CAIE Physics (9702)

In this experiment, you will investigate the oscillations of a pendulum. stand stringsphere of adhesive putty boss bench wooden blocks clamp and the centre of the adhesive putty. Adjust the length of the string so that L is approximately 53 cm. L = cm [1] the vertical string of the pendulum just touches against the wooden rod, as shown in Fig. 1.2. wooden rod boss rod is S. Adjust the position of the wooden rod so that S is approximately 36 cm. S = cm (L - S) = cm rod. Release the adhesive putty. The string hits the rod as the pendulum oscillates. T = s

Change S in the range 5.0 cm G S G 45.0 cm by adjusting the position of the wooden rod. Determine T. Repeat until you have six sets of values of S and T. Record your results in a table. Include values of ()LS- in your table.

(i) Plot a graph of T on the y-axis against ()LS- on the x-axis.

Draw the straight line of best fit.

Determine the gradient and y-intercept of this line. gradient = y-intercept =

(i) It is suggested that the quantities T, L and S are related by the equation ()TA LS B+=- where A and B are constants. Using your answers in (d)(iii), determine the values of A and B. Give appropriate units. A = B =

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Theory suggests that where g is the acceleration of free fall. Use your answer in (e)(i) to determine a value for g. Give an appropriate unit. g = [1] [Total: 20] You may not need to use all of the materials provided.

In this experiment, you will investigate a wooden strip resting at an angle. Fig. 2.1 (not to scale) The dimensions of the strip are x, y and z. Measure and record x, y and z. x = m y = m z = m V = xyz. Calculate V. V = m

Justify the number of significant figures that you have given for your value of V. bench wooden strip rod of clamp boss stand 1 cm 30 cm ruler secured by adhesive putty Fig. 2.2 (not to scale) above the bench. Fig. 2.2. strip on the rod and adjust the position of the stand so that the distance between the rod and R is approximately 5 cm. d between the lower end of the wooden strip and the centre of the mass is approximately 0.15 m, as shown in Fig. 2.3. mass ruler adhesive putty d = m [1] strip, as shown in Fig. 2.4. newton meter loop adhesive putty strip from the rod. F = N

Estimate the percentage uncertainty in your value of F. Show your working. percentage uncertainty = % [1] d = m F = N

It is suggested that the relationship between F, x and d is FxWdk+= where W is the weight of the mass and has the value 0.49 N, and k is a constant. Using your data, calculate two values of k. first value of k = second value of k =

It is suggested that the percentage uncertainty in the values of k is 15%. Using this uncertainty, explain whether your results support the relationship in (c).

Theory suggests thatk = ρgVx where g is 9.8 N kg and ρ is the density of the wood. Use your second value of k and values from (a)(i) to determine ρ. Give an appropriate unit. ρ = [1] 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. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cambridgeinternational.org after the live examination series. Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge.

(i) Describe four sources of uncertainty or limitations of the procedure for this experiment. For any uncertainties in measurement that you describe, you should state the quantity being measured and a reason for the uncertainty. 1 2 3 4

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] [Total: 20]