In this experiment you will investigate how the depth to which a beaker is submerged in water depends on the mass added to the beaker. (a) Measure and record the height $h$ of the beaker as shown in Fig. 1.1. $h$ = \_\_\_\_\_\_ $\text{cm}$ (i) Place the beaker from (a) inside the larger container, which contains water. The beaker will float in the water and may tilt to one side. (ii) Measure and record the distance $d$ between the lowest point of the bottom of the beaker and…

Physics 9702/35 — October/November 2011

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

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120

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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 how the depth to which a beaker is submerged in water depends on the mass added to the beaker.

(a)

Measure and record the height $h$ of the beaker as shown in Fig. 1.1.

Fig. 1.1

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

(b)

(i)

Place the beaker from (a) inside the larger container, which contains water.
The beaker will float in the water and may tilt to one side.

(ii)

Measure and record the distance $d$ between the lowest point of the bottom of the beaker and the water surface as shown in Fig. 1.2.

Fig. 1.2

This measurement should be taken from outside the large container.

$d$ = ______

(c)

Carefully place the $50\ \text{g}$ mass on top of the modelling clay in the beaker.
For this added mass $m$ of $50\ \text{g}$ , measure and record the new distance $d$ .

$d$ = ______

(d)

Change the added mass in the small beaker and measure $d$ .
Repeat this until you have six sets of readings of $m$ and $d$ .
Include values of $\frac{m}{d}$ and $\frac{1}{d}$ in your table.

10M

(e)

(i)

Plot a graph of $\frac{m}{d}$ on the $y$ -axis against $\frac{1}{d}$ 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)

It is suggested that the quantities $m$ and $d$ are related by the equation

\frac{m}{d} = -\frac{A}{d} + B

where $A$ and $B$ are constants.

Use your answers in (a) and (e)(iii) to determine the least value of $m$ that would be needed to completely submerge the beaker.
Give an appropriate unit.

$m$ = ______

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