Physics 9702/34 — October/November 2022

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

questions

marks

120

minutes

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

Q1Manipulation, Measurement and ObservationAnalysis, Conclusions and EvaluationPresentation of Data and ObservationsFree sample

In this experiment, you will investigate the stability of a cylinder.

(a)

(i)

● Use some of the sheets of paper to make a pile of approximate thickness 3 mm.
● Using the calipers, measure and record the thickness $T$ of the pile.

$T$ = ______

(ii)

● Position the apparatus on the bench as shown in Fig. 1.1.

Fig. 1.1

● Measure and record the width $w$ of the board, as shown in Fig. 1.1.

$w$ = ______

(b)

● Use the stand and clamp to hold the rule vertically on the bench.
● Slowly raise the end of the board, as shown in Fig. 1.2.

Fig. 1.2

● Measure and record the height $z$ of the raised end of the board when the bottle rolls over the pile of paper.

$z$ = ______

● Calculate $\theta$ using

\theta = \sin^{-1}\left(\frac{z}{w}\right)

$\theta$ = ______

(c)

Change the number of sheets of paper in the pile. Measure $T$ and $z$ . Repeat until you have six sets of values of $T$ and $z$ .

Record your results in a table. Include values of $\theta$ and $\cos \theta$ in your table.
Give your values of $\cos \theta$ to three significant figures.

(d)

(i)

Plot a graph of $\cos \theta$ on the $y$ -axis against $T$ 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)

It is suggested that the quantities $\theta$ and $T$ are related by the equation

\cos \theta = a - bT

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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Q2Manipulation, Measurement and Observation · Analysis, Conclusions and Evaluation · Presentation of Data and Observations20M

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