Physics 9702/36 — October/November 2021

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

Q120MManipulation, Measurement and ObservationPresentation of Data and ObservationsAnalysis, Conclusions and EvaluationFree sample

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

(a)

(i)

● Assemble the apparatus as shown in Fig. 1.1 with the nail held securely in the boss.

Fig. 1.1

● Hang the mass labelled M midway between the nail and the end of the strip.
● Adjust the height of the boss so that the strip is parallel to the bench.
● Move the weight so that the spring is vertical.
● $L$ is the distance between the nail and the string loop attached to M, as shown in Fig. 1.1.

Measure and record $L$ .

$L$ = ______

(ii)

● Pull the free end of the strip down by approximately 2 cm. Release the strip so that it oscillates.
● Take measurements to determine the period $T$ of the oscillations.

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

(b)

● Move M along the strip and adjust the apparatus so that the strip is parallel to the bench.
● Measure $L$ and determine $T$ .
● Repeat until you have six sets of values of $L$ and $T$ .
Record your results in a table. Include values of $L^2$ and $T^2$ in your table.

(c)

(i)

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

(d)

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

T^2 = aL^2 + b

where $a$ and $b$ are constants.

Use your answers in (c)(iii) to determine the values of $a$ and $b$ .
Give appropriate units.

$a$ = ______
$b$ = ______

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