2013 MJC H2 Physics P1

This question paper consists of 15 printed pages MERIDIAN JUNIOR COLLEGE Preliminary Examination Higher 2 _______________________________________________________________________ H2 Physics 9646/1 Paper 1 25 September 2013 1 hour 15 min _______________________________________________________________________ Class Reg Number Candidate Name _____________________________ READ THESE INSTRUCTIONS FIRST Do not open this booklet until you are told to do so. There are forty questions in this section. Answer all questions. For each question, there are four possible answers A, B, C and D. Choose the one you consider correct and record your choice in soft pencil on the Optical Mark Sheet (OMS). Read very carefully the instructions on the OMS. Write your name and class in the spaces provided on the OMS. Shade your Index Number column using the following format: 1) first 2 digits is your index number in class (e.g. 5th student is shaded as “05”); 2) ignore the last row of alphabets.

Preliminary Examination Meridian Junior College 25 September 2013 JC2 H2 Physics 2013 2 Data speed of light in free space c = 3.00 x 108 m s-1 permeability of free space o = 4 x 10-7 H m-1 permittivity of free space ε0 = 8.85 x 10-12 F m-1 = (1/(36)) x 10-9 F m-1 elementary charge e = 1.60 x 10-19 C the Planck constant h = 6.63 x 10-34 J s unified atomic mass constant u = 1.66 x 10-27 kg rest mass of electron me = 9.11 x 10-31 kg rest mass of proton mp = 1.67 x 10-27 kg molar gas constant R = 8.31 J K-1 mol-1 the Avogadro constant NA = 6.02 x 1023 mol-1 the Boltzmann constant k = 1.38 x 10-23 J K-1 gravitational constant G = 6.67 x 10-11 N m2 kg-2 acceleration of free fall g = 9.81 m s-2 Formulae uniformly accelerated motion s = ut + 1 2 at2 v2 = u2 + 2as work done on/by a gas W = pV hydrostatic pressure p = gh gravitational potential  =  Gm r displacement of particle in s.h.m. x = xo sin t velocity of particle in s.h.m. v = vo cos t =   22 o -x x mean kinetic energy of a molecule of an ideal gas E = 3 2 kT resistors in series R = R1 + R2 + … resistors in parallel 1/R = 1/R1 + 1/R2 + … electric potential V = 04 Q r alternating current/voltage x = xo sin t transmission coefficient T  exp(-2kd) where k =   2 2 8( )mU E h radioactive decay x = xo exp(-t ) decay constant  = 1 2 0.693 t

Preliminary Examination Meridian Junior College 25 September 2013 JC2 H2 Physics 2013 3 Answer all 40 questions in this paper and shade your answers on the answer sheet provided. 1 When comparing systematic and random errors, the following pairs of properties of errors in an experimental measurement may be contrasted. P 1 : error can possibly be eliminated P2 : error cannot possibly be eliminated Q1 : error is of constant sign and magnitude Q2 : error is of varying sign and magnitude R1 : error will be reduced by averaging repeated measurements R2 : error will not be reduced by averaging repeated measurements Which properties apply to random errors? A P1, Q1, R2 B P1, Q2, R2 C P2, Q1, R1 D P2, Q2, R1 2 The formula for the period of a simple pendulum is 2T g l . Such a pendulum can be used to determine g. The fractional error in measurement of the period T is  x and that in the measurement of the length l is  y. The fractional error in the calculated value of g is no greater than A 2x + y B 2x – y C x + y D x – y 3 The acceleration-time graph of an object moving in a straight line is as shown. The object started its motion from rest. At which point is the body moving with the largest speed? 4 A car decelerates uniformly from 20 m s -1 t o 1 5 m s-1 in 70 m. What further distance will it need to travel before it stops completely? A 13 m B 90 m C 160 m D 210 m A B C D time acceleration 0

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Preliminary Examination Meridian Junior College 25 September 2013 JC2 H2 Physics 2013 5 7 A sphere of mass 3.00 kg rests on a rough slope as shown. The frictional force between the sphere and the slope is given as 2.0 N. The spring obeys Hooke’s Law. The spring constant is 500 N m -1. What is the compression of the spring? A 0.0208 m B 0.0248 m C 0.0493 m D 0.0548 m 8 Two balls X and Y approach each other along the same straight line and collide elastically. Their speeds are ux and uy respectively. After the collision they move apart with speeds vx and vy respectively. Their directions are shown on the diagram. Which of the following equation is correct? A ux - uy = vy - vx B ux + uy = vx - vy C ux + uy = vx + vy D ux - uy = vx - vy 9 A box of weight 100 N is pushed 10 m up a slope inclined at 30° above the horizontal by a force of 150 N along the slope. The frictional force opposing the motion is 60 N. How much of the work done by the 150 N force is converted into kinetic energy and internal energy? Kinetic Energy / J Internal Energy / J A 400 600 B 900 600 C 400 0 D 600 900 X X Y Y 25° Wall

Preliminary Examination Meridian Junior College 25 September 2013 JC2 H2 Physics 2013 6 10 An airplane has two jet engines. If each of the jet engines has an efficiency of 80%, what is the power input of each engine required to allow the plane to fly with a thrust of 200 kN at a speed of 250 m s -1? A 20.0 MW B 31.3 MW C 40.0 MW D 62.5 MW 11 A model car moves in a horizontal circle of radius R at constant speed. The mass of the car is M and it makes one complete revolution in time T. Which of the following is the magnitude of the net force acting on the car? A 2 2 4 MR T  B 224 RMT C 2 MR T  D 2 RMT 12 An artificial satellite travels in a circular orbit about the Earth. Its rocket engine is then fired and produces a force on the satellite exactly equal and opposite to that exerted by the Earth’s gravitational field. The satellite would then start to move A along a spiral path towards Earth B along the line joining it to the centre of the Earth (i.e. radially) C along a tangent to the orbit D in a circular orbit with a longer period 13 The centres of two isolated spherical stars each of mass M and radius R are separated by a distance d as shown in the diagram. Point X is mid-way between the stars. The gravitational potential at point X due to the two stars is A 4GM d B 2GM d C GM R D zero d X M M

Preliminary Examination Meridian Junior College 25 September 2013 JC2 H2 Physics 2013 7 14 Planet X has a density of , radius R and gravitational acceleration of a. What is the gravitational acceleration of Planet Y with density 2 and radius 2R? A 4 a B 8 a C a D 0.5 a 15 A particle of mass 5.0 × 10 -3 kg performing simple harmonic motion of amplitude 150 mm takes 47 s to make 50 oscillations. What is the maximum kinetic energy of the particle? A 2.0 × 10-3 J B 2.5 × 10-3 J C 3.9 × 10-3 J D 5.0 × 10-3 J 16 The needle of a sewing machine is made to oscillate vertically through a total distance of