Physics 9702/35 — October/November 2016

Use water from the jug and the measuring cylinder to determine the maximum volume $V_F$ of water held by the bottle.

Record $V_F$.

($1\ \text{ml} = 1\ \text{cm}^3$)

$V_F$ = ______ $\text{cm}^3$

Return any water to the jug.
Do not change the volume of water in the large cylindrical cylinder.

Add volume $V$ of water to the bottle where $V$ is approximately $100\ \text{cm}^3$.

Record $V$.

$V$ = ______ $\text{cm}^3$

Screw the cap on the bottle so that no water leaks out of the bottle when the bottle is inverted.

Place both rubber bands around the top of the large cylindrical container.

Gently push the bottle into the water in the large cylindrical container until the top is just on the water surface as shown in Fig. 1.1.

Keep the bottle in this position using one hand.

Use your other hand to slide one of the rubber bands down so that it is level with the bottom of the mass.

Release the bottle. The bottle will move upwards and then move downwards.

Place the other rubber band so that it is level with the highest position of the bottom of the mass as shown in Fig. 1.2. You should repeat this several times before you decide on the position of this rubber band.

The maximum distance moved upwards by the bottle is $y$ as shown in Fig. 1.2.

Measure and record $y$.

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

Calculate $\frac{2V_F}{3}$.

$\frac{2V_F}{3}$ = ______ $\text{cm}^3$

Increase $V$ and repeat (b)(ii), (b)(iii), (c)(ii), (c)(iv) and (c)(v) until you have six sets of values of $V$ and $y$.

Do not use a value of $V$ greater than $\frac{2V_F}{3}$.

Plot a graph of $y$ on the $y$-axis against $V$ on the $x$-axis.

Draw the straight line of best fit.

Determine the gradient and $y$-intercept of this line.

gradient = ______
$y$-intercept = ______

Use your values from (f) to calculate the value of $V$ when $y = 0$.

$V$ = ______ $\text{cm}^3$

Explain why it is impossible to repeat the experiment using the value of $V$ calculated in (g)(i).