9702/31

Physics 9702/31May/June 2014

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

2
questions
40
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 a system in equilibrium due to several forces.

(a)

Measure and record the distance L0L_0 between the ends of the spring, as shown in Fig. 1.1.
Note that this distance includes the two loops at the ends.

L0L_0 = ______ m\text{m}

1M
(b)
(i)

Set up the apparatus as shown in Fig. 1.2. Mass mm should be 0.200 kg0.200\ \text{kg}.
Do not change the height of the pulley or the clamp.

(ii)

Adjust the apparatus until the angle θ\theta is 9090^{\circ}.

You may move the stands sideways or slide the knot along the string.

(iii)

Measure and record the distance LL between the ends of the spring loops.

LL = ______ m\text{m}

1M
(iv)

Calculate the extension ee of the spring using e=LL0e = L - L_0.

ee = ______ m\text{m}

(c)

Vary mm and repeat (b)(ii), (b)(iii) and (b)(iv) until you have six sets of readings of mm and LL.

Include values of m2m^2, ee and e2e^2 in your table.

10M
(d)
(i)

Plot a graph of e2e^2 on the yy-axis against m2m^2 on the xx-axis.

3M
(ii)

Draw the straight line of best fit.

1M
(iii)

Determine the gradient and yy-intercept of this line.

gradient = ______
yy-intercept = ______

2M
(e)

The quantities ee and mm are related by the equation

e2=Pm2+Qe^2 = -Pm^2 + Q

where PP and QQ are constants.

Use your answers in (d)(iii) to determine the values of PP and QQ.
Give appropriate units.

PP = ______
QQ = ______

1M
(f)

The mass MM of X is given by

M=QPM = \sqrt{\frac{Q}{P}}

Use your answers in (e) to determine the value of MM.
Include a unit for MM.

MM = ______

1M

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