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Full Answers to Review Questions - Hodder Plus Home

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The overall percentage uncertainty is therefore in the order of 5%<br />

(probably more when also taking in<strong>to</strong> account any manufacturing<br />

<strong>to</strong>lerance and the mass of the wrapper). This means that the density of<br />

the butter could lie between about 0.95 g cm −3 and 1.03 g cm −3 .<br />

Although the experimental value of 0.98 g cm −3 suggests that butter<br />

will float, the experiment may not be sensitive enough <strong>to</strong> confirm this<br />

beyond all doubt. (You might like <strong>to</strong> check what happens with a small<br />

piece of butter in a cup of water!)<br />

2 a) i) For example, mass of packet of paper<br />

M = 2.52 kg<br />

ii) Mass of single sheet<br />

2520 g<br />

m = ______ = 5.04 g<br />

500<br />

b) i) For example:<br />

l/mm 297 297 Average: 297<br />

w/mm 210 210 Average: 210<br />

ii) Area A = 0.297 m × 0.210 m = 0.0624 m 2<br />

5.04 g<br />

‘gsm’ = __________ = 80.8 g m−2<br />

2 0.006 24 m<br />

iii) Percentage difference<br />

= (80.8 – 80) g m−2<br />

_____________________<br />

80 g m−2 × 100% = 1%<br />

<strong>Full</strong> <strong>Answers</strong> <strong>to</strong> <strong>Review</strong> <strong>Questions</strong>: 2 A guide <strong>to</strong> practical work<br />

Table A.2 �<br />

This is acceptable experimental error, particularly when taking in<strong>to</strong><br />

account the mass of the packet and the lack of sensitivity of the<br />

kitchen scales.<br />

c) i) For example, measured thickness of packet/mm<br />

= 48, 47, 48, 49 ⇒ average = 48 mm<br />

Thickness of single sheet<br />

t =<br />

48 mm<br />

______<br />

500<br />

= 0.096 mm = 0.0096 cm<br />

Density of paper = mass _______<br />

volume<br />

=<br />

5.04 g<br />

_________________________<br />

29.7 cm × 21.0 cm × 0.0096 cm<br />

= 0.84 g cm –3 (840 kg m –3 )<br />

ii) The thickness of a single sheet of paper could be checked as follows:<br />

• First check the micrometer screw gauge or digital callipers for zero<br />

error.<br />

• Fold the paper four times <strong>to</strong> get 16 thicknesses.<br />

• Compress <strong>to</strong> remove any air.<br />

• Measure 16 t in four different places.<br />

• Take the average and hence find t.<br />

Tip<br />

Note that your final answer can<br />

be quoted only <strong>to</strong> the number of<br />

significant figures of the least precise<br />

of your measurements. In this case,<br />

the answer can only be stated <strong>to</strong> two<br />

significant figures as t has only been<br />

measured <strong>to</strong> 2 s.f.<br />

Tip<br />

Note the experimental techniques<br />

given here – multiple readings (16 t)<br />

taken in different places – and the<br />

use of bullet points. This is a good<br />

strategy as it helps you set out your<br />

answer in a clear and logical manner.<br />

Examiners love bullet points!<br />

Edexcel Physics for AS © <strong>Hodder</strong> Education 2009<br />

2

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