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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Subsidiary Level and Advanced Level * 6 0 3 2 9 8 6 3 4 8 * PHYSICS…
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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Subsidiary Level and Advanced Level * 6 0 3 2 9 8 6 3 4 8 * PHYSICS 9702/31 Paper 3 Advanced Practical Skills 1 May/June 2012 2 hours Candidates answer on the Question Paper. Additional Materials: As listed in the Confidential Instructions. READ THESE INSTRUCTIONS FIRST Write your Centre number, candidate number and name on all work you hand in. Write in dark blue or black pen. You may use a soft pencil for any diagrams, graphs or rough working. Do not use staples, paper clips, highlighters, glue or correction fluid. DO NOT WRITE IN ANY BARCODES. Answer both questions. You will be allowed to work with the apparatus for a maximum of one hour for each question. You are expected to record all your observations as soon as these observations are made, and to plan the presentation of the records so that it is not necessary to make a fair copy of them. You may lose marks if you do not show your working or if you do not use appropriate units. Additional answer paper and graph paper should be used only if it becomes necessary to do so. You are reminded of the need for good English and clear presentation in your answers. 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. For Examiner’s Use 1 2 Total This document consists of 11 printed pages and 1 blank page. DC (AC/SW) 48427/6 © UCLES 2012 [Turn over 2 BLANK PAGE © UCLES 2012 9702/31/M/J/12 3 You may not need to use all of the materials provided. For Examiner’s Use 1 In this experiment, you will investigate how the motion of a pendulum whose swing is interrupted depends on its length. (a) (i) Lay the pendulum next to the rule and use the pen to make a mark on the string so that the distance L is 0.180 m, as shown in Fig. 1.1. mark bob string L = 0.180 m metre rule Fig. 1.1 © UCLES 2012 9702/31/M/J/12 [Turn over 4 (ii) Set up the apparatus, fixing the string in the split bung so that the string is just For touching the wooden rod at the mark you have made. Examiner’s Use Fig. 1.2 shows a side view and a front view of the apparatus. split bung in clamp stand string x wooden rod x mark L L bob 5 cm bench side view front view Fig. 1.2 The centre of the bob should be approximately 5 cm above the bench. The distance x between the bottom of the bung and the centre of the bob should be approximately 55 cm. The mark on the string should be level with the centre of the rod. (iii) Measure and record the distance x. x = ............................................. m [1] © UCLES 2012 9702/31/M/J/12 5 (b) (i) Move the bob sideways through a distance of approximately 5 cm, as shown in For Fig. 1.3. Examiner’s Use wooden rod 5 cm Fig. 1.3 (ii) Release the bob and watch its movement. The bob will move to the right and then to the left again completing a swing, as shown in Fig. 1.4. Let the pendulum swing to and fro, counting the number of swings. one complete swing Fig. 1.4 Measure and record the time for at least 10 consecutive swings. Record enough readings to determine an accurate value for the time T taken for one complete swing. T = .................................................. [2] © UCLES 2012 9702/31/M/J/12 [Turn over 6 (c) Reduce the distance x. Keep L constant, by adjusting the height of the wooden rod if For necessary. Repeat (a)(iii) and (b) until you have six sets of values of x and T. Examiner’s Use Include values of x in your table. [9] (d) (i) Plot a graph of T on the y-axis against x on the x-axis. [3] (ii) Draw the straight line of best fit. [1] (iii) Determine the gradient and y-intercept of this line. gradient = ...................................................... y-intercept = ...................................................... [2] © UCLES 2012 9702/31/M/J/12 7 For Examiner’s Use © UCLES 2012 9702/31/M/J/12 [Turn over 8 (e) The quantities T and x are related by the equation For Examiner’s T= P x +Q Use where P and Q are constants. Using your answers from (d)(iii), determine the values of P and Q. Give appropriate units. P = ...................................................... Q = ...................................................... [2] © UCLES 2012 9702/31/M/J/12 9 You may not need to use all of the materials provided. For Examiner’s Use 2 In this experiment, you will investigate how the force required to pull a block up an inclined plane depends on the angle between the inclined plane and the bench. (a) (i) Place the board on the bench. (ii) Place the block with attached masses on the board, and attach the newton-meter as shown in Fig. 2.1. masses newton-meter block board bench Fig. 2.1 (iii) Gently pull the newton-meter until the block just starts to move. Measure and record the reading F0 on the newton-meter, at the instant the block just starts to move. F0 = ................................................. [2] (iv) Estimate the percentage uncertainty in your value of F0. percentage uncertainty = ................................................. [1] F0 (v) Calculate μ where μ = . W W is the value of the weight of the block and masses written on the card. μ = ................................................. [1] © UCLES 2012 9702/31/M/J/12 [Turn over 10 (b) (i) Place the board and supporting block as shown in Fig. 2.2. The longer edge of the For supporting block should be vertical. Examiner’s Use board longer edge of supporting block e Fig. 2.2 (ii) Using the protractor, measure and record the angle θ between the board and the bench. θ = ................................................ [1] (iii) Using your values from (a)(v) and (b)(ii), calculate (sin θ + μ cos θ ). (sin θ + μ cos θ ) = ................................................. [1] (c) (i) Place the block with masses on the board and attach it to the newton-meter, as shown in Fig. 2.3. Fig. 2.3 (ii) Pull the newton-meter until the block just starts to move. Measure and record the reading F on the newton-meter. F = ................................................. [1] © UCLES 2012 9702/31/M/J/12 11 (d) Place the supporting block as shown in Fig. 2.4 with a shorter edge vertical. For Examiner’s Repeat (b)(ii), (b)(iii) and (c). Use Fig. 2.4 θ = ...................................................... (sin θ + μ cos θ ) = ...................................................... F = ...................................................... [3] (e) It is suggested that the relationship between F and θ is F = k (sin θ + μ cos θ ) where k is a constant and μ is the value calculated in (a)(v). (i) Using your data, calculate two values of k. first value of k = ...................................................... second value of k = ...................................................... [1] (ii) Explain whether your results support the suggested relationship. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .............................................................................................................................. [1] © UCLES 2012 9702/31/M/J/12 [Turn over 12 (f) (i) Describe four sources of uncertainty or limitations of the procedure for this For experiment. Examiner’s Use 1. ............................................................................................................................... .................................................................................................................................. 2. ............................................................................................................................... .................................................................................................................................. 3. ............................................................................................................................... .................................................................................................................................. 4. ............................................................................................................................... .................................................................................................................................. [4] (ii) Describe four improvements that could be made to this experiment. You may suggest the use of other apparatus or different procedures. 1. ............................................................................................................................... .................................................................................................................................. 2. ............................................................................................................................... .................................................................................................................................. 3. ............................................................................................................................... .................................................................................................................................. 4. ............................................................................................................................... .................................................................................................................................. [4] Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity. University of Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge. © UCLES 2012 9702/31/M/J/12
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