Physics 9702/33 — October/November 2012

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 how the motion of a thin card shape depends on where the shape is supported.

(a)

You are provided with a T-shaped card. The card has a mark on it and 14 holes.
Label the holes on the card, 1 to 14, starting from the top end as shown in Fig. 1.1.

Fig. 1.1

(b)

(i)

Set up the apparatus, placing the pin through hole number 9, as shown in Fig. 1.2.

Fig. 1.2

(ii)

Measure and record the distance $h$ between the pin and the mark.

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

(c)

Displace the card shape to the left. Release the shape and watch its movement.
The shape will move to the right and then to the left again, completing a swing as shown in Fig. 1.3.

Fig. 1.3

Measure and record the time for at least 10 swings.
Record enough readings to determine an accurate value for the time $T$ taken for one complete swing.

$T$ = ______

(d)

Vary $h$ , by changing the hole through which the pin is placed, and repeat (b)(ii) and (c) until you have six sets of values of $h$ and $T$ .
Include values of $T^2h$ and $h^2$ in your table.

(e)

(i)

Plot a graph of $T^2h$ on the $y$ -axis against $h^2$ 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 = ______

(f)

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

T^2h = Ph^2 + Q

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

$P$ = ______
$Q$ = ______

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