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1
PHY205H1F Summer
Physics of Everyday Life
Class 1
• Welcome - please make yourself
comfortable!
• I am Jason Harlow, the instructor for
this course
• Today I will introduce the course,
and start in on the first 2 chapters:
• Chapters 2 and 3 from
• Conceptual Physics by P.G.Hewitt
Today’s Outline
• Introduction Who am I? What is physics?
• Run of the Course Clickers, Pre-Class
Quizzes, Tutorials, Problem Sets, Test and
Exam
• Starting Chapters 2 and 3 of Conceptual
Physics (we are skipping chapter 1..)
• Motion, Force, Inertia
• Newton’s First Law
• Relative Motion
• Speed, Velocity, Acceleration
• Free Fall
Who am I?
• Jason Harlow, Senior Lecturer
• B.Sc. in Physics at U of Toronto 1993
• Ph.D. in Astronomy and Astrophysics at
Penn State 2000
• I have been teaching at U of T for 8 years
• Contact Info: [email protected]
• 416-946-4071 Office: MP121B
• Office hours: Mondays and Wednesdays: 10-11AM,
Fridays: 9-10AM. In addition to these hours, you
have are invited to call or email for an appointment,
or just drop by my office.
Other Important Contacts
• Ms. April Seeley, Course Administrative
Assistant
• 416-946-0531
• Office: MP129
• Office hours: Monday,Tuesday, Thursday, Friday
9:30am to 5:00pm, and Wednesdays from 9:30am
to 4:30pm
• Your T.A. – you will meet May 13 or 15
2
What is Physics? • Paul Hewitt, the author of the course textbook,
says:
“You know you can’t enjoy a game unless you know its
rules; whether it’s a ball game, a computer game, or
simply a party game. Likewise, you can’t fully appreciate
your surroundings until you understand the rules of
nature.
Physics is the study of these rules, which show how
everything in nature is beautifully connected. So the
main reason to study physics is to enhance the way you
see the physical world.
You’ll see the mathematical structure of physics in frequent
equations, but more than being recipes for computation,
you’ll see the equations as guides to thinking.”
Physics at U of T • Some of the top research fields in our department
are:
• Atmospheric – Observational and Computational
• Biological Physics
• Condensed Matter Physics – Theoretical and
Experimental
• High Energy Particle Physics – Theoretical and
Experimental
• Geophysics
• Quantum Optics
• Physics Education Research
Physics at U of T Physics at U of T • Angry Birds at Summer Science Camp (held in
August), led by Professor Sabine Stanley (Earth,
Atmospheric and Planetary Physics)
3
Show of hands
• What would you describe as your main
area of study at U of T?
– Humanities (Arts)
– Rotman Commerce
– Computer Science
– Social Sciences
– Other?
Who Should be Taking This
Course? • To do well in this course, you must be familiar with life
on earth, including moving, breathing and eating.
• It also helps if you have some experience thinking about
light, sound or music, and if you have ever used an
electric device, or played with magnets.
• There are no pre-requisites for this course but there are
exclusions!
• This course is primarily intended to be a breadth course
for students in the humanities, social sciences,
commerce, etc. You may not take this course if you
have ever taken or are taking PHY131, PHY151, or any
equivalent laboratory-based first year physics course.
My Goals for You • Begin to see physics in everyday life
• Learn that physics isn’t frightening
• Learn to think logically in order to solve physics
problems
• Develop and expand your physical intuition
• Learn how things work
• Begin to understand that the universe is
predictable rather than magical
• Obtain a perspective on the history of science
and technology
My Goals for Me
• To try to teach well and explain physics
clearly, at an appropriate level.
• To treat you with courtesy, respect and
kindness.
• To be fair.
• To be in my office at scheduled office
hours.
• To answer emails within 48 hours.
• To begin class at 10 after the hour and end
on the hour.
4
What you need to buy (3 things) 1. The required textbook: "Conceptual Physics" 11th
edition, by Paul Hewitt ©2011 by Pearson Education.
There is a custom edition for U of T St. George at the
campus bookstore which includes only the chapters we
will be covering in this course: 2-5, 7 , 8, 13-16, and 19-
28. It also contains an i-clicker rebate coupon.
Custom cover:
Regular cover
What you need to buy (3 things) 2. An i-clicker personal remote. Available at the
campus bookstore New: $36, used: $27. You will be
registering this online with your UTORid for marks.
What you need to buy (3 things) 3. A calculator - this doesn’t need to be too fancy, but it
must have SIN, COS, TAN buttons on it. For example a
new Casio fx-260 is $16.
Pre-Class Reading Quizzes • In order to get the best out of my classes (which will
include lots of clicker questions and discussion) you must
read the chapters before coming to class
• If you hate reading, I have also posted 20 minute pre-class
videos, which go over the main points from each day’s
chapters
• Beginning this Wednesday, there will be a short online
multiple choice quiz due by 10:00am before class.
• You must access the quizzes on the portal site for this
course
• The quiz will be based on your reading or watching of the
pre-class video.
• The questions are not too tricky – if you’ve read the
material, you should find them quite straightforward.
5
Tutorials • Tutorials begin this week.
• You should go to your tutorial once every
Monday or Wednesday
• See the web-site for your room location
based on your tutorial group on portal: “My
Tutorial Group”
• Tutorial worksheets are worth 5% of the
course mark.
• Problem Set 1 will be distributed in tutorial
this week and next Monday.
Tests
• The Midterm Test is Wednesday, May 29 from 1:10-3:00 in ??
• That is in just a little over 2 weeks from now!
• This test is worth 30% of the course mark.
• The tests will involve a combination of multiple choice and written questions, which will test your understanding of course material and ability to think and apply what you have learned to simple problems and explaining phenomena.
• A simple pocket calculator and a 5"×3" index card with your own hand-written notes will be permitted during the tests.
© 2010 Pearson Education, Inc.
Two balls are launched along a pair of tracks with
equal velocities, as shown. Both balls reach the
end of the track. Predict: Which ball will reach the
end of the track first?
• A
• B
• C: They will reach the end of the track at the
same time
© 2010 Pearson Education, Inc.
Demo: Two balls were launched along a pair of
tracks with equal velocities. Both balls reached the
end of the track. Observe: Which ball reached the
end of the track first?
• A
• B
• C: They reached the end of the track at the
same time
6
© 2010 Pearson Education, Inc.
Why does ball reach the end of the track first? Explanation:
• Balls A and B start and end with the same
• But while ball B is on the lower part, it is going than ball A because gravity has sped it up.
• Its is greater, so it gets there
Chapter 2.
Galileo’s Inertia Experiment • A ball rolls down a hill, along a flat part,
and then up a hill again
• It tends to roll up to the same height from
which it was released (or a little less)
• What if there was no second hill?
• Q: What keeps an object going if it is
already moving?
• A:
© 2010 Pearson Education, Inc.
• Born in 1643, the year died.
• Was a “physicist, mathematician, astronomer, natural philosopher, alchemist, and theologian and one of the most influential people in human history.” (http://en.wikipedia.org/wiki/Isaac_Newton)
• In Philosophiæ Naturalis Principia Mathematica, published 1687, he described universal gravitation and the three laws of motion, laying the groundwork for classical mechanics.
Isaac Newton
© 2010 Pearson Education, Inc.
What is a force? A force is a
A force acts on an
Pushes and pulls are applied to something
From the object’s perspective, it has a force on it
• The S.I. unit of force is
the
• 1 N = 1 kg m s–2
24
7
Vector quantity
• a quantity whose description requires both
(how much) and (which way)
• can be represented by drawn to scale,
called
• length of arrow represents magnitude and arrowhead
shows direction
What is a force? Net Force Net force is the combination of all forces that
change an object’s state of motion.
Examples:
One person pushes a cart to the right with a
force of 5 N.
At the same time, a second person pushes the
same cart to the left with a force of 10 N.
What is the magnitude of the net force on the
cart?
A. 0 N
B. 5 N
C. 10 N
D. 15 N
Net Force
One person pushes a cart to the right with a
force of 5 N.
At the same time, a second person pushes the
same cart to the left with a force of 10 N.
What is the direction of the net force on the
cart?
A. To the left
B. To the right
Net Force
8
One person pushes a cart to the right with a
force of 5 N.
At the same time, a second person pushes the
same cart to the left with a force of 10 N.
The net force on the cart is 5 N to the left.
Net Force
Two forces are in opposite
directions, so they
The direction is determined by the
direction of the
The Equilibrium Rule : Example
A string holding up a bag of flour
• Two forces act on the bag of flour:
– force acts upward.
– acts downward.
• Both are equal in magnitude and
opposite in direction.
– When added, they
– So, the bag of flour remains
Normal Force
The normal force on an object resting on a
flat surface is an upward force on an object
that is opposite to the force of gravity.
Example: A book on a table compresses
Atoms in the table, and the compressed
atoms produce the support force.
Understanding Normal Force
When you push down on
a spring, the spring
Similarly, when a book
pushes down on a table,
the table pushes
9
Equilibrium of Moving Things
Equilibrium: a state of no change with no net
force acting
– Static equilibrium
Example: hockey puck at rest on slippery ice
– Dynamic equilibrium
Example: hockey puck sliding at constant speed on
slippery ice
Equilibrium of Moving Things A man pushes a crate with a force to the right.
The downward gravity force is balanced by an upward
normal force.
normal
gravity
push
Can this crate move at a constant velocity?
A. Yes
B. No, there must be another force involved.
Equilibrium of Moving Things
Equilibrium test: whether something
undergoes changes in motion Example: A crate at rest is in static equilibrium.
Example: When pushed at a steady speed, it is in
dynamic equilibrium.
© 2010 Pearson Education, Inc.
Newton’s First Law
The natural state of an object with no net
external force on it is to either remain at rest
or continue to move in a straight line with a
constant velocity.
1
10
© 2010 Pearson Education, Inc.
Thinking About Force
Forces exist due to interactions happening now,
not due to what happened in the past
Consider a flying arrow
A pushing force was
required to accelerate the
arrow as it was shot
However, no force is
needed to keep the arrow
moving forward as it flies
It continues to move because of
37
The Reference Frame of a
Moving Car
Is it possible to juggle in a car that is moving at
100 km/h on the highway?
Yes!
Velocity is relative.
If your laboratory is enclosed inside the back of a
truck with no windows, there is no experiment
you can do to determine whether the truck is at
rest or moving along the highway at a steady
speed.
PHY205
Physics of Everyday Life
Chapter 3
• Motion Is Relative
• Speed : Average and Instantaneous
• Velocity
• Acceleration
• Free Fall
Joke: Why Did the Chicken Cross
the Road?
Aristotle (330 BC):
“Because
Newton (1687):
“Because
Einstein (1905):
11
Motion Is Relative
Motion of objects is always described as
relative to something else. For example:
• On the subway you are
moving at 50 km/h North
relative to the platform.
• The person sitting
across from you is at
rest relative to you
• The station platform is
moving at
relative to you
Caught Speeding
• Officer: “Lady you were going 75 kilometres per
hour in a 50 zone.”
• Lady: “I’m sorry officer, but that can’t be.
• Officer: “No, no. What I mean is, if you had
continued driving at that speed for 1 hour, you
would go 75 kilometres.”
• Lady: “I’m sorry officer, but that’s not true. If I had
continued driving at that speed, I would surely have
• Officer: “Here’s your ticket, explain it to the judge!”
[Paraphrased from famous discussion in The Feynman Lectures on Physics, Vol. 1 by R.P. Feynman, R.B. Leighton
and M. Sands ©1964 by Addison-Wesley]
Speed
• Defined as the distance covered per
amount of travel time.
• Units are
• In equation form:
distanceSpeed =
time
Example: A girl runs 4 meters in 2 sec. Her speed is
Average Speed
• The entire distance covered divided by the total
travel time
– Doesn’t indicate various instantaneous speeds along
the way.
• In equation form:
total distance covered
Average speed time interval
Example: Drive a distance of 200 km in 2 h and your
average speed is
12
Instantaneous Speed
Instantaneous speed is the speed at any
instant.
Example:
– When you ride in your car, you may speed up
and slow down.
– Your is given by your
speedometer.
Velocity
• A description of
– the of the object
– what the object is moving
• Velocity is a quantity. It has
– magnitude: instantaneous speed
– direction: direction of object’s motion
Speed and Velocity
• Constant is steady speed, neither
speeding up nor slowing down.
• Constant is
– constant speed and
– constant direction (straight-line path with no
acceleration).
Motion is relative to Earth, unless otherwise stated.
Acceleration
Formulated by Galileo based
on his experiments with
inclined planes.
Rate at which velocity
changes over time
13
© 2010 Pearson Education, Inc.
Acceleration
Because velocity is a vector, it can change in two possible ways:
1. The magnitude can change, indicating a change in speed, or
2. The direction can change, indicating that the object has changed direction.
Example: Car making a turn
Acceleration
In equation form:
Unit of acceleration is unit of velocity / unit of time.
Example:
• You car’s speed right now is 40 km/h.
• Your car’s speed 5 s later is 45 km/h.
• Your car’s change in speed is 45 – 40 = 5 km/h.
• Your car’s acceleration is 5 km/h/5 s = 1 km/h/s.
Three Equations of Constant Acceleration
(Good to put on your note-card)
This means the change in
speed is the acceleration
times the time elapsed. atvv if1.
2
i2
1attvd 2.
tvv
d
2
fi3.
This means the distance
traveled is related to the
initial speed times time plus
half the acceleration times
time squared.
This means the distance
traveled is the average speed
times time.
Example (Problem 3 from Chapter 3)
a. What is the instantaneous velocity of a freely falling
object 10 s after it is released from a position of rest?
14
Example (Problem 3 from Chapter 3)
a. What is the instantaneous velocity of a freely falling
object 10 s after it is released from a position of rest?
b. What is its average velocity during this 10 s interval?
Example (Problem 3 from Chapter 3)
a. What is the instantaneous velocity of a freely falling
object 10 s after it is released from a position of rest?
b. What is its average velocity during this 10 s interval?
c. How far will it fall during this time?
© 2010 Pearson Education, Inc.
Acceleration Direction for
Linear Motion
• When an object is speeding up, its velocity and acceleration are in the direction.
• When an object is slowing down, its velocity and acceleration are in directions.
• Direction can be specified with + or – signs.
• For example, something with positive velocity and negative acceleration is .
• Something with negative velocity and positive acceleration is also !
Acceleration Direction
• A car starts from rest, then drives to the right. It
speeds up to a maximum speed of 30 m/s. It coasts
at this speed for a while, then the driver hits the
brakes, and the car slows down to a stop.
• While it is speeding up, what is the direction of the
acceleration vector of the car?
A.to the right.
B.to the left.
C.zero.
v
15
Acceleration Direction
• While the car is coasting, what is the direction of the
acceleration vector of the car?
A.to the right.
B.to the left.
C.zero.
v
Acceleration Direction
• While the car is slowing down, what is the direction
of the acceleration vector of the car?
A.to the right.
B.to the left.
C.zero.
v
Acceleration Galileo increased the inclination of inclined planes.
• Steeper inclines gave greater .
• When the incline was vertical, acceleration was
max, same as that of the falling object.
• When air resistance was negligible, all objects fell
with the same unchanging acceleration.
Free Fall
Falling under the influence of gravity only
- with no air resistance
• Freely falling objects on Earth accelerate at
the rate of 10 m/s/s, i.e., 10 m/s2
• This free fall acceleration depends on
and on the earth.
16
• Average: 9.799 m/s2
• For Problem Sets, Tests and the Exam in this class: let’s use
g = 10 m/s2
Free Fall—How Fast?
The velocity acquired by an
object starting from rest is
So, under free fall, when acceleration is
10 m/s2, the speed is
• m/s after 1 s.
• m/s after 2 s.
• m/s after 3 s.
And so on.
Free Fall—How Far?
The distance covered by an accelerating
object starting from rest is
So, under free fall, when acceleration is 10 m/s2, the
distance is
• m after 1 s.
• m after 2 s.
• m after 3 s.
And so on.
Distance (1/2) x acceleration x time x time
Free Fall Acceleration Direction
• An angry bird starts with an upward
velocity, reaches a maximum height,
then falls back down again.
• While the bird is going up (after it has
left my hand), what is the direction of
the acceleration vector of the bird?
A.up.
B.down.
C.zero.
v
17
Free Fall Acceleration Direction
• When the bird is momentarily stopped
at the top of its path, what is the
direction of the acceleration vector of
the bird?
A.up.
B.down.
C.zero.
Free Fall Acceleration Direction
• While the bird is going down (but
before I catch it), what is the direction
of the acceleration vector of the bird?
A.up.
B.down.
C.zero. v
Before Next Class • Buy a clicker! You will need it for the next
class!
• Please read Chapters 4 and 5, or at least
watch the pre-class video
• Note the first Pre-class reading quiz (on
chapters 4 and 5) is due Wednesday by
10:00am
• Note – Tutorials begin today or
Wednesday – go there for marks and to
pick up your first problem set