Physics 9702/36 — October/November 2015

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 the upthrust on an object partly immersed in water.

(a)

Measure and record the height $H$ of the flask, as shown in Fig. 1.1.

Fig. 1.1

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

(b)

Assemble the apparatus as shown in Fig. 1.2, with the bottom of the flask approximately 4 cm below the water surface.

Fig. 1.2

(c)

(i)

Measure and record the height $h_w$ of the water surface above the bench, as shown in Fig. 1.2.

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

(ii)

Measure and record the height $h_b$ of the bottom of the flask above the bench, as shown in Fig. 1.2.

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

(iii)

Record the newton-meter reading $F$ .

$F$ = ______ $\text{N}$

(iv)

Calculate $x$ , using $x = h_w - h_b$ .

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

(d)

Adjust the height of the boss and repeat (c) until you have six sets of values of $h_w$ , $h_b$ and $F$ .

For all values of $h_b$ , the water surface should be in contact with the sloping sides of the flask.

Include values of $x$ and $(H - x)^3$ in your table.

(e)

(i)

Plot a graph of $F$ on the $y$ -axis against $(H - x)^3$ 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 $F$ , $H$ and $x$ are related by the equation

F = a(H - x)^3 + b

where $a$ and $b$ are constants.

Using your answers in (e)(iii), determine the values of $a$ and $b$ . Give appropriate units.

$a$ = ______
$b$ = ______

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