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GCE MAY 2008 : AS 3B Experimental and Investigative Skills (Session 2)

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Centre Number 71 Candidate Number ADVANCED SUBSIDIARY (AS) General Certificate of Education 2008 assessing Module 3B: Experimental and Investigative Skills Session No. 2 ASY33 Physics Assessment Unit AS 3B [ASY33] THURSDAY 15 MAY, MORNING TIME 1 hour 15 minutes. INSTRUCTIONS TO CANDIDATES Write your Centre Number and Candidate Number in the spaces provided at the top of this page. Turn to page 3 for further Instructions and Information. For Examiner s use only Question Number 1 2 Total Marks 4193 Marks BLANK PAGE 4193 2 [Turn over Instructions to Candidates Answer both the questions in this booklet. Rough work and calculations must also be done in this booklet. Except where instructed, do not describe the apparatus or experimental procedures. The Supervisor will tell you the order in which you are to answer the questions. Not more than 35 minutes are to be spent in answering each question. In Question 1, you must stop using the apparatus after 33 minutes so that it can be re-arranged for the next candidate. At the end of the 35-minute period you will be instructed to move to the area set aside for the next question. At the end of the Test a 5-minute period will be provided for you to complete the calculations, etc., in either of the questions of the Test, but you will not have access to the apparatus during this time. Information for Candidates The total mark for this paper is 45. Quality of written communication will be assessed in Question 2. Question 1 carries 25 marks, and Question 2 carries 20 marks. Figures in brackets printed down the right-hand side of pages indicate the marks awarded to each part question. 4193 3 [Turn over BLANK PAGE 4193 4 [Turn over 1 Introduction In this experiment you will investigate one of the quantities that affects the period of an oscillating system. Aims The aims of the experiment are (a) to obtain the period of oscillation of a mass suspended from a metre rule, by different arrangements of support threads, (b) to plot a graph from the experimental results, (c) to find the intercept and gradient of the graph, (d) to determine the acceleration of free fall g from the results. Apparatus Fig. 1.1 shows the apparatus, which has already been set up for you. A mass M is suspended from a metre rule on a thread which is attached to the metre rule at two points of suspension A and B. The suspension point A is fixed to the metre rule using Blu-tack. The distance AB between the points of suspension on the lower side of the metre rule is 0.40 m. This distance remains the same throughout the experiment. The length of thread from point A to the mass M is d, as shown in Fig. 1.1. The mass M can slide on the thread so that the distances MA and MB are equal to d. The length d may be altered by changing the length of the thread and refixing it to the metre rule using Blu-tack at suspension point A. When the mass M is displaced slightly in a plane perpendicular to AB it will oscillate as shown in the side view. A B 0.40 m Blu-tack d M Front view The distance AB remains fixed at 0.40 m throughout the experiment Side view Fig. 1.1 4193 5 [Turn over Procedure Examiner Only Marks Remark (a) Remove the Blu-tack from point A and adjust the length d to 0.50 m. Then replace the Blu-tack, making sure that the suspension points A and B remain fixed at 0.40 m apart. Ensure that distances MA and MB are equal. Displace the mass M perpendicularly to AB and release it so that it oscillates with small amplitude. Take suitable measurements to allow you to determine the period of oscillation T. Record your results in Table 1.1. Shorten the thread by 0.10 m at A, which will decrease d by 0.05 m so that d = 0.45 m and repeat the timing procedure. Ensure that the distances MA and MB are equal. Obtain a further three sets of results so that you have a total of five sets of results recorded in Table 1.1. Table 1.1 Distance between point of suspension and M d/m T/s T 4/_ d 2/_ 0.50 0.45 [7] 4193 6 [Turn over (b) Calculate the minimum percentage uncertainty in your measurements of d. Examiner Only Marks Remark Minimum percentage uncertainty = ______________ % [2] (c) The period of oscillation T is related to the distance d by Equation 1.1. T4 = 16 4 2 0.64 4 d g2 g2 Equation 1.1 (i) Write appropriate units in the headings of the columns for T 4 and d 2 in Table 1.1. [1] (ii) Calculate the values of T 4 and d 2 and insert these in the appropriate columns in Table 1.1. [2] (iii) You are to plot a graph of T 4 on the y-axis against d 2 on the x-axis on the graph grid of Fig. 1.2. Label the axes of your graph and choose suitable scales. Plot the points and draw the best straight line through them. [5] 4193 7 [Turn over Fig. 1.2 4193 8 [Turn over (d) (i) Find the gradient of your graph and state its units. Examiner Only Marks Remark Gradient = ________________ Units of gradient: ________________ [4] (ii) Use your gradient to calculate a value for the acceleration of free fall g. g = ______________ m s 2 [2] (iii) Explain how, using Equation 1.1, a second value of g could be obtained from your graph. ______________________________________________________ ______________________________________________________ ______________________________________________________ ______________________________________________________ ___________________________________________________ [2] 4193 9 [Turn over Where appropriate, your answer to this question should be in continuous prose. You will be assessed on the quality of your written communication. 2 Examiner Only Marks Remark Planning and design question Introduction This question is about investigating the factors that affect the size of the impact crater formed when a ball bearing is dropped onto sand. You have been supplied with ball bearings of different mass and a tray of sand onto which they can be dropped. (a) Drop the ball bearings one at a time onto the sand from a height of approximately 20 cm and observe the impact crater formed. The diameter D of the crater is thought to depend on the impact velocity v of the ball bearing according to Equation 2.1. 1 D = kv 2 Equation 2.1 The quantity k is a constant. (i) The diameter of the impact crater formed could be measured using a metre rule. Describe how you would ensure the measurement of diameter, using the rule, is reliable. ______________________________________________________ ______________________________________________________ ___________________________________________________ [2] (ii) What instrument could you use to make the measurement of diameter more accurate? ___________________________________________________ [1] (iii) What is the uncertainty when using the measuring instrument you have named? ___________________________________________________ [1] 4193 10 [Turn over (b) Using common laboratory apparatus it would be difficult to obtain an accurate value for the impact velocity v. Using the principle of conservation of energy, derive an equation that relates the impact velocity v to the height h from which the ball bearing is dropped and the acceleration of free fall g. Examiner Only Marks Remark v = ____________ [2] 4193 11 [Turn over (c) Describe an experiment to investigate how the impact velocity of the ball bearing you have been given affects the diameter of the impact crater it produces. Examiner Only Marks Remark You should include in your answer: what factor you will change to get a range of impact velocities the quantities you will measure and how you will measure them any factors that need to be controlled how you will make your results reliable (You do not need to describe how you will ensure reliability of the diameter of the impact crater since this was covered in (a)(i).) _________________________________________________________ _________________________________________________________ _________________________________________________________ _________________________________________________________ _________________________________________________________ _________________________________________________________ _________________________________________________________ _________________________________________________________ _________________________________________________________ _________________________________________________________ _________________________________________________________ ______________________________________________________ [7] Quality of written communication 4193 [1] 12 [Turn over (d) Describe two methods of showing, from your results, whether or not Equation 2.1 is valid. One method should make use of a graph, the other should be non-graphical. Examiner Only Marks Remark Graphical method: _________________________________________________________ _________________________________________________________ _________________________________________________________ ______________________________________________________ [2] Non-graphical method: _________________________________________________________ _________________________________________________________ _________________________________________________________ ______________________________________________________ [2] (e) The constant k depends on the surface on to which the ball bearing is dropped. Give two properties of the surface that could affect the size of crater formed. 1. _______________________________________________________ 2. ____________________________________________________ [2] THIS IS THE END OF THE QUESTION PAPER 4193 13 [Turn over S 12/07 528-010-1

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Additional Info : Gce Physics May 2008 Assessment Unit AS 3B, Module 3B: Experimental and Investigative Skills (Session 2)
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