. 3.3 × C D P

River Valley High School page 8 of 24 H2 Physics 9749 JC2 Preliminary Examinations 2024 (ii) Show that the gravitational force FG on star C is given by the expression 2 218 C G C GMF r = [1] (iii) Given that the time taken for star C to complete one rotation of the circle is 3.84 × 10 9 s and the distance between the two stars is 7.20 × 10 12 m, determine the mass of star C, MC. MC = ……………………………. kg [3]

River Valley High School page 9 of 24 H2 Physics