Introduction Physics 100 “Physics for poets” Stephen L. Olsen.

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Transcript of Introduction Physics 100 “Physics for poets” Stephen L. Olsen.

Introduction

Physics 100

“Physics for poets”

Stephen L. Olsen

Class procedures

Put this in your “hotlis

t”

Tentative Schedule

Homework will be graded

About 8 ~ 9 questions per assignment

look on the web page for

hints

What does “Physics” mean?

Greek: φίσίσ

phisis Nature

Chinese: 物理 WU LI

“things” “logic”

“The logic of things”

or “How things work”

What kind of “things”?Ordinary-sized objects::

apples:

footballs:

ukuleles:etc.

Gigantic things

Earth

Sun

galaxies

etc.

Very tiny things

molecules

atoms

cells

quarks

Galileo Galilei

1562 - 1642

One meter of length

1 meter = 40 inches (1.1 yds)

1 centimeter = 1/100 meters (about the radius of a penny)

1 millimeter = 1/1000 meters (about the thickness of a dime)

1 kilometer = 1000 meters (about 5/8th of a mile)

10,000,000m

Coordinate systems

x

z

y

To describe the positionof an object: You needto define a coordinate system (reference frame)& determine 3 coordinates

e.g. x, y & z

Choices of location ofthe coordinate system& directions of the axesare up the observer.

Some distances

• Nose to finger ~1 m• The back of the room ~10 m• Campus Center ~100 m• Varsity theatre ~1000 m• North shore ~50000 m• Center of Earth ~6400000 m• Earth to Moon ~385000000 m• Earth to Sun ~150000000000 m• Next star ~40000000000000000 m

Some small sizes

• radius of a penny ~0.01 m• thickness of a dime ~0.001 m• thickness of a human hair ~0.000075 m• diameter of a red blood cell ~0.00000002 m• size of hydrogen atom ~0.00000000006 m• size of hydrogen nucleus ~0.0000000000000001 m

Exponential logic

Powers of 10

$50000.0 = $5000.00 x 10

Move the decimalpoint 1 place to the

left

multiplyby 10&

$0.01 = $00.1 x 1/10

Move the decimalpoint 1 place to the

right

divide by 10&

Positive powers of 10

150000000000150000000000.15000000000.0 x 1011500000000.00 x 102150000000.000 x 10315000000.0000 x 1041500000.00000 x 105150000.000000 x 10615000.0000000 x 1071500.00000000 x 108150.0000000000 x 10915.0000000000 x 10101.50000000000 x 1011

= 1.5 x 1011

1500000000.00 x 10x10

11 jumps to the left +11 in the exponent

Some distances

• Nose to finger ~1 m• The back of the room ~10 m• Campus Center ~100 m• Varsity theatre ~1000 m• North shore ~50000 m• Center of Earth ~6400000 m• Earth to Moon ~386,000,000 m• Earth to Sun ~150000000000 m• Next star ~40000000000000000 m

~5.0 x 104 m ~6.4 x 106 m ~3.86 x 108 m

~1.5 x 1011 m ~4.0 x 1016 m

Negative powers of 10

0.00000000006 00.0000000006 x 1/10 00.0000000006 x 10 -1000.000000006 x 10 -1x10-1000.000000006 x 10 -20000.00000006 x 10 -300000.0000006 x 10 -4000000.000006 x 10 -50000000.00006 x 10 -600000000.0006 x 10 -7000000000.006 x 10 -80000000000.06 x 10 -900000000000.6 x 10 -10000000000006.x 10 -11

= 6.0 x 10-11

11 jumps to the right -11 in the exponent

Some small sizes

• radius of a penny ~0.01 m• thickness of a dime ~0.001 m• thickness of a human hair ~0.000075 m• diameter of a red blood cell ~0.00000002 m• size of hydrogen atom ~0.00000000006 m• size of hydrogen nucleus ~0.000000000000001 m

~7.5 x 10-5 m ~2.0 x 10-8 m

~6.0 x 10-11 m ~1.0 x 10-15 m

Multiplying large numbersUse the rule:

(A x 10a ) x (B x 10b) = (AxB) x (10ax10b)

Number of people

In the USx Income/person

296,000,000 x $ 40,100

= 2.96x108 x $ 4.01x104

= (2.96 x $4.01) x (108 x 104)

= $11.9 x 108+4 =$11.9 x 1012 = $1.19 x 1013

on8/23/05

10a+b

dividing large numbers

=US national debt# of persons in US

on8/23/05

Ax10a Bx10b

x= = x 10a x 10-b

$7,930,000,000,000296,000,000 persons

$7.93 x 1012

2.96 x 108 persons= =

$7.93 1012

2.96 108 personsx

= $2.68 x 1012- 8 /person

move b upstairs

= $2.68 x 104/person

(= $26,800/person)

AB

AB

10a 10b

& change sign

10a-b

Powers of 10 (film)