Physics 9702/33 — May/June 2017

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 motion of a chain of paper clips.

(a)

You have been provided with a chain of fifteen paper clips with a sphere of modelling clay attached to one end of the chain.

Measure and record the length $L$ of one paper clip as shown in Fig. 1.1.

Fig. 1.1

$L$ = ______

(b)

(i)

Set up the apparatus as shown in Fig. 1.2.

Fig. 1.2

The chain should be suspended from the nail.

The wooden rod should be positioned so that the chain, when hanging vertically, just touches the rod with 6 paper clips below the rod.

(ii)

Record the number $n$ of paper clips below the rod.

$n$ = ______

(c)

Move the sphere towards you through a distance of approximately $10\ \text{cm}$ .
Release the sphere. The chain will oscillate and hit the rod during these oscillations.

Determine the period $T$ of the oscillations.

$T$ = ______

(d)

Change $n$ by moving the wooden rod vertically and repeat (b)(ii) and (c) until you have six sets of values of $n$ and $T$ .

Record your results in a table. Include values of $\sqrt{n}$ to three significant figures in your table.

(e)

(i)

Plot a graph of $T$ on the $y$ -axis against $\sqrt{n}$ 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 = ______

(f)

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

T = P\sqrt{n} + Q

where $P$ and $Q$ are constants.

Using your answers in (e)(iii), determine the values of $P$ and $Q$ . Give appropriate units.

$P$ = ______

$Q$ = ______

(g)

Theory suggests that

P = \pi \sqrt{\frac{L}{g}}

where $g$ is the acceleration of free fall.

Use your values in (a) and (f) to determine a value for $g$ . Give an appropriate unit.

$g$ = ______

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