David Sang
Cambridge IGCSE
®
Physics Workbook
Co m ple t Ca el y m Ca br idg Ca m br idg f e re m e q or sou b rce ri ua dg lifi s ca tio e ns
David Sang
9780521173582 David Sang IGCSE Physics Workbook. Cover. C M Y K
Workbook
Cambridge IGCSE Physics matches the requirements of the revised Cambridge IGCSE Physics syllabus (0625). It is endorsed by Cambridge International Examinations for use with their examination. This Workbook is intended to be used alongside the Cambridge IGCSE Physics Coursebook. It contains exercises that will help students to develop the skills they need to do well in the IGCSE Physics examination. These exercises are arranged by chapter, in the same order as in the Coursebook. The Workbook exercises are designed to develop the following skills: writing about the concepts discussed in the Coursebook solving numerical and other problems thinking about experimental techniques and interpreting results from experiments drawing and interpreting graphs and other diagrams. Answers and workings for the Workbook exercises are included on the Teacher’s Resource. Completely Cambridge – Cambridge resources for Cambridge qualifications Cambridge University Press works closely with Cambridge International Examinations as parts of the University of Cambridge. We enable thousands of students to pass their Cambridge exams by providing comprehensive, high-quality, endorsed resources. To find out more about Cambridge International Examinations visit www.cie.org.uk Visit education.cambridge.org/cie for information on our full range of Cambridge IGCSE titles including e-book versions and mobile apps.
Cambridge IGCSE Physics
Cambridge IGCSE Physics Workbook David Sang
David Sang
Cambridge IGCSE速
Physics
Workbook
c a mb r id g e u n i ve r s i t y p re s s Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo, Delhi, Mexico City Cambridge University Press The Edinburgh Building, Cambridge CB2 8RU, UK www.cambridge.org Information on this title: www.cambridge.org/9780521173582 © Cambridge University Press 2010 This publication is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. First published 2010 7th printing 2013 Printed in Italy by L.E.G.O. S.p.A. A catalogue record for this publication is available from the British Library ISBN 978-0-521-17358-2 Paperback Cambridge University Press has no responsibility for the persistence or accuracy of URLs for external or third-party internet websites referred to in this publication, and does not guarantee that any content on such websites is, or will remain, accurate or appropriate. Information regarding prices, travel timetables and other factual information given in this work is correct at the time of first printing but Cambridge University Press does not guarantee the accuracy of such information thereafter. Cover image: Fingers weave through optical fibers. © Adam Hart-Davis/Science Photo Library ® IGCSE is the registered trademark of University of Cambridge International Examinations noti c e to t e ach e r s References to practical activities contained in these resources are provided ‘as is’ and information provided is on the understanding that teachers and technicians shall undertake a thorough and appropriate risk assessment before undertaking any of the practical activities listed. Cambridge University Press makes no warranties, representations or claims of any kind concerning the practical activities. To the extent permitted by law, Cambridge University Press will not be liable for any loss, injury, claim, liability or damage of any kind resulting from the use of the practical activities.
Contents
Block 3 Physics of waves
Introduction
v
12
Block 1 General physics
1
13
48
Sound
48
12.1 Sound on the move 12.2 Sound as a wave
48 51
Light
52
13.1 On reflection 13.2 Refraction of light
53 54
1
Making measurements
1
E
1.1 Accurate measurements 1.2 Density data 1.3 Testing your body clock
1 2 4
14
Properties of waves
54
6
E
14.1 Describing waves 14.2 The speed of waves
55 56
Spectra
58
15.1 Electromagnetic waves
58
2
Describing motion
E
2.1 Speed calculations 2.2 Distance against time graphs 2.3 Speed against time graphs
7 8 11
3
Forces and motion
13
3.1 Identifying forces 3.2 The effects of forces 3.3 Falling
13 14 15
4
Turning effects of forces
16
E
4.1 Turning effect of a force 4.2 Calculating moments
16 17
5
Forces and matter
19
E
5.1 Stretching a spring 5.2 Pressure
19 21
6
Energy transformations and energy transfers
23
E
6.1 Energy efficiency 6.2 Energy calculations
24 26
7
Energy resources
27
7.1 Renewables and non-renewables
28
Work and power
29
8.1 Forces doing work, transferring energy 8.2 Calculating work done 8.3 Power
30 31 32
8 E
Block 2 Thermal physics
34
9
The kinetic model of matter
34
E
9.1 Changes of state 9.2 Brownian motion 9.3 Boyle’s law
34 36 37
10
Thermal properties of matter
39
E
10.1 Calibrating a thermometer 10.2 Heat calculations
39 41
Thermal (heat) energy transfers
44
11.1 Convection currents 11.2 Radiation
44 46
11
15
Block 4 Electricity and magnetism 60 16
17
18 E
19 E
20
21 E
Magnetism
60
16.1 Attraction and repulsion 16.2 Make a magnet 16.3 Magnetic fields
60 61 62
Static electricity
63
17.1 Attraction and repulsion 17.2 Moving charges
63 64
Electrical quantities
65
18.1 Current and charge 18.2 Electrical resistance 18.3 Electrical energy and power
66 67 70
Electric circuits
71
19.1 Circuit components and their symbols 19.2 Diodes 19.3 Resistor combinations
72 73 73
Electromagnetic forces
74
20.1 Using electromagnetism 20.2 Cathode rays
75 77
Electromagnetic induction
78
21.1 Electricity generation 21.2 Transformers
79 80
Block 5 Atomic physics 22 E
23
E
82
The nuclear atom
82
22.1 The structure of the atom 22.2 Discovering the structure of the atom 22.3 Isotopes
82 83 85
Radioactivity
86
23.1 The nature of radiation 23.2 Radioactive decay 23.3 Using radioactive substances
87 88 91 Contents iii
Introduction This book has been written to help you increase your understanding of the topics covered in your IGCSE Physics course. The exercises will give you opportunities for the following:
• • • •
practice in writing about the ideas that you are studying practice in solving numerical and other problems practice in thinking critically about experimental techniques and data practice in drawing and interpreting diagrams, including graphs.
Most of the exercises are somewhat different from examination questions. This is because they are designed to help you develop your knowledge, skills and understanding. (Examination questions are designed differently, to test what you know, understand and can do.) Spaces have been left for you to write your answers. Some of the diagrams are incomplete, and your task will be to complete them.
Safety A few practical exercises have been included. These could be carried out at home using simple materials that you are likely to have available to you. (There are many more practical activities on the CD-ROM that accompanies your textbook.) While carrying out such experiments, it is your responsibility to think about your own safety, and the safety of others. If you work sensibly and assess any risks before starting, you should come to no harm. If you are in doubt, discuss what you are going to do with your teacher before you start.
iv Introduction
Block 1
General physics
1
Making measurements A definition to learn density the ratio of mass to volume for a substance
An equation to learn and use density =
mass volume
Exercise 1.1 Accurate measurements To measure a length accurately, it is essential to have a careful technique. Special measuring instruments can also help.
a The diagram shows how a student attempted to measure the length of a piece of wire.
0
1
2
3
4
5
6
7
From the diagram, estimate the length of the wire. ........................................................... b State three ways in which the student could have improved his technique for measuring the wire. ............................................................................................................................................................................................................. ............................................................................................................................................................................................................. .............................................................................................................................................................................................................
Making measurements 1
E c The diagram shows a set of vernier callipers. Label the following parts of this measuring instrument: vernier scale
main scale
0
1
2
0
jaws
4
3
5
6
7
8
9
10
10
d Determine the diameter of the ball, as measured by the vernier callipers shown on the right. ........................................................... 2
3
0
e A micrometer screw gauge can be used to measure the thickness of a sheet of plastic. What value is shown in the diagram on the right?
012 3
10
25 20
012 3
...........................................................
4
25 20
f During an experiment, a student made the measurements shown in the table below. In the second column, suggest the instrument that she used to make each measurement. Measurement
Measuring instrument
length of wire = 20.4 cm thickness of wire = 4.24 mm thickness of wooden block = 17.5 mm
Exercise 1.2 Density data This exercise presents some data for you to interpret and use.
The table on the opposite page shows the densities of some solids and liquids. Two units are used, kg/m3 and g/cm3.
2 Block 1: General physics
Material
State / type
Density / kg/m3
Density / g/cm3
water
liquid / non-metal
1 000
1.000
ethanol
liquid / non-metal
800
0.800
olive oil
liquid / non-metal
920
mercury
liquid / metal
ice
solid / non-metal
920
diamond
solid / non-metal
3 500
cork
solid / non-metal
250
chalk
solid / non-metal
2 700
iron
solid / metal
7 900
tungsten
solid / metal
19 300
aluminium
solid / metal
2 700
gold
solid / metal
19 300
13 500
a Complete the last column by converting each density in kg/m3 to the equivalent value in g/cm3. The first two have been done for you. b Use the data to explain why ice floats on water. ............................................................................................................................................................................................................. .............................................................................................................................................................................................................
c A cook mixes equal volumes of water and olive oil in a jar. The two liquids separate. Complete the drawing of the jar to show how the liquids will appear. Label them.
Making measurements 3
d A student wrote: “This data shows that metals are denser than non-metals.” Do you agree or disagree? Explain your answer. ............................................................................................................................................................................................................. ............................................................................................................................................................................................................. ............................................................................................................................................................................................................. .............................................................................................................................................................................................................
e Calculate the mass of a block of gold that measures 20 cm × 15 cm × 10 cm. Give your answer in kg.
f A metalworker finds a block of silvery metal. He weighs it and he measures its volume. Here are his results: mass of block = 0.270 kg volume of block = 14.0 cm3
Calculate the density of the block.
g Suggest what metal this might be. ...........................................................
Exercise 1.3 Testing your body clock How good would your pulse be as a means of measuring time intervals? Galileo used the regular pulse of his heart as a means of measuring intervals of time until he noticed that a swinging pendulum was more reliable.
In this exercise, you need to be able to measure the pulse in your wrist. Place two fingers of one hand gently on the inside of the opposite wrist. Press gently at different points until you find the pulse. (Alternatively, press two fingers gently under the jawbone on either side of your neck.) You will also need a clock or watch that will allow you to measure intervals of time in seconds. 4 Block 1: General physics
a Start by timing 10 pulses. (Remember to start counting from zero: 0, 1, 2, 3, . . . , 9, 10.) Repeat this several times and record your results below.
b Comment on your results. How much do they vary? Is the problem that it is difficult to time them, or is your heart rate varying? ............................................................................................................................................................................................................. ............................................................................................................................................................................................................. ............................................................................................................................................................................................................. ............................................................................................................................................................................................................. .............................................................................................................................................................................................................
c Use your results to calculate the average time for one pulse.
d Repeat the above, but this time count 50 pulses. Record your results below. Calculate the average time for one pulse.
e Now investigate how your pulse changes if you take some gentle exercise – by walking briskly, or by walking up and down stairs, for example. In the space below:
• • •
Briefly describe your exercise. Give the measurements of pulse rate that you have made. Comment on whether you agree with Galileo that a pendulum is a better time-measuring instrument than your pulse.
............................................................................................................................................................................................................. ............................................................................................................................................................................................................. Making measurements 5
............................................................................................................................................................................................................. ............................................................................................................................................................................................................. ............................................................................................................................................................................................................. ............................................................................................................................................................................................................. ............................................................................................................................................................................................................. ............................................................................................................................................................................................................. ............................................................................................................................................................................................................. ............................................................................................................................................................................................................. ............................................................................................................................................................................................................. ............................................................................................................................................................................................................. ............................................................................................................................................................................................................. ............................................................................................................................................................................................................. .............................................................................................................................................................................................................
2
Describing motion Definitions to learn speed acceleration
the distance travelled by an object in unit time the rate of change of an object’s velocity
Equations to learn and use speed = distance time speed = gradient of distance against time graph
E
distance = area under speed against time graph change in speed time taken acceleration = gradient of speed against time graph acceleration =
6 Block 1: General physics
Exercise 2.1 Speed calculations Use the equation for speed to solve some numerical problems.
a The table below shows the time taken for each of three cars to travel 100 m. Circle the name of the fastest car. Car
Time taken / s
red car
4.2
green car
3.8
yellow car
4.7
Speed / m/s
b Complete the table by calculating the speed of each car. Give your answers in m/s and to one decimal place. c A jet aircraft travels 1200 km in 1 h 20 min. How many metres does it travel? ................................................................ For how many minutes does it travel? ................................................................ And for how many seconds? ................................................................ d Calculate the average speed of the jet in part c during its flight. Give your answer in m/s.
e A stone falls 20 m in 2.0 s. Calculate its average speed as it falls.
f The stone falls a further 25 m in the next 1.0 s of its fall. Calculate the stone’s average speed during the 3 s of its fall.
g Explain why we can only calculate the stone’s average speed during its fall. ...................................................................................................................................................... ......................................................................................................................................................
Describing motion 7
Exercise 2.2 Distance against time graphs Draw and interpret some distance against time graphs. You can calculate the speed of an object from the gradient (slope) of the graph.
Time
D
Distance
C
Distance
B
Distance
A
Time
Distance
a The diagrams A–D show distance against time graphs for four moving objects.
Time
Time
Complete the table below by indicating (in the second column) the graph or graphs that represent the motion described in the first column. Description of motion
Graph(s)
moving at a steady speed stationary (not moving) moving fastest changing speed b The table below shows the distance travelled by a runner during a 100 m race. Use the data to draw a distance against time graph on the graph paper on the next page. Distance / m
0
Time / s
0.0
8 Block 1: General physics
10.0
25.0
45.0
65.0
85.0
105.0
2.0
4.0
6.0
8.0
10.0
12.0
c From your graph, answer the questions that follow: How far did the runner travel in the first 9.0 s? ................................................................ How long did the runner take to run the first 50.0 m? ................................................................ How long did the runner take to complete the 100 m? ................................................................ d Use the gradient of the graph to determine the runner’s average speed between 4.0 s and 10.0 s. On the graph, show the triangle that you use.
e On the graph axes on the next page, sketch a distance against time graph for the car whose journey is described here:
• • •
The car set off at a slow, steady speed for 20 s. Then it moved for 40 s at a faster speed. Then it stopped at traffic lights for 20 s before setting off again at a slow, steady speed. Describing motion 9
f The graph on the right represents the motion of a bus for part of a journey. On the graph, mark the section of the journey where the bus was moving faster.
1000
Distance / m
800
600
400
200
0
0
20
40
60 Time / s
g From the graph in part f, calculate the following:
•
the speed of the bus when it was moving faster
•
the average speed of the bus.
10 Block 1: General physics
80
100
Exercise 2.3 Speed against time graphs Draw and interpret some speed against time graphs. You can calculate the acceleration of an object from the gradient (slope) of the graph. You can calculate the distance travelled from the area under the graph.
a The diagrams show speed against time graphs for four moving objects.
Time
D
Time
Speed
C
Speed
B
Speed
A
Speed
Time
Time
Complete the table by indicating (in the second column) the graph or graphs that represent the motion described in the first column. Description of motion
Graph(s)
moving at a steady speed speeding up, then slowing down moving with constant acceleration accelerating to a steady speed b The graph on the right represents the motion of a car that accelerates from rest and then travels at a steady speed.
30 Speed / m/s
E
20
10
From the graph, determine the acceleration of the car in the first part of its journey.
0
0
10
20
30
40
Time / s
Describing motion 11
E
c On the graph, shade the area that represents the distance travelled by the car while accelerating. Label this area A. Shade the area that represents the distance travelled by the car at a steady speed. Label this area B. d Calculate each of these distances and the total distance travelled by the car. [Note: area of a triangle = 12 × base × height]
e On the graph paper below, sketch a speed against time graph for the car whose journey is described here:
• • • •
The car set off at a slow, steady speed for 20 s. Then, during a time of 10 s, it accelerated to a faster speed. It travelled at this steady speed for 20 s. Then it rapidly decelerated and came to a halt within 10 s.
12 Block 1: General physics