YIJC 2024 JC2 PRELIM H2 Phy P2 QP

©YIJC 9749/02/YIJC/24 [Turn over YISHUN INNOVA JUNIOR COLLEGE JC 2 PRELIMINARY EXAMINATION Higher 2 CANDIDATE NAME CG INDEX NO PHYSICS Paper 2 Structured Questions Candidates answer on the Question Paper. No Additional Materials are required. 9749/02 9 September 2024 2 hours READ THESE INSTRUCTIONS FIRST This document consists of 25 printed pages and 3 blank pages. For Examiner’s Use Paper 2 1 /6 2 /6 3 /10 4 /12 5 /7 6 /8 7 /10 8 /21 Penalty Paper 2 Total /80 Write your name, class and index number 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, highlighters, glue or correction fluid/tape. The use of an approved scientific calculator is expected, where appropriate. Answer all questions. The number of marks is given in brackets [ ] at the end of each question or part question.

2 ©YIJC 9749/02/YIJC/24 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

3 ©YIJC 9749/02/YIJC/24 [Turn over Formulae uniformly accelerated motion, s = ut + 2 1 at2 v2 = u2 + 2as work done on/by a gas, W = p  V hydrostatic pressure, p =  g h gravitational potential,  = r Gm− temperature, T/K = T/°C + 273.15 pressure of an ideal gas, p = 2CV Nm 3 1 mean translational kinetic energy of an ideal gas molecule, E = kT2 3 displacement of particle in s.h.m. x = xo sin  t velocity of particle in s.h.m., v = vo cos  t =   )( 22 xxo − electric current, I = A n v q resistors in series, R = R1 + R2+………. resistors in parallel, R 1 = ........11 21 ++ RR electric potential, V = r Q o4 alternating current/voltage, x = xo sin  t magnetic flux density due to a long straight wire, B = dπ2 oIμ magnetic flux density due to a flat circular coil, B = r2 No Iμ magnetic flux density due to a long solenoid, B = Ion radioactive decay, x = xo exp(–t) decay constant,  = 2 1t 2 ln

4 ©YIJC 9749/02/YIJC/24 Answer all questions in the spaces provided. 1 A girl falls vertically onto a trampoline, as shown in Fig. 1.1 Fig. 1.1 The trampoline consists of a central section supported by springy material. At time t = 0, the girl starts to fall. The girl hits the trampoline and rebounds vertically. The variation with time t of velocity v of the girl is illustrated in Fig. 1.2. Fig. 1.2 (a) For the motion of the girl, calculate springy material

5 ©YIJC 9749/02/YIJC/24 [Turn over (i) the distance fallen between time t = 0 and when she hits the trampoline, distance = ……………...……... m [1] (ii) the average acceleration during the rebound. acceleration = ……………………... m s−2 [2] (b) (i) Explain, without calculation, how Fig. 1.2 show s that the acceleration of the girl before and after the rebound is the same. ………………………………………………………………………………………………..…… ………………………………………………………………………………………………..…… …………………………………………………………………………………………………. [1] (ii) Use Fig. 1.2 to compare, without calculation, the potential energy of the girl at t = 0 and t = 1.85 s. Explain your answer. ………………………………………………………………………………………………..…… ………………………………………………………………………………………………..…… …………………………………………………………………………………………………. [2] [Total: 6]

6 ©YIJC 9749/02/YIJC/24 2 A non-uniform L-shaped beam of weight 10 N is attached to a wall using a hinge, as shown in Fig. 2.1. The beam is held at rest using a cord, such that the longer part of the beam is horizontal. The weight of the beam acts at a point on the beam that is at a horizonal distance of x away from the hinge. The tension in the cord is 5.0 N. Fig. 2.1 (a) Determine the value of x. x = ……………...……... cm [2] (b) (i) On Fig. 2.1, draw and label 1. the tension T acting on the beam due to the cord, and [1] 2. the contact force R acting on the beam due to the hinge. [1] cord wall 10 N 60° 50 cm hinge 10 cm x L-shaped beam

7 ©YIJC 9749/02/YIJC/24 [Turn over (b) (ii) Show that the magnitude of R is 8.7 N. [2] [Total: 6]

8 ©YIJC 9749/02/YIJC/24 3 A space technology company launches nanosatellites into space. The mass of each nanosatellite is 80 kg, and it is launched near Earth’s equator to a height of 1.5  103 km above Earth's surface. The radius of Earth is 6.4  103 km and the mass of Earth is 6.0  1024 kg. (a) (i) A nanosatellite is launched from Earth’s surface using a propulsion system that supplies 3.0  109 J of energy to the nanosatellite. Assuming that there is negligible air resistance and no loss of mass, calculate the kinetic energy of the satellite when it reaches a height of 1.5  103 km. kinetic energy = …………………... J [3] (ii) Another nanosatellite is currently in a circular orbit about Earth at the height of 1.5  103 km above Earth’s surface. Calculate the magnitude of centripetal force required for the nanosatellite to stay in this orbit. centripetal force = ………………... N [2]

9 ©YIJC 9749/02/YIJC/24 [Turn over (b) Fig. 3.1 shows the variation of the gravitational potential with distance from the centre of Earth. The radius of Earth, RE is indicated in Fig. 3.1. Fig 3.1 (i) State what is meant by gravitational potential. ………………………………………………………………………………………………..…… ………………………………………………………………………………………………..…… …………………………………………………………………………………………………. [1] (ii) Using Fig. 3.1, explain why the gravitational force acting on the nanosatellite due to Earth is an attractive one. ………………………………………………………………………………………………..…… ………………………………………………………………………………………………..…… …………………………………………………………………………………………………. [2]

10 ©YIJC 9749/02/YIJC/24 (iii) By referring to Fig. 3.1, calculate the escape velocity of the nanosatellite. escape velocity = ………………... km s–1 [2] [Total: 10]