Physics 9702/35 — May/June 2020

● Set up the apparatus as shown in Fig. 1.1.

● The distance between the top of the rod of the clamp and the bottom of the mass hanger is $z$, as shown in Fig. 1.1.

Measure and record $z$.

$z$ = ______

● Add mass $m$ to the mass hanger where $m = 0.300\ \text{kg}$. Gently lower the mass to stretch the spring.

● Record the total added mass $m$ (do not include the mass of the hanger).

$m$ = ______ $\text{kg}$

● Pull the bottom of the mass hanger horizontally through a short distance.

● Release the mass hanger. The mass hanger and masses will oscillate as shown in Fig. 1.2.

● Determine the period $T$ of these oscillations.

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

By changing the total mass added to the mass hanger, vary $m$. Measure $T$ and repeat until you have six sets of values of $m$ and $T$. Include your values from (a). Do not use $m = 0$.

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

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

$$\frac{T^2}{m} = \frac{A}{m} + B$$

where $A$ and $B$ are constants.

Using your answers in (c)(iii), determine the values of $A$ and $B$. Give appropriate units.

$A$ = ______

$B$ = ______

A student repeats the experiment using two springs in series, as shown in Fig. 1.3.

Using two springs connected in series halves the value of the spring constant of the system.

Theory suggests that $A$ is proportional to $z$ and that $B$ is inversely proportional to the spring constant of the system.

For this experiment, draw a second line on the graph to show the expected results. Label this line W.