Physics 9702/36 — October/November 2018

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 a system in equilibrium.

(a)

• Assemble the apparatus as shown in Fig. 1.1.

Fig. 1.1

• Adjust the apparatus so that the wooden strip is horizontal, the large string loop and newton-meter are vertical, and the pointer line is aligned with the zero line on the protractor.

• Measure and record the length $L_0$ of the coiled part of the spring, as shown in Fig. 1.2.

Fig. 1.2

$L_0$ = ______

(b)

• Pull the spring down a short distance, keeping the small string loop aligned with the line on the wooden strip, as shown in Fig. 1.3.

Fig. 1.3

• Measure and record the length $L$ of the coiled section of the spring, as shown in Fig. 1.3.

$L$ = ______

• Read and record the angle $\theta$ of the pointer line from the vertical, as shown in Fig. 1.3.

$\theta$ = ______

(c)

Repeat (b) using different values of $\theta$ less than $45^{\circ}$ until you have six sets of values of $\theta$ and $L$ .

Record your results in a table. Include values of $(L - L_0)$ and values of $(\sin \theta)(\cos \theta)$ in your table.

10M

(d)

(i)

Plot a graph of $(L - L_0)$ on the $y$ -axis against $(\sin \theta)(\cos \theta)$ 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)

It is suggested that the quantities $L$ and $\theta$ are related by the equation

(L - L_0) = a (\sin \theta)(\cos \theta) + b

where $a$ and $b$ are constants.

Use your answers in (d)(iii) to determine the values of $a$ and $b$ . Give appropriate units.

$a$ = ______
$b$ = ______

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