Physics 9702/32 — May/June 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 · Analysis, Conclusions and Evaluation · Presentation of Data and Observations

Q1Manipulation, Measurement and ObservationPresentation of Data and ObservationsAnalysis, Conclusions and EvaluationFree sample

You may not need to use all of the materials provided.

In this experiment, you will investigate how the equilibrium position of a pivoted wooden strip changes when a horizontal force is applied.

(a)

Thread the string over the pulley and suspend the mass hanger from the end loop of the string, as shown in Fig. 1.1.

Fig. 1.1

(b)

Measure and record the height $H$ of the nail above the bench.

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

(c)

Record the mass $m$ that is suspended from the string.

$m$ = ______

(d)

(i)

Adjust the height of the pulley until the string is parallel to the bench. Measure and record the height $h$ of the string above the bench.

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

(ii)

Calculate the value of $(H - h)$ .

$(H - h)$ = ______ $\text{cm}$

(e)

By adding masses to the hanger, change the total suspended mass $m$ . Repeat (c) and (d) until you have six sets of values for $m$ and $h$ .

In your table of results include columns for the values of $m^2$ and $\frac{1}{(H - h)^2}$ .

10M

(f)

(i)

Plot a graph of $\frac{1}{(H - h)^2}$ on the $y$ -axis against $m^2$ 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 = ______

(g)

It is suggested that the quantities $h$ , $H$ and $m$ are related by the equation

\frac{1}{(H - h)^2} = abm^2 + b

where $a$ and $b$ are constants.

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

$a$ = ______
$b$ = ______

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