In this experiment, you will investigate the motion of a rolling sphere. (i) Assemble the apparatus as shown in Fig. 1.1. The top end of the track is a distance $d$ above the bench. The initial value of $d$ should be approximately $5\text{ cm}$. Ensure that the distance between the bottom of the track and the target wooden strip is $50.0\text{ cm}$. Place the sphere on the track and hold it gently against the tape, as shown in Fig. 1.2. Measure and record the height $h$ of…

Physics 9702/32 — May/June 2018

Cambridge AS Level · Advanced Practical Skills · worked solutions for every part, with the mark scheme

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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 motion of a rolling sphere.

(a)

(i)

Assemble the apparatus as shown in Fig. 1.1.

The top end of the track is a distance $d$ above the bench.
The initial value of $d$ should be approximately $5\text{ cm}$ .

Fig. 1.1

Ensure that the distance between the bottom of the track and the target wooden strip is $50.0\text{ cm}$ .

Place the sphere on the track and hold it gently against the tape, as shown in Fig. 1.2.

Fig. 1.2

Measure and record the height $h$ of the top of the sphere above the bench.

$h$ = ______

(ii)

Release the sphere.

Measure and record the time $t$ from release for the sphere to reach the target.

$t$ = ______

(b)

Change $d$ and repeat (a) until you have six sets of values of $h$ and $t$ . Do not use values of $d$ greater than $10\text{ cm}$ .
Ensure that the distance from the bottom of the track to the target is always $50.0\text{ cm}$ .

Record your results in a table. Include values of $\frac{1}{t^2}$ in your table.

(c)

(i)

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

(d)

It is suggested that the quantities $t$ and $h$ are related by the equation

\frac{1}{t^2} = ah + b

where $a$ and $b$ are constants.

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

$a$ = ______
$b$ = ______

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