In this experiment, you will determine the mass of a half-metre rule. You are provided with - a half-metre rule with holes near both ends, - a length of string attached to the rule at the 49.0 cm mark, - a pivot in the form of a thin rod or nail, - a 50 g mass labelled P, - a pulley supported above the bench, - a stand and boss to support the pivot, - a metre rule, - a set square. (a) The Supervisor has set up the apparatus as shown in Fig. 1.1. Set up the apparatus as shown…

Physics 5054/31 — May/June 2014

Cambridge O-Level · Practical Test · worked solutions for every part, with the mark scheme

questions

marks

120

minutes

Topics Observations and Measurements · Experimental Contexts · Analysis, Conclusions and Evaluation · Use of Techniques, Apparatus and Materials

Q15MUse of Techniques, Apparatus and MaterialsObservations and MeasurementsExperimental ContextsAnalysis, Conclusions and EvaluationFree sample

In this experiment, you will determine the mass of a half-metre rule.

You are provided with

a half-metre rule with holes near both ends,
a length of string attached to the rule at the 49.0 cm mark,
a pivot in the form of a thin rod or nail,
a 50 g mass labelled P,
a pulley supported above the bench,
a stand and boss to support the pivot,
a metre rule,
a set square.

(a)

The Supervisor has set up the apparatus as shown in Fig. 1.1.

Fig. 1.1

Set up the apparatus as shown in Fig. 1.2. Adjust the height of the pulley and/or the position of the stands to make the section of the string labelled AB horizontal.

Fig. 1.2

Explain how you made sure that AB was horizontal. You may draw on Fig. 1.2 if you wish.

(b)

Measure and record

(i) the height $h_1$ of AB above the bench,

$h_1$ = ______

(ii) the height $h_2$ of the centre of the pivot above the bench,

$h_2$ = ______

(iii) the distance $l$ between the centres of the two holes in the rule.

$l$ = ______

(c)

Calculate

(i) the distance $h$ using $h = h_2 - h_1$ ,

$h$ = ______

(ii) the distance $x$ using $x = \sqrt{l^2 - h^2}$

$x$ = ______

(iii) the mass $M$ of the half-metre rule using

M = \frac{2mh}{x}

where the mass $m$ of P is 50 g.

$M$ = ______

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