In this experiment, you will investigate the motion of a system of masses as its shape is changed. (a) You are provided with a length of wire, bent into two arms, with a mass attached at the end of each arm as shown in Fig. 1.1. (i) Measure and record the angle $\theta$ between the two arms. $\theta$ = \_\_\_\_\_\_ (ii) Calculate $\sin^2\left(\frac{\theta}{2}\right)$, where $$ \sin^2\left(\frac{\theta}{2}\right) = \sin\left(\frac{\theta}{2}\right) \times…

Physics 9702/34 — May/June 2014

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

questions

marks

120

minutes

Topics Manipulation, Measurement and Observation · Analysis, Conclusions and Evaluation · Presentation of Data and Observations

Q1Manipulation, Measurement and ObservationPresentation of Data and ObservationsAnalysis, Conclusions and EvaluationFree sample

In this experiment, you will investigate the motion of a system of masses as its shape is changed.

(a)

You are provided with a length of wire, bent into two arms, with a mass attached at the end of each arm as shown in Fig. 1.1.

Fig. 1.1

(i)

Measure and record the angle $\theta$ between the two arms.

$\theta$ = ______

(ii)

Calculate $\sin^2\left(\frac{\theta}{2}\right)$ , where

\sin^2\left(\frac{\theta}{2}\right) = \sin\left(\frac{\theta}{2}\right) \times \sin\left(\frac{\theta}{2}\right)

$\sin^2\left(\frac{\theta}{2}\right)$ = ______

(b)

You are provided with a spring suspended from a stand. A hook is suspended from the bottom of the spring.
Hang the wire from the upper part of the hook and hang the mass hanger from the lower part of the hook as shown in Fig. 1.2.

Fig. 1.2

(i)

Twist the mass hanger through about $45^\circ$ and release it so that the mass hanger and wire rotate back and forth as shown in Fig. 1.3.

Fig. 1.3

(ii)

Measure and record the time $t$ for the mass hanger and wire to make 5 complete swings.

$t$ = ______

(c)

Remove the wire from its hook. Bend the wire to change the angle $\theta$ . The arms of the wire must remain straight.
Repeat (a) and (b) until you have five sets of readings for $\theta$ and $t$ .
Include values for $t^2$ and $\sin^2\left(\frac{\theta}{2}\right)$ in your table.

(d)

(i)

Plot a graph of $t^2$ on the $y$ -axis against $\sin^2\left(\frac{\theta}{2}\right)$ 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 = ______

(e)

The quantities $t$ and $\theta$ are related by the equation

t^2 = p + q \sin^2\left(\frac{\theta}{2}\right)

where $p$ and $q$ are constants.

Using your answers from (d)(iii), determine the values of $p$ and $q$ .
Give appropriate units.

$p$ = ______
$q$ = ______

The rest of this paper

1 more questions

Q2Manipulation, Measurement and Observation · Analysis, Conclusions and Evaluation1M

Loading the full paper…