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GCE JUN 2009 : AS 1 Forces, Energy and Electricity - Revised

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Sp ec Ne i w ca tio n Centre Number 71 Candidate Number ADVANCED SUBSIDIARY (AS) General Certificate of Education 2009 Physics Module 1: Forces, Energy and Electricity AY111 Assessment Unit AS 1 [AY111] TUESDAY 16 JUNE, AFTERNOON TIME 1 hour 30 minutes. INSTRUCTIONS TO CANDIDATES Write your Centre Number and Candidate Number in the spaces provided at the top of this page. Answer all questions. Write your answers in the spaces provided in this question paper. INFORMATION FOR CANDIDATES The total mark for this paper is 75. Quality of written communication will be assessed in question 5. Figures in brackets printed down the right-hand side of pages indicate the marks awarded to each question. Your attention is drawn to the Data and Formulae Sheet which is inside this question paper. You may use an electronic calculator. For Examiner s use only Question Marks Number 1 2 3 4 5 6 7 Total Marks 4875 If you need the values of physical constants to answer any questions in this paper, they may be found in the Data and Formulae Sheet. Examiner Only Marks Remark Answer all seven questions. 1 (a) Physical quantities may be classified as vectors or scalars. (i) Explain what is meant by a scalar quantity. _______________________________________________________ [1] (ii) There are six physical quantities listed below. Indicate which of the physical quantities are vectors by placing a tick ( ) in the box corresponding to the quantity. Kinetic energy Displacement Voltage Mass Force Power 4875 [2] 2 [Turn over (b) Two tugs are used to rescue a ship which has lost engine power and is close to some rocks. The tugs just manage to hold the ship stationary against a current producing a force on the ship. Examiner Only Marks Remark The force that tug A exerts on the ship is 200 kN to the North. Tug B exerts a force of 140 kN to the West. Find, by scale drawing or calculations, the magnitude F and direction of the resultant of these two forces on the ship. N W E S Fig. 1.1 Force F = ____________ kN Direction = ____________ relative to E W line. 4875 3 [4] [Turn over 2 (a) (i) State how to calculate the moment of a force about a point. Examiner Only Marks Remark _________________________________________________________ _________________________________________________________ _______________________________________________________ [2] (ii) Name the SI unit of the moment of a force. _______________________________________________________ [1] (iii) State the principle of moments. _________________________________________________________ _________________________________________________________ _______________________________________________________ [2] (b) Fig. 2.1 shows a stationary wheelbarrow being supported by a gardener who applies a vertical force of 50 N at the end of the handles. The weight of the wheelbarrow and contents is 175 N. The force applied to the handles acts at a horizontal distance of 1.40 m from the point of contact of the wheel with the ground. 50 N Centre of gravity Handle Ground 1.40 m 175 N Fig. 2.1 4875 4 [Turn over (i) Another force acts on the wheelbarrow at the wheel. State the magnitude and direction of this force. Examiner Only Marks Remark Magnitude = ______________N Direction _________________ [2] (ii) Calculate the horizontal distance from the centre of gravity to the end of the handle. Distance = ________________m 4875 [3] 5 [Turn over 3 A rugby ball is kicked over the crossbar between the goal-posts from a position 25 m directly in front of the posts as shown in Fig. 3.1. Examiner Only Marks Remark Ball H Crossbar Goal line Ground 25 m Fig. 3.1 The ball reaches maximum height H above the ground at a position vertically above the crossbar. It takes 1.4 seconds to reach this maximum height. Assume air resistance is negligible. (a) (i) Calculate the horizontal component of velocity at the instant the ball leaves the kicker s foot. Horizontal component = _______________ m s 1 4875 6 [2] [Turn over (ii) Calculate the vertical component of velocity at the instant the ball is kicked. Vertical component = _______________ m s 1 Examiner Only Marks Remark [2] (b) (i) Use your answers to part (a) to find the magnitude of the initial velocity after the ball is kicked. Velocity = _______________ m s 1 [2] (ii) Find the angle above the horizontal at which the ball is kicked. Angle = _______________ [2] (iii) Find the maximum height H reached by the ball. H = _______________ m 4875 [3] 7 [Turn over 4 (a) (i) Draw and label an experimental arrangement which could be used to measure the Young modulus of the material of a long wire. Examiner Only Marks Remark [2] (ii) List the measurements you would make, and state the instruments you would use to take the readings. _________________________________________________________ _________________________________________________________ _________________________________________________________ _______________________________________________________ [3] (iii) Explain how you would determine the Young modulus from your series of experimental results. _________________________________________________________ _________________________________________________________ _________________________________________________________ _________________________________________________________ _________________________________________________________ _________________________________________________________ _______________________________________________________ [4] 4875 8 [Turn over (b) Three identical light springs each have an unstretched length of 120 mm and a spring constant k of 300 N m 1. In the calculations that follow, all extensions are within the limit of proportionality of the springs. Examiner Only Marks Remark (i) The springs are first joined in parallel, with a light rod attached to their lower ends. The upper ends are attached to a firm support, as shown in Fig. 4.1. Rod 1.80 kg Fig. 4.1 A mass of 1.80 kg is attached to the rod. Calculate the distance h the rod moves down. h = __________ mm 4875 [3] 9 [Turn over (ii) The springs are now disconnected from the rod and joined end-to-end, as shown in Fig. 4.2. Examiner Only Marks Remark 1.80 kg Fig. 4.2 A mass of 1.80 kg is attached to the lower end of the spring combination. Calculate the distance H the lower end of the bottom spring moves down. H = __________ mm 4875 [2] 10 [Turn over Where appropriate in this question you should answer in continuous prose. You will be assessed on the quality of your written communication. 5 Examiner Only Marks Remark (a) Terms often used in describing an electrical power source, such as a battery, are terminal potential difference and electromotive force (e.m.f.). Write a short explanation of these terms and when it is appropriate to use them. _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ ___________________________________________________________ [2] (b) (i) What is meant by the internal resistance of an electrical power source? _________________________________________________________ _______________________________________________________ [1] (ii) Describe an experiment to determine the internal resistance of a battery. Include a circuit diagram. Show how a value of the internal resistance can be obtained from the series of experimental results. Show also how the e.m.f. of the battery can be obtained. Circuit diagram [2] 4875 11 [Turn over Description of experiment: Examiner Only Marks Remark _________________________________________________________ _________________________________________________________ _________________________________________________________ _______________________________________________________ [2] Analysis of results to determine internal resistance: _________________________________________________________ _________________________________________________________ _________________________________________________________ _________________________________________________________ _________________________________________________________ _______________________________________________________ [3] Determination of e.m.f.: _______________________________________________________ [1] Quality of written communication 4875 [2] 12 [Turn over 6 Fig. 6.1 shows a heating element as used in the rear window of a car. It consists of six strips of resistive material, joined by strips of copper of negligible resistance. The voltage applied to the heater is 14.2 V when the engine is running. The total current delivered to the heater by the battery is 8.4 A. Copper strips Examiner Only Marks Remark Resistive material strips Fig. 6.1 (a) (i) Calculate the total resistance of the element. Resistance = ____________ [2] (ii) Calculate the power delivered by the battery to the heating element. Power = ____________ W 4875 [2] 13 [Turn over (b) (i) Calculate the resistance of one of the strips of resistive material. Examiner Only Marks Resistance = ____________ Remark [1] (ii) Each strip is 1.05 m long and has a rectangular cross-section of 2.0 mm by 0.15 mm. Calculate the resistivity of the material from which the strip is made. State the appropriate unit. Resistivity = _____________ Unit = _____________ [4] (c) The heating element has six strips connected in parallel. Suggest two reasons why this arrangement is preferable to connecting the same strips in series. 1. ___________________________________________________________ _____________________________________________________________ 2. ___________________________________________________________ ___________________________________________________________ [3] 4875 14 [Turn over 7 A battery of e.m.f. 12 V and negligible internal resistance is connected to a resistor network, as shown in the circuit diagram in Fig. 7.1. 20 Examiner Only Marks Remark 24 A B 60 48 R 12 V Fig. 7.1 (a) Show clearly that the resistance of the single equivalent resistor that could replace the four resistors between the points A and B is 31 . [3] (b) The current delivered by the battery is 300 mA. Calculate the total circuit resistance. Total resistance = ____________ [2] (c) Hence find the value of the resistance of the resistor R. Resistance of R = ____________ [1] (d) Find the current in the 48 resistor. Current = ____________ mA 4875 [2] 15 [Turn over Permission to reproduce all copyright material has been applied for. In some cases, efforts to contact copyright holders may have been unsuccessful and CCEA will be happy to rectify any omissions of acknowledgement in future if notified. 936-031-1 GCE Physics Data and Formulae Sheet Values of constants speed of light in a vacuum c = 3.00 108 m s 1 elementary charge e = 1.60 10 19 C the Planck constant h = 6.63 10 34 J s mass of electron me = 9.11 10 31 kg mass of proton mp = 1.67 10 27 kg acceleration of free fall on the Earth s surface g = 9.81 m s 2 electron volt 1 eV = 1.60 10 19 J Useful formulae The following equations may be useful in answering some of the questions in the examination: Mechanics Conservation of energy 1 mv 2 2 1 mu 2 = Fs 2 Hooke s Law F = kx (spring constant k) Sound intensity level/dB = 10 lg10 Two-source interference = for a constant force Sound Waves I I0 ay d Light Lens formula Magnification 111 += uvf v m= u Electricity Terminal potential difference Potential divider V = E Ir (E.m.f. E; Internal Resistance r) R1Vin Vout = R1 + R2 Particles and photons de Broglie equation = h p AY111INS 4875.02

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Additional Info : Gce Physics June 2009 Assessment Unit AS 1, Module 1: Forces, Energy and Electricity - Revised
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