In this experiment, you will investigate the oscillations of a mass. (a) Set up the apparatus as shown in Fig. 1.1. Hang mass M from the string loop near the end of the metre rule. Ensure that the metre rule is pushing up against the rod of clamp A at approximately the 24 cm mark. The distance between the rod of clamp A and the string attached to the spring is $d$. Adjust the position of the stand holding the spring so that $d$ is approximately 30 cm. Adjust the height of…

Physics 9702/31 — May/June 2018

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 mass.

(a)

Set up the apparatus as shown in Fig. 1.1.

Fig. 1.1

Hang mass M from the string loop near the end of the metre rule.
Ensure that the metre rule is pushing up against the rod of clamp A at approximately the 24 cm mark.
The distance between the rod of clamp A and the string attached to the spring is $d$ . Adjust the position of the stand holding the spring so that $d$ is approximately 30 cm.
Adjust the height of the clamps until the rule is horizontal. Ensure that the spring is vertical.
Measure and record $d$ .

$d$ = ______

Measure and record $s$ .

$s$ = ______

(b)

$T$ = ______

(c)

Without moving the stands, slide the rule horizontally through the string loop so that $d$ remains constant but $s$ changes.
Adjust the height of the clamps until the rule is horizontal. Ensure that the spring is vertical.
Measure and record $s$ .

$s$ = ______

$T$ = ______

(d)

Vary $s$ and repeat (c) until you have five sets of values of $s$ and $T$ . You may include your previous sets of readings.

Record your results in a table. Include values of $T^2$ in your table.

(e)

(i)

Plot a graph of $T^2$ on the $y$ -axis against $s$ 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 = ______

(f)

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

T^2 = Ps + Q

where $P$ and $Q$ are constants.

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

$P$ = ______
$Q$ = ______

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

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