Physics 9702/33 — February/March 2016

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 behaviour of a sphere rolling across a sloping board.

(a)

Pass the thread through the hole in the board and clip it in place with the spring clip. Set up the apparatus as shown in Fig. 1.1, with the board at an angle of approximately $45^{\circ}$ to the bench. The length of the thread between the spring clip and the sphere should be approximately $20\text{ cm}$ .

Fig. 1.1

(b)

(i)

Measure and record the angle $\theta$ between the board and the bench, as shown in Fig. 1.2.

Fig. 1.2

$\theta$ = ______

(ii)

Push the sphere to one side. Release the sphere so that it oscillates from side to side.

(iii)

Take measurements to find the period $T$ of the oscillations.
Record $T$ .

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

(c)

Change $\theta$ by moving the boss and clamp and repeat (b) until you have six sets of values for $\theta$ and $T$ . Do not change the length of the thread between the sphere and the spring clip.

Include values for $\frac{1}{T^3}$ in your table.

(d)

(i)

Plot a graph of $\theta$ on the $y$ -axis against $\frac{1}{T^3}$ 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

\theta = \frac{a}{T^3} + b

where $a$ and $b$ are constants.

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

$a$ = ______
$b$ = ______

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