Physics 9702/34 — October/November 2015

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 forces in equilibrium.

(a)

Assemble the apparatus as shown in Fig. 1.1.
The angle $\theta$ should be approximately $150^{\circ}$ . String AB should be parallel to the bench, and the bottom of mass M should be approximately $10\text{ cm}$ above the bench.

Fig. 1.1

(b)

(i)

Measure and record the angle $\theta$ between the string attached to mass M and the string attached to the spring, as shown in Fig. 1.1.

$\theta$ = ______ $^{\circ}$

(ii)

Measure and record the length $L$ of the coiled part of the spring, as shown in Fig. 1.1.

$L$ = ______

(c)

(i)

Change the distance between the stands.
Adjust the height of A until string AB is parallel to the bench. If the apparatus is unstable, you may need to use the G-clamp to secure one of the stands to the bench.

(ii)

Measure and record $\theta$ and $L$ .

$\theta$ = ______ $^{\circ}$
$L$ = ______

(d)

Repeat (c) until you have six sets of values of $\theta$ and $L$ .
Include your values from (b) and (c).
Also include values of $\frac{1}{\sin (\theta - 90^{\circ})}$ in your table.

10M

(e)

(i)

Plot a graph of $\frac{1}{\sin (\theta - 90^{\circ})}$ on the $y$ -axis against $L$ 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 $\theta$ and $L$ are related by the equation

\frac{1}{\sin (\theta - 90^{\circ})} = aL + b

where $a$ and $b$ are constants.

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

$a$ = ______
$b$ = ______

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