Physics 9702/34 — May/June 2011

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 ObservationPresentation of Data and ObservationsAnalysis, Conclusions and EvaluationFree sample

In this experiment, you will investigate the angle through which a loaded beaker rolls as a turning force is applied.

(a)

The apparatus has been assembled as shown in Fig. 1.1.

Fig. 1.1

(b)

Make sure that the beaker is positioned so that the masses do not touch the rails.

(c)

Using the set square, measure and record the angle $x$ , as shown in Fig. 1.2.

Fig. 1.2

$x$ = ______

(d)

(i)

Hook the mass hanger on the string loop. Record the mass $m$ that is suspended from the loop.

$m$ = ______

(ii)

Wait for the beaker to stop moving, making sure that the beaker is positioned so that the masses do not touch the rails.

(iii)

Using the set square, measure and record the angle $y$ , as shown in Fig. 1.3.

Fig. 1.3

$y$ = ______

(iv)

Calculate $\theta$ , where $\theta = y - x$ .

$\theta$ = ______

(e)

Change $m$ by adding masses to the hanger and repeat (d)(ii), (d)(iii) and (d)(iv).
Repeat this procedure until you have six sets of values for $m$ (the total suspended mass) and angle $y$ .
Include in your table values for $\theta$ (using your answer from (c)) and $\sin \theta$ .

(f)

(i)

Plot a graph of $\sin \theta$ on the $y$ -axis against $m$ 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 = ______

(g)

(i)

Unhook the masses from the string loop and remove the beaker from the rails.

(ii)

Take measurements to determine the radius $r$ of the beaker.

$r$ = ______

(h)

It is suggested that the relationship between $\theta$ and $m$ is

\sin \theta = \frac{r m}{a} + b

where $a$ and $b$ are constants.

Using your answers from (f)(iii) and (g)(ii), determine the value of $a$ . Give an appropriate unit.

$a$ = ______

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