EJC 2023 J1 H2 Promo P2 QP

©EJC 2023 9749/02/J1H2PROMO/2023 [Turn over EUNOIA JUNIOR COLLEGE JC1 PROMOTIONAL EXAMINATIONS 2023 General Certificate of Education Advanced Level Higher 2 CANDIDATE NAME CIVICS GROUP 2 3 - REGISTRATION NUMBER PHYSICS Paper 2 Structured Questions 9749/02 September/October 2023 2 hours Candidates answer on the Question Paper. No Additional Materials are required. READ THESE INSTRUCTIONS FIRST Write your name, civics group and registration number on all the work you hand in. 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. The use of an approved scientific calculator is expected where appropriate. Answer all questions. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. This document consists of 24 printed pages and 0 blank page. For Examiner’s Use 1 10 2 8 3 7 4 9 5 7 6 6 7 7 8 13 9 13 s.f. c.f. Total 80

2 ©EJC 2023 9749/02/J1H2PROMO/2023 Data speed of light in free space, ( )( ) 81 71 0 12 1 0 91 19 34 27 31 e 27 p 11 23 1 A 23 1 10 m s 10 H m 10 F m 10 F m 10 C 6 63 10 J s 1 3 00 4 8 85 1 36 1 60 9 11 1 67 66 10 kg 10 kg 10 kg J K mol 6 02 10 8 31 1 38 mol 10 J K c. . / e h. u. m m . . . R. N k . . G ε µπ π − −− −− −− − − − − − −− − −− × × × × × = × = = = × × × = × = = = = = = = × 11 2 2 2 10 N m kg m 67 81 s 6 9 . g. −− − = = × permeability of free space, permittivity of free space, elementary charge, the Planck constant, unified atomic mass constant, rest mass of electron, rest mass of proton, molar gas constant, the Avogadro constant, the Boltzmann constant, gravitational constant, acceleration of free fall,

3 ©EJC 2023 9749/02/J1H2PROMO/2023 [Turn over Formulae uniformly accelerated motion, ( ) ( ) 2 22 2 0 0 22 0 12 12 0 0 0 0 0 0 1 2 1 2 2 / K / C 273 15 1 3 3 2 sin cos 111 4 sin 2 2 exp ln2 at u as V p gh Gm r TT . Nmpc V kT xx t vv t xx R /R /R /R QV r xx t B d NB r s ut v Wp t E Bn t Anvq RR xx ρ φ ω ω ω πε ω µ π µ µ λ λ = + ∆ = =− = °+ = = = = ±− ++ =++ = = = = = − = = + = = = = = I I I I   work done on/by a gas, hydrostatic pressure, gravitational potential, temperature, pressure of an ideal gas, mean translational kinetic energy of an ideal gas molecule displacement of particle in s.h.m. velocity of particle in s.h.m. electric current, resistors in series, resistors in parallel, electric potential, alternating current/voltage, magnetic flux density due to a long straight wire magnetic flux density due to a flat circular coil magnetic flux density due to a long solenoid radioactive decay, decay constant

4 ©EJC 2023 9749/02/J1H2PROMO/2023 1 A car slides from rest (at point A) with a constant acceleration of 4.0 m s -2 along a rough slope before reaching the edge of a cliff (at point B) as shown in Fig 1.1. The slope is at an angle of 27° to the horizontal. The car slides 30 m along the slope before falling into the ocean (at point C ) which is 40 m below the edge of the cliff. Fig. 1.1 (a) Define velocity. [1] (b) Show that the speed of the car at point B is 15.5 m s-1. [1]

5 ©EJC 2023 9749/02/J1H2PROMO/2023 [Turn over (c) Calculate the velocity of the car at point C. velocity = …………………………………. m s-1 [3] direction = ………………………………………... [1] (d) Calculate the time taken for the car to fall from point B to point C. time = …………………………………. s [2] (e) Sketch the vertical acceleration, ay, of the car against its horizontal displacement, dx, from point A to point C on Fig.1.2. Label the vertical axis with appropriate values taking the downward direction as positive. Fig. 1.2 [2] [Total: 10]

6 ©EJC 2023 9749/02/J1H2PROMO/2023 2 An airplane is brought to rest on the deck of a stationary aircraft-carrier by an arrester wire system. A hook on the underside of the air plane engages with a wire that is part of the system used to decelerate the airplane as shown in Fig 2.1. A constant deceleration of the airplane is maintained by wire braking systems at A and B. Fig. 2.1 (a) State Hooke’s Law. [1] (b) During manufacture, the arrester wire is tested by being extended by 0.15 m. At this extension, the tension in the wire is 2.90 × 105 N. Calculate the energy stored in the wire. Energy = …………………………………. J [2] hook arrester wire system side view top view arrester wire system

7 ©EJC 2023 9749/02/J1H2PROMO/2023 [Turn over (c) Fig 2.2 below shows the variation with time of the velocity of an airplane of mass 2.8 × 104 kg landing on the stationary aircraft-carrier. Fig. 2.2 Using Fig 2.2, calculate the tension T in the arrester wire at the position shown in Fig 2.1, when the angle between T and the horizontal axis is 12.5°. Assume that the tension in the arrestor wires provides the decelerating force. T = …………………………………. N [3] (d) While counterintuitive, the pilot will push the engines to full power as soon as the plane hits the aircraft carrier, to prepare to take off again in case the tailhook do not catch any of the arresting wires. Identify all the forces acting on the airplane as it is rolling on the aircraft carrier and label them clearly in Fig 2.3 below. Assume that the wheels of the airplane are free-rolling and not engine- driven. Fig. 2.3 [2] [Total: 8] velocity / m s-1 time / s

8 ©EJC 2023 9749/02/J1H2PROMO/2023 3 Two balls X and Y are supported by long strings, as shown in Fig 3.1(a). Ball X has a mass of 50 g and ball Y has mass m. Fig. 3.1(a) Fig. 3.1(b) The balls are then pulled apart and released. Just before the balls collide, balls X and Y have speed of 4.5 m s –1 and 2.8 m s–1 respectively. (a) Define linear momentum. [1] (b) When the collision is elastic, ball X rebounds at a speed of 1.8 m s–1. (i) Prove that the speed v of ball Y just after the collision is 5.5 m s–1 and state the direction of its motion. direction : …………………………………. [2] (ii) Calculate the mass m of Y. m = …………………………………. g [2] X X Y Y 4.5 m s-1 2.8 m s -1

9 ©EJC 2023 9749/02/J1H2PROMO/2023 [Turn over (c) When the collision between X and Y is perfectly inelastic, calculate the speed of ball Y just after the collision. speed = …………………………………. m s–1 [2] [Total: 7]

10 ©EJC 2023 9749/02/J1H2PROMO/2023 4 (a) An object moves in a circular path at constant speed. Explain why the object is considered to have acceleration. [2] (b) A ball bearing of mass m = 100 g is attached to the end of a massless rod of length R = 15 cm. The other end of the rod is attached to a smooth pin. The ball is raised to position P so that the rod makes an angle of 30° above the horizontal, as shown in