Physics 9702/33 — October/November 2023

Cambridge AS Level · Advanced Practical Skills · worked solutions for every part, with the mark scheme

questions

marks

120

minutes

Topics Manipulation, Measurement and Observation · Presentation of Data and Observations · Analysis, Conclusions and Evaluation

Q1Manipulation, Measurement and ObservationPresentation of Data and ObservationsAnalysis, Conclusions and EvaluationFree sample

In this experiment, you will investigate the oscillations of a pendulum.

(a)

● Set up the apparatus as shown in Fig. 1.1.

Fig. 1.1

● The length $L$ of the pendulum is the distance between the bottom of the wooden blocks and the centre of the adhesive putty.

Adjust the length of the string so that $L$ is approximately $53\text{ cm}$ .

● Measure and record $L$ .

$L$ = ______ $\text{cm}$

(b)

● Use the second boss to attach the wooden rod to the stand. Adjust the apparatus until the vertical string of the pendulum just touches against the wooden rod, as shown in Fig. 1.2.

Fig. 1.2

● The distance between the bottom of the wooden blocks and the centre of the wooden rod is $S$ .

Adjust the position of the wooden rod so that $S$ is approximately $36\text{ cm}$ .

● Measure and record $S$ .

$S$ = ______ $\text{cm}$

● Calculate $(L - S)$ .

$(L - S)$ = ______ $\text{cm}$

● Move the adhesive putty a small distance so that the string moves away from the wooden rod. Release the adhesive putty. The string hits the rod as the pendulum oscillates.

● Take measurements to determine the period $T$ of the oscillations.

$T$ = ______ $\text{s}$

(c)

Change $S$ in the range $5.0\text{ cm} \leq S \leq 45.0\text{ cm}$ 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 $\sqrt{(L - S)}$ in your table.

(d)

(i)

Plot a graph of $T$ on the $y$ -axis against $\sqrt{(L - S)}$ on the $x$ -axis.

(ii)

Draw the straight line of best fit.

(iii)

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

gradient = ______

$y$ -intercept = ______

(e)

(i)

It is suggested that the quantities $T$ , $L$ and $S$ are related by the equation

T = A\sqrt{(L - S)} + B

where $A$ and $B$ are constants.

Using your answers in (d)(iii), determine the values of $A$ and $B$ . Give appropriate units.

$A$ = ______

$B$ = ______

(ii)

Theory suggests that

A = \frac{\pi}{\sqrt{g}}

where $g$ is the acceleration of free fall.

Use your answer in (e)(i) to determine a value for $g$ . Give an appropriate unit.

$g$ = ______

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Q2Manipulation, Measurement and Observation · Presentation of Data and Observations · Analysis, Conclusions and Evaluation20M

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