Physics 9702/31 — October/November 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

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

In this experiment, you will investigate the motion of a system of masses.

(a)

Set up the apparatus as shown in Fig. 1.1, with the shorter length of string above the central loop and the longer length of string below the central loop.
Place four slotted masses in the bottom loop and four slotted masses in the central loop.

Fig. 1.1

(b)

Move the slotted masses in the bottom loop to the left.

Release the slotted masses and watch the movement.

The slotted masses will move to the right and then to the left again, completing a swing as shown in Fig. 1.2.

Fig. 1.2

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

$T$ = ______ $\text{s}$

(c)

Change the number of slotted masses in each loop. Use all the eight slotted masses.

(i)

Count and record the number $B$ of slotted masses in the bottom loop.

$B$ = ______

(ii)

Count and record the number $C$ of slotted masses in the central loop.

$C$ = ______

(iii)

Repeat (b).

$T$ = ______ $\text{s}$

(d)

Repeat (c) until you have six sets of values of $B$ , $C$ and $T$ . Include your results from (b) and (c).

For each set of values, use all eight slotted masses.

Include values of $\frac{T^2}{B}$ and $\frac{C}{B}$ in your table.

10M

(e)

(i)

Plot a graph of $\frac{T^2}{B}$ on the $y$ -axis against $\frac{C}{B}$ 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 $T$ , $B$ and $C$ are related by the equation

\frac{T^2}{B} = \frac{FC}{B} + G

where $F$ and $G$ are constants.

Use your answers in (e)(iii) to determine the values of $F$ and $G$ .
Give appropriate units.

$F$ = ______
$G$ = ______

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