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GCE JUN 2008 : AS 1 Forces and Electricity

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Centre Number 71 Candidate Number ADVANCED SUBSIDIARY (AS) General Certificate of Education 2008 Physics assessing Module 1: Forces and Electricity ASY11 Assessment Unit AS 1 [ASY11] TUESDAY 17 JUNE, AFTERNOON TIME 1 hour. INSTRUCTIONS TO CANDIDATES Write your Centre Number and Candidate Number in the spaces provided at the top of this page. Answer all seven questions. Write your answers in the spaces provided in this question paper. INFORMATION FOR CANDIDATES The total mark for this paper is 60. Quality of written communication will be assessed in question 3(a). Figures in brackets printed down the right-hand side of pages indicate the marks awarded to each question or part question. Your attention is drawn to the Data and Formulae Sheet which is inside this question paper. You may use an electronic calculator. You will need a ruler and protractor. For Examiner s use only Question Number 1 2 3 4 5 6 7 Total Marks 4658 Marks If you need the values of physical constants to answer any question in this paper, they may be found on the Data and Formulae Sheet. Examiner Only Marks Remark Answer all seven questions. 1 (a) (i) Scalars have units and represent certain physical quantities. Vectors also have units and represent other physical quantities. State what distinguishes a scalar quantity from a vector quantity. ______________________________________________________ ____________________________________________________ [1] (ii) Many physical quantities are derived from the SI base unit quantities. Consider the SI base unit quantities mass, length, time and temperature. The SI base unit quantities listed above are all scalar quantities. The SI base unit quantities listed above are not all scalar quantities. Tick ( ) the box above which you consider to be correct. State the SI base unit for temperature. Unit _____________ 4658 [1] 2 [Turn over (b) From a reference start point P, a ship travels a certain distance due north. It then turns and travels another distance due east. The resultant displacement from P is shown on Fig. 1.1 by the vector R. Examiner Only Marks Remark (i) On Fig. 1.1 complete a labelled sketch to show the vector N for the displacement north of P and the vector E for the displacement east of P. N R E W S P [2] Fig. 1.1 (not to scale) (ii) The resultant displacement from P is 15.0 km. The angle between the resultant displacement and the displacement north is 37 . Calculate the distance moved north and the distance moved east from P. Distance north = _____________ km Distance east = _____________ km 4658 [2] 3 [Turn over 2 (a) (i) Define the momentum of a body. Examiner Only Marks Remark ________________________________________________________ ____________________________________________________ [1] (ii) From your definition, show that a unit for momentum is N s. ________________________________________________________ ________________________________________________________ ____________________________________________________ [1] (b) In a baseball game a pitcher throws a baseball of mass 143 g with a velocity of 30.0 m s 1 towards a player. The player uses his bat to strike the ball, giving it a velocity of 43.0 m s 1 directly back towards the pitcher. The ball is in contact with the bat for 0.011 s. (i) Calculate the magnitude of the initial momentum of the baseball. Initial momentum = _____________ N s [1] (ii) Calculate the magnitude of the final momentum of the baseball. Final momentum = _____________ N s 4658 4 [1] [Turn over (iii) Calculate the impulse given to the ball by the bat. Examiner Only Marks Impulse = _____________ N s Remark [2] (iv) Calculate the mean force on the ball when it is in contact with the bat. Mean force = _____________ N 4658 [2] 5 [Turn over In part (a) of this question you should answer in continuous prose. You will be assessed on the quality of your written communication. 3 Examiner Only Marks Remark (a) A number of coplanar forces act on a mass which is free to move. Discuss fully the physical significance and outcome if the forces form a closed polygon, and if they do not form a closed polygon, when a vector diagram of the forces is drawn. __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ _______________________________________________________ [3] Quality of written communication [1] (b) A car is stationary in soft muddy ground. Three light thin ropes are attached to a point at the front of the car. Coplanar forces parallel to the ground, and of the magnitudes shown, are applied to the car using these ropes as indicated in Fig. 3.1. However, the car remains stationary. 210 N 40 40 140N 70N Fig. 3.1 (not to scale) 4658 6 [Turn over Either by drawing a scale diagram or by calculation, determine the magnitude and direction of the force provided by the mud to keep the car stationary. Examiner Only Marks Remark Force provided by mud = __________________________ N Direction = ______________________ 4658 [4] 7 [Turn over 4 (a) Distinguish between gravitational potential energy and kinetic energy. Examiner Only Marks Remark __________________________________________________________ _______________________________________________________ [1] (b) A car is parked on a slope. Normally the handbrake of a car provides a resistive force to prevent motion of the car. The handbrake on this car is defective and the car moves slowly but steadily at a uniform speed down the slope. Describe how the principle of conservation of energy applies to the car as it moves down the slope. __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ _______________________________________________________ [3] 4658 8 [Turn over (c) (i) A passenger car at the top of a hill on the track of a roller coaster is travelling at 3.00 m s 1, as shown in Fig. 4.1. It descends the hill and runs to the top of the second hill. Examiner Only Marks Remark 3.00ms 1 25.0m 14.0 m Fig. 4.1 Assuming that friction is negligible, calculate the speed of the car at the top of the second hill. Speed = ________ m s 1 [3] (ii) Explain in terms of energy why the answer you have obtained for the speed of the car is larger than would occur in practice. ______________________________________________________ ______________________________________________________ ____________________________________________________ [1] 4658 9 [Turn over 5 (a) On Fig. 5.1 sketch graphs to show how the resistance R of each circuit component varies with temperature. (i) A length of uniform metal wire R/ Examiner Only Marks Remark (ii) An NTC thermistor R/ 0 50 temperature/ C 0 50 temperature/ C [2] Fig. 5.1 (b) (i) A long conductor for an electric railway is to be made from a length of material of uniform cross-section. Distinguish between the resistance and the resistivity of this length of material. ______________________________________________________ ______________________________________________________ ______________________________________________________ ____________________________________________________ [2] (ii) Two materials, A and B, are available to manufacture the conductor. They have resistivities of 1.60 10 8 m and 5.00 1016 m respectively. The conductor is 2.30 km long and of cross-sectional area 50.0 cm2. Select a suitable material and mark your choice by placing a tick ( ) in the appropriate box. Calculate the power dissipated in this conductor when the current through it is 44.0 A. Material A B Power dissipated = ___________ W 4658 10 [6] [Turn over BLANK PAGE (Questions continue overleaf) 4658 11 [Turn over 6 (a) A resistor of resistance 3.0 is connected to a battery of e.m.f. 12.0 V and internal resistance 0.60 as shown in Fig. 6.1. Examiner Only Marks Remark X 0.60 3.0 12.0 V Y Fig. 6.1 The 3.0 resistor is to remain in the circuit, but a variable resistor is connected to the circuit between points X and Y to provide the means of adjusting the effective external resistance so that maximum power is transferred from the battery to the adapted external circuit. (i) Why is the variable resistor connected in the manner stated? ______________________________________________________ ____________________________________________________ [1] (ii) Calculate the magnitude to which the variable resistor must be set to obtain maximum power transfer from the battery. Resistance = ___________ 4658 [3] 12 [Turn over (b) A network of resistors is connected to a battery of e.m.f. 6.0 V and negligible internal resistance. The magnitude of each resistor is as shown in Fig. 6.2. Examiner Only Marks Remark 6.0V 12 7 11 9 4 Fig. 6.2 Calculate the current drawn from the battery. Current = ___________ A 4658 [6] 13 [Turn over 7 A variable resistor, whose resistance can take values from 0 to 10.0 k , is connected as a potential divider to a battery of e.m.f. 12.0 V and negligible internal resistance, as shown in Fig. 7.1. Examiner Only Marks Remark 12.0 V B X C Vo A Y Fig. 7.1 The two ends of the variable resistor are labelled A and B and the slider contact is labelled C. The output voltage Vo of the potential divider is between the terminals X and Y. (a) The slider of the variable resistor is set to a position so that the resistance between B and C is 8.00 k . Calculate the output voltage Vo between the terminals X and Y. Output voltage Vo = _________ V [2] (b) The slider is now moved so that the output voltage Vo is 3.60 V. Calculate the magnitude of the resistance between A and C. Resistance between A and C = _________k 4658 14 [2] [Turn over (c) The slider contact is now set so that the resistance between A and C is equal to the resistance between C and B. A load resistor of resistance 15.0 k is connected between the terminals X and Y. Calculate the difference of the voltages between X and Y when the load resistor is present and when it is removed. Voltage difference = _________ V Examiner Only Marks Remark [4] (d) Answer (i) and (ii) below by ticking the appropriate boxes. When the load resistor between X and Y is decreased in magnitude, (i) the difference in voltage calculated in (c) would increase decrease not change [1] (ii) the current drawn from the battery would increase decrease not change [1] THIS IS THE END OF THE QUESTION PAPER 4658 15 [Turn over 531-010-1 0 GCE Physics (Advanced Subsidiary and Advanced) Data and Formulae Sheet Values of constants speed of light in a vacuum c = 3.00 108 m s 1 permeability of a vacuum 0 = 4 10 7 H m 1 permittivity of a vacuum 0 = 8.85 10 12 F m 1 1 = 8.99 109 F 1 m 4 0 ( ) elementary charge e = 1.60 10 19 C the Planck constant h = 6.63 10 34 J s unified atomic mass unit 1 u = 1.66 10 27 kg mass of electron me = 9.11 10 31 kg 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 on the Earth s surface g = 9.81 m s 2 electron volt 1 eV = 1.60 10 19 J ASY11INS ASY1W8 4658.02 USEFUL FORMULAE The following equations may be useful in answering some of the questions in the examination: Thermal physics Mechanics Momentum-impulse relation mv mu = Ft for a constant force Average kinetic energy of a molecule 1 m<c2> 2 Power P = Fv Kinetic theory pV = 1 Nm <c2> 3 Conservation of energy 1 mv 2 2 1 mu 2 = Fs 2 for a constant force Simple harmonic motion Displacement x = x0 cos t or x = x0 sin t Velocity v = x 0 2 x 2 Simple pendulum T = 2 l / g Loaded helical spring T = 2 m / k Medical physics Sound intensity level/dB = 10 lg10(I/I0) Sound intensity difference/dB = 10 lg10(I2/I1) Resolving power sin = / D Waves Capacitors Capacitors in parallel 11 1 1 = + + C C1 C 2 C 3 C = C1 + C2 + C3 Time constant = RC Capacitors in series Electromagnetism Magnetic flux density due to current in (i)i long straight (i)i solenoid B= (ii) long straight (i)i conductor B= = ay/d Diffraction grating 0I 2 a A.c. generator E = E0 sin t = BAN sin t Stress and Strain Hooke s law F = kx Strain energy E = <F > x (= 1 Fx = 1 kx 2 2 2 if Hooke s law is obeyed) Electricity Vout = R1Vin/(R1 + R2) A = N A = A0e t t1 = 0.693/ 2 Photoelectric effect 1 mv2 = max 2 de Broglie equation 1/u + 1/v = 1/ f Radioactive decay Half life Light ASY1W8 4658.02 l Alternating currents d sin = n Potential divider 0NI Particles and photons Two-slit interference Lens formula = 3 kT 2 = h /p Particle Physics Nuclear radius 1 r = r0 A3 hf hf0

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Additional Info : Gce Physics June 2008 Assessment Unit AS 1, Module 1: Forces and Electricity
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