Physics 9702/32 — May/June 2014

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 of a rod supported by a spring.

(a)

The apparatus has been assembled for you as shown in Fig. 1.1.

Fig. 1.1

(i)

Lift the end of the rod attached to the spring so that there is no tension in the spring. Measure and record the unstretched length $l_0$ of the spring, as shown in Fig. 1.2.

Fig. 1.2

$l_0$ = ______ $\text{cm}$

(ii)

Release the end of the rod. Suspend the mass M from the string loop.

(b)

(i)

Move the string in the clamp to make the rod horizontal.

(ii)

Use the plumb-line to ensure that nail B is vertically below nail A, as shown in Fig. 1.3.

Fig. 1.3

(iii)

Measure and record the distance $h$ between the two nails, and the length $l$ of the spring, as shown in Fig. 1.3.

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

(c)

Raise nail B and repeat (b) until you have six sets of values of $h$ and $l$ .
Include values for $\frac{1}{h^2}$ and $(l - l_0)^2$ in your table.

10M

(d)

(i)

Plot a graph of $(l - l_0)^2$ on the $y$ -axis against $\frac{1}{h^2}$ 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 = ______

(e)

The quantities $l$ and $h$ are related by the equation

(l - l_0)^2 = \frac{p}{h^2} + q

where $p$ and $q$ are constants.

Using your answers from (d)(iii), determine the values of $p$ and $q$ .
Give appropriate units.

$p$ = ______
$q$ = ______

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