Download mass of the ball

Conceptual Physics
Fundamentals
Chapter 3:
EQUILIBRIUM AND LINEAR
MOTION
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This lecture will help you understand:
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Aristotle on Motion
Galileo’s Concept of Inertia
Mass—A Measure of Inertia
Net Force
The Equilibrium Rule
Equilibrium of Moving Things
The Force of Friction
Speed and Velocity
Acceleration
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Equilibrium and Linear Motion
“When you’re over the hill, that’s when you
pick up speed.”
—Quincy Jones
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Aristotle on Motion
Aristotle’s classification of motion
 natural motion
o Every object in the universe has a proper
place determined by a combination of four
elements: earth, water, air, and fire
o Any object not in its proper place will strive to
get there.
Example: stones fall; puffs of smoke rise
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Aristotle on Motion
 natural motion (continued)
o Straight up or straight down for all things on
Earth
o Beyond Earth, motion is circular.
Example: Sun and moon continually circle
the Earth.
 violent motion
o produced by external pushes or pulls on
objects
Example: Wind imposes motion on ships.
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Galileo’s Concept of Inertia
Italian scientist Galileo demolished
Aristotle’s assertions in early 1500s.
Galileo’s discovery:
 Objects of different weight fall to the ground at
the same time in the absence of air resistance.
 A moving object needs no force to keep it
moving in the absence of friction.
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Galileo’s Concept of Inertia
Force
 is a push or a pull
Inertia
 is a property of matter to resist changes in
motion
 depends on the amount of matter in an object
(its mass)
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Galileo’s Concept of Inertia
CHECK YOUR NEIGHBOR
The use of inclined planes for Galileo’s experiments helped
him to _______.
A.
B.
C.
D.
eliminate the acceleration of free fall
discover the concept of energy
discover the property called inertia
discover the concept of momentum
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Galileo’s Concept of Inertia
CHECK YOUR ANSWER
The use of inclined planes for Galileo’s experiments helped
him to _______.
A.
B.
C.
D.
eliminate the acceleration of free fall
discover the concept of energy
discover the property called inertia
discover the concept of momentum
Comment:
Note that inertia is a property of matter, not a reason for the behavior of
matter.
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Mass—A Measure of Inertia
Mass
 a measure of the inertia of a material object
 independent of gravity
 greater inertia  greater mass
 unit of measurement is the kilogram (kg)
Weight
 the force on an object due to gravity
 scientific unit of force is the Newton (N)
 unit is also the pound (lb)
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Mass—A Measure of Inertia
CHECK YOUR NEIGHBOR
The concept of inertia mostly involves _______.
A.
B.
C.
D.
mass
weight
volume
density
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Mass—A Measure of Inertia
CHECK YOUR ANSWER
The concept of inertia mostly involves _______.
A.
B.
C.
D.
mass
weight
volume
density
Comment:
Anybody get this wrong? Check the title of this slide! :-)
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Mass—A Measure of Inertia
CHECK YOUR NEIGHBOR
If the mass of an object is halved, the weight of the object
is _______.
A.
B.
C.
D.
halved
doubled
depends on location
none of the above
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Mass—A Measure of Inertia
CHECK YOUR ANSWER
If the mass of an object is halved, the weight of the object
is _______.
A.
B.
C.
D.
halved
doubled
depends on location
none of the above
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Mass—A Measure of Inertia
Mass and weight in everyday conversation are
interchangeable. Mass, however, is different and
more fundamental than weight.
Mass versus weight
 On Moon and Earth
o Weight of an object on the Moon is
less than on the Earth.
o Mass of an object is the same
in both locations.
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Mass—A Measure of Inertia
One Kilogram Weighs 9.8 Newtons.
Relationship between kilograms and pounds
 1 kg = 2.2 lb = 9.8 N at Earth’s surface
 1 lb = 4.45 N
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Mass—A Measure of Inertia
CHECK YOUR NEIGHBOR
When the string is pulled down slowly, the top string
breaks, which best illustrates the _______.
A.
B.
C.
D.
weight of the ball
mass of the ball
volume of the ball
density of the ball
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Mass—A Measure of Inertia
CHECK YOUR ANSWER
When the string is pulled down slowly, the top string
breaks, which best illustrates the _______.
A.
B.
C.
D.
weight of the ball
mass of the ball
volume of the ball
density of the ball
Explanation:
Tension in the top string is the pulling tension plus the weight of the ball;
both of which break the top string.
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Mass—A Measure of Inertia
CHECK YOUR NEIGHBOR
When the string is pulled down quickly, the bottom string
breaks, which best illustrates the _______.
A.
B.
C.
D.
weight of the ball
mass of the ball
volume of the ball
density of the ball
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Mass—A Measure of Inertia
CHECK YOUR ANSWER
When the string is pulled down quickly, the bottom string
breaks, which best illustrates the _______.
A.
B.
C.
D.
weight of the ball
mass of the ball
volume of the ball
density of the ball
Explanation:
It is the “laziness” of the ball that keeps it at rest, resulting in the breaking
of the bottom string.
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Net Force
• Net force is the combination of all forces
that change an object’s state of motion.
Example: If you pull on a box with 10 N and a friend
pulls oppositely with 5 N, the net force is 5 N
in the direction you are pulling.
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Net Force
CHECK YOUR NEIGHBOR
A cart is pushed to the right with a force of 15 N while being
pulled to the left with a force of 20 N. The net force on the
cart is _______.
A.
B.
C.
D.
5 N to the left
5 N to the right
25 N to the left
25 N to the right
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Net Force
CHECK YOUR ANSWER
A cart is pushed to the right with a force of 15 N while being
pulled to the left with a force of 20 N. The net force on the
cart is _______.
A.
B.
C.
D.
5 N to the left
5 N to the right
25 N to the left
25 N to the right
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Net Force
Vector quantity
 a quantity whose description requires both
magnitude (how much) and direction (which
way)
 can be represented by arrows drawn to scale,
called vectors
o Length of arrow represents magnitude, and
arrowhead shows direction
Examples: force, velocity, acceleration
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The Equilibrium Rule
The equilibrium rule
 the vector sum of forces acting on a nonaccelerating object equals zero
 in equation form: F = 0
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The Equilibrium Rule
Example: A string holding up a bag of flour
Two forces act on the bag of flour:
 tension force acts upward
 weight acts downward
The forces are equal in magnitude and opposite in
direction; when the forces are added they cancel to zero
and the bag of flour remains at rest.
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The Equilibrium Rule
CHECK YOUR NEIGHBOR
The equilibrium rule, F = 0, applies to _______.
A.
B.
C.
D.
vector quantities
scalar quantities
both of the above
neither of the above
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The Equilibrium Rule
CHECK YOUR ANSWER
The equilibrium rule, F = 0, applies to _______.
A.
B.
C.
D.
vector quantities
scalar quantities
both of the above
neither of the above
Explanation:
Vector addition takes into account + and - quantities that can cancel to
zero. Two forces (vectors) can add to zero, but there is no way that two
masses (scalars) can add to zero.
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Support Force
Support force (normal force) 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.
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The Support Force
CHECK YOUR NEIGHBOR
When you stand on two bathroom scales with one foot on
each scale, and with your weight evenly distributed, each
scale will read _______.
A.
B.
C.
D.
your weight
half your weight
zero
more than your weight
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The Support Force
CHECK YOUR ANSWER
When you stand on two bathroom scales, with one foot on
each scale and with your weight evenly distributed, each
scale will read _______.
A.
B.
C.
D.
your weight
half your weight
zero
more than your weight
Explanation:
You are at rest on the scales, so F = 0. The sum of the two upward
support forces is equal to your weight.
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Equilibrium of Moving Things
Equilibrium
 a state of no change with no net force acting
o static equilibrium
Example: Hockey puck at rest on slippery ice
o dynamic equilibrium
Example: Hockey puck sliding at constant speed on
slippery ice
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Equilibrium of Moving Things
Equilibrium test
 whether something undergoes changes in
motion
Example: A refrigerator at rest is in static equilibrium. If it
is moved at a steady speed across a floor, it is
in dynamic equilibrium.
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Equilibrium of Moving Things
CHECK YOUR NEIGHBOR
A bowling ball is in equilibrium when it _______.
A.
B.
C.
D.
is at rest
moves steadily in a straight-line path
Both of the above
None of the above
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Equilibrium of Moving Things
CHECK YOUR ANSWER
A bowling ball is in equilibrium when it _______.
A.
B.
C.
D.
is at rest
moves steadily in a straight-line path
Both of the above
None of the above
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The Force of Friction
Friction
 occurs when objects rub against one another
 applies to solids, liquids, and gases
 acts in a direction to oppose motion
Example: When an object falls down through air, the
force of friction (air resistance) acts upward.
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The Force of Friction
 depends on the kinds of material and how much they are
pressed together
 is due to tiny surface bumps and to “stickiness” of the
atoms on a material’s surface
Example: Friction between a crate on a smooth wooden
floor is less than that on a rough floor.
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The Force of Friction
CHECK YOUR NEIGHBOR
The force of friction can occur _______.
A.
B.
C.
D.
with sliding objects
in water
in air
All of the above
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The Force of Friction
CHECK YOUR ANSWER
The force of friction can occur _______.
A.
B.
C.
D.
with sliding objects
in water
in air
All of the above
Comment:
Friction can also occur for objects at rest. If you push horizontally on your
book and it doesn’t move, then friction between the book and the table is
equal and opposite to your push.
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The Force of Friction
CHECK YOUR NEIGHBOR
When Josh pushes a refrigerator across a kitchen floor at a
constant speed, the force of friction between the
refrigerator and the floor is _______.
A.
B.
C.
D.
less than Josh’s push
equal to Josh’s push
equal and opposite to Josh’s push
more than Josh’s push
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The Force of Friction
CHECK YOUR ANSWER
When Josh pushes a refrigerator across a kitchen floor at a
constant speed, the force of friction between the
refrigerator and the floor is _______.
A.
B.
C.
D.
less than Josh’s push
equal to Josh’s push
equal and opposite to Josh’s push
more than Josh’s push
41
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The Force of Friction
CHECK YOUR NEIGHBOR
When Josh pushes a refrigerator across a kitchen floor at
an increasing speed, the amount of friction between the
refrigerator and the floor is _______.
A.
B.
C.
D.
less than Josh’s push
equal to Josh’s push
equal and opposite to Josh’s push
more than Josh’s push
42
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The Force of Friction
CHECK YOUR ANSWER
When Josh pushes a refrigerator across a kitchen floor at
an increasing speed, the amount of friction between the
refrigerator and the floor is _______.
A.
B.
C.
D.
less than Josh’s push
equal to Josh’s push
equal and opposite to Josh’s push
more than Josh’s push
Explanation:
The increasing speed indicates a net force greater than zero. The
refrigerator is not in equilibrium.
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Speed and Velocity
Speed
 defined as the distance covered per amount of
travel time
 units are meters per second
 in equation form
speed = distance covered
time

Example: A girl runs 6 meters in 1 second. Her speed is
6 m/s.
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Speed and Velocity
Average speed
 the entire distance covered divided by the total
travel time
 doesn’t indicate various instantaneous speeds
along the way
 in equation form:
average speed = total distance covered
travel time
Example: Drive a distance of 80 km in 1 hour and your
average speed is 80 km/h.
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Speed and Velocity
Instantaneous speed is the speed at any
instant.
Velocity
 a description of how fast and in what direction
 a vector quantity
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Speed and Velocity
CHECK YOUR NEIGHBOR
The average speed of driving 30 km in 1 hour is the same
average speed as driving _______.
A.
B.
C.
D.
30 km in one-half hour
30 km in two hours
60 km in one-half hour
60 km in two hours
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Speed and Velocity
CHECK YOUR ANSWER
The average speed of driving 30 km in 1 hour is the same
average speed as driving _______.
A.
B.
C.
D.
30 km in one-half hour
30 km in two hours
60 km in one-half hour
60 km in two hours
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Speed and Velocity
 Constant speed is steady speed, neither
speeding up nor slowing down.
 Constant velocity is constant speed and
constant direction (straight-line path with no
acceleration).
 Motion is relative to Earth, unless otherwise
stated.
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Acceleration
Galileo first formulated the
concept of acceleration in
his experiments with
inclined planes.
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Acceleration
Acceleration
 is the rate at which velocity changes over time
 involves a change in speed, direction, or both
speed and direction
Example: Car making a turn
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Acceleration
 in equation form:
acceleration = change of velocity
time interval

Example: If in 1 second you steadily increase your
velocity from 30 km/h to 35 km/h, and in the
next 1 second you steadily increase your
velocity from 35 km/h to 40 km/h, you change
your velocity by 5 km/h each second.
Your acceleration is 5 km/h/s.
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Acceleration
CHECK YOUR NEIGHBOR
An automobile cannot maintain a constant speed when
_______.
A.
B.
C.
D.
accelerating
rounding a curve
Both of the above
Neither of the above
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Acceleration
CHECK YOUR ANSWER
An automobile cannot maintain a constant speed when
_______.
A.
B.
C.
D.
accelerating
rounding a curve
Both of the above
Neither of the above
Comment:
When rounding a curve, the automobile is accelerating because it is
changing direction.
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Acceleration
CHECK YOUR NEIGHBOR
Acceleration and velocity are actually _______.
A.
B.
C.
D.
the same
rates, but for different quantities
the same when direction is not a factor
the same in free-fall situations
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Acceleration
CHECK YOUR ANSWER
Acceleration and velocity are actually _______.
A.
B.
C.
D.
the same
rates, but for different quantities
the same, when direction is not a factor
the same in free-fall situations
Explanation:
Velocity is the rate at which distance changes over time; acceleration is
the rate at which velocity changes over time.
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Acceleration
Free-fall
• falling under the influence of gravity
only—with no air resistance
o Freely falling objects on Earth gain
speed at the rate of 10 m/s each
second (more precisely, 9.8 m/s2).
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Acceleration
CHECK YOUR NEIGHBOR
If a falling object gains 10 m/s each second it falls, its
acceleration is _______.
A.
B.
C.
D.
10 m/s
10 m/s per second
Both of the above
Neither of the above
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Acceleration
CHECK YOUR ANSWER
If a falling object gains 10 m/s each second it falls, its
acceleration is _______.
A.
B.
C.
D.
10 m/s
10 m/s per second
Both of the above
Neither of the above
Explanation:
It is common to express 10 m/s per second as 10 m/s/s, or
10 m/s2.
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Acceleration
CHECK YOUR NEIGHBOR
A free-falling object has a speed of 30 m/s at one instant.
Exactly one second later, its speed will be _______.
A.
B.
C.
D.
the same
35 m/s
more than 35 m/s
60 m/s
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Acceleration
CHECK YOUR ANSWER
A free-falling object has a speed of 30 m/s at one instant.
Exactly one second later, its speed will be _______.
A.
B.
C.
D.
the same
35 m/s
more than 35 m/s
60 m/s
Explanation:
One second later, its speed will be 40 m/s, which is more than
35 m/s.
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