Physics 9702/31 — October/November 2011

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 equilibrium position of a metre rule with a mass attached to one end.

(a)

(i)

Use a loop of string to balance the metre rule as shown in Fig. 1.1.

Fig. 1.1

(ii)

Measure and record distance $k$ between the loop and the end of the rule as shown in Fig. 1.1.

$k$ = ______ $\text{cm}$

(b)

(i)

Use the other loop of string to attach the mass hanger at a distance $d$ from the end of the rule as shown in Fig. 1.2. The value of $d$ should be approximately $5\ \text{cm}$ .

(ii)

For this value of $d$ , adjust the position of the rule so that it balances. The new distance between the first loop and the end of the rule is $D$ , as shown in Fig. 1.2.

Fig. 1.2

(iii)

Measure and record lengths $d$ and $D$ .

$d$ = ______
$D$ = ______

(iv)

Calculate the value of $\frac{(D - d)}{D}$ .

$\frac{(D - d)}{D}$ = ______

(c)

By moving the mass hanger along the metre rule, repeat (b)(ii), (b)(iii) and (b)(iv) until you have six sets of values of $d$ and $D$ .
Include values of $\frac{1}{D}$ and $\frac{(D - d)}{D}$ in your table.

10M

(d)

(i)

Plot a graph of $\frac{(D - d)}{D}$ on the $y$ -axis against $\frac{1}{D}$ 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)

The quantities $d$ and $D$ are related by the equation

\frac{(D - d)}{D} = \frac{A}{D} - B

where $A$ and $B$ are constants.

Use your answers in (d)(iii) to determine the value of $\frac{A}{B}$ .
Give appropriate units.

$\frac{A}{B}$ = ______

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