Physics 9702/32 — May/June 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 motion of a suspended card shape.

(a)

Set up the apparatus as shown in Fig. 1.1.
Suspend the card from the pin held in the split cork. Ensure that the pin is parallel to the bench. Suspend the plumb-line from the pin.

Fig. 1.1

(b)

(i)

Measure and record the angle $\theta$ between the edge of arm B and the plumb-line, as shown in Fig. 1.1.

$\theta$ = ______

(ii)

Remove the plumb-line from the pin.

(iii)

Displace arm B approximately $2\text{ cm}$ to one side and release it so that the card oscillates.

(iv)

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

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

(c)

(i)

Decrease the length of arm B by cutting approximately $3\text{ cm}$ off its end.

(ii)

Replace the plumb-line and repeat (b).

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

(d)

Continue to decrease the length of arm B.
For each length of arm B, repeat (b) until you have six sets of values for $\theta$ and $T$ .

You may include your values from (b) and (c).

Include values for $\frac{1}{\sqrt{\tan \theta}}$ in your table.

(e)

(i)

Plot a graph of $T$ on the $y$ -axis against $\frac{1}{\sqrt{\tan \theta}}$ 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)

The quantities $T$ and $\theta$ are related by the equation

T = \frac{p}{\sqrt{\tan \theta}} + q

where $p$ and $q$ are constants.

Use your answers from (e)(iii) to determine the values of $p$ and $q$ .
Give appropriate units.

$p$ = ______
$q$ = ______

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