f4 mid-year '09 p3

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Section A [28 marks] Answer all questions in this section. The time suggested to complete this section is 60 minutes. 1 A student carries out an experiment to find out the relationship between mass, m, and the oscillation period, T, of an inertia balance. A piece of jigsaw blade is clamped at one end and a plasticine ball with mass 10.0g is fixed at the other end. The distance from the plasticine ball to the clamp is 20.0cm. The arrangement of the apparatus for the experiment is shown in Figure 1.1. Figure 1.1 The jigsaw blade is displaced horizontally to one side and then released so that it oscillates. The time for 10 oscillations, t 1 , is taken using a stop watch. The jigsaw blade is oscillated again to obtain the time for 10 oscillations, t 2 , for the second time. The actual readings of t 1 and t 2 are shown in Figure 1.2. Page | 2

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Page 1: F4 mid-year '09 P3

Section A[28 marks]

Answer all questions in this section.The time suggested to complete this section is 60 minutes.

1 A student carries out an experiment to find out the relationship between mass, m, and the oscillation period, T, of an inertia balance. A piece of jigsaw blade is clamped at one end and a plasticine ball with mass 10.0g is fixed at the other end. The distance from the plasticine ball to the clamp is 20.0cm. The arrangement of the apparatus for the experiment is shown in Figure 1.1.

Figure 1.1

The jigsaw blade is displaced horizontally to one side and then released so that it oscillates. The time for 10 oscillations, t1, is taken using a stop watch. The jigsaw blade is oscillated again to obtain the time for 10 oscillations, t2, for the second time. The actual readings of t1 and t2 are shown in Figure 1.2.

The experiment is repeated by using plasticine balls with masses 20.0g, 30.0g, 40.0g, and 50.0g. The readings of the stop watch are shown in Figures 1.3, 1.4, 1.5 and 1.6.

The period of oscillation, T, of the jigsaw blade is given by the following equation :

T = tmean

10

Where tmean = t1 + t2

2

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a) For the experiment described on previous page, identify ;i) the manipulated variable,

[1 mark]

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ii) the responding variable,

[1 mark]iii) a constant variable.

[1 mark]

b) Based on Figures 1.2, 1.3, 1.4, 1.5 and 1.6, determine t1, t2, tmean, T and T2 when m is equal to 10.0g, 20.0g, 40.0g, and 50.0g. Then, tabulate your results for t1, t2, tmean, T and T2 for each value of m in the space below.

[7 marks]

c) On the graph paper, plot a graph of T2 against m.[5 marks]

d) Use your graph to state the relationship between T and m.

[1 mark]

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2 A student carried out an experiment to investigate the relationship between the volume, V and height, H of water in a measuring cylinder. The results of the experiment is shown in the graph of H against V as in Figure 1.7

Figure 1.7

a) Based on the graph in Figure 1.7,i) what happens to H when V increases?

[1 mark]

ii) determine the value of height, H when the volume, V = 70 cm3. Show on the graph, how you determine H.

[2 marks]

iii) state the relationship between H and V.

[1 mark]

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b) The cross-sectional area of the measuring cylinder is given by

A = VH

i) Calculate the gradient of the graph H against V.Show on the graph how you determine the gradient.

[3 marks]

ii) Using the value from (b)(i), calculate the cross-sectional area, A of the measuring cylinder.

[2 marks]

iii) Given A = 10 cm2 and V = 400 cm3, calculate the value of H in cm.

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[2 marks]c) State one precaution that should be taken during the experiment.

[1 mark]

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Section B[12 marks]

Answer any one question from this section.The time suggested to complete this section is 30 minutes.

3 Figure 1.5 shows a girl playing on two different swings. The swing in Figure 1.5(a) is longer than the swing in Figure 1.5(b).

a) Make one suitable inference about the situation. [1 mark]

b) State one appropriate hypothesis for investigation. [1 mark]

c) With the use of apparatus such as a simple pendulum, a digital stopwatch and others, describe an experimental framework to test your hypothesis.In your description, state clearly the following :i) Aim of the experimentii) Variables in the experimentiii) List of the apparatus and materialsiv) Arrangement of the apparatusv) The procedure of the experiment, which include the method of controlling the

manipulated variable and the method of measuring the responding variablevi) The way you would tabulate your datavii) The way you would analyse your data

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[10 marks]

4 The figure below shows a girl and her mother each sit on similar swings. If they are given a push, it is found that the mother will be more difficult to be moved.

Based on the information and observation,

a) Make one suitable inference. [1 mark]

b) State one appropriate hypothesis that could be investigated. [1 mark]

c) With the use of apparatus such as hacksaw blade, plasticine and other apparatus, describe an experimental framework to test your hypothesis.

In your description, state clearly the following :

i) Aim of the experiment,ii) Variables in the experiment,iii) List of apparatus and materials,iv) Arrangement of the apparatus,v) The procedures of the experiment, which includes the method of controlling

the manipulated variable and the method of measuring the responding variable,

vi) The way you would tabulate the data,vii) The way you would analyse the data.

[10 marks]

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