In this experiment, you will investigate a system in equilibrium due to several turning forces. (a) Measure and record the distance $L$ between the two holes in the wooden strip as shown in Fig. 1.1. $L$ = \_\_\_\_\_\_ $\text{m}$ (b) Write down the mass $M$ given on the card. $M$ = \_\_\_\_\_\_ $\text{kg}$ (i) Set up the apparatus as shown in Fig. 1.2, with mass $m = 0.040\ \text{kg}$. (ii) Adjust the position of the wooden strip until it balances. Measure and record the…

Physics 9702/31 — May/June 2013

Cambridge AS Level · Advanced Practical Skills · worked solutions for every part, with the mark scheme

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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 a system in equilibrium due to several turning forces.

(a)

Measure and record the distance $L$ between the two holes in the wooden strip as shown in Fig. 1.1.

Fig. 1.1

$L$ = ______ $\text{m}$

(b)

Write down the mass $M$ given on the card.

$M$ = ______ $\text{kg}$

(c)

(i)

Set up the apparatus as shown in Fig. 1.2, with mass $m = 0.040\ \text{kg}$ .

Fig. 1.2

(ii)

Adjust the position of the wooden strip until it balances.

Measure and record the distance $d$ , as shown in Fig. 1.2.

$d$ = ______ $\text{m}$

(d)

Vary $m$ and repeat (c)(ii) until you have six sets of readings of $m$ and $d$ .

Include values of $\frac{1}{d}$ in your table.

10M

(e)

(i)

Plot a graph of $\frac{1}{d}$ on the $y$ -axis against $m$ 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 $d$ and $m$ are related by the equation

\frac{1}{d} = Pm + Q

where $P$ and $Q$ are constants.

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

$P$ = ______
$Q$ = ______

(g)

The constant $P$ is related to $L$ and $M$ by

P = \frac{1}{kML}

where $k$ is a constant.

Using your answers in (a), (b) and (f), calculate a value for $k$ .
You need not include units for $k$ .

$k$ = ______

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