Transcript 1 st Law

Chapter 2
Newton’s First
Law of Motion
Aristotle on Motion
(350 BC)
 Aristotle attempted to understand motion by
classifying motion as either
• (a) natural motion
• forces acting at a distance
• (b) or violent motion
• contact forces
Large object tend to 'strive harder'.
“The Earth remains at rest.”
Geocentric Model - Earth Centered Universe
Copernicus (1500's)
 "The Earth and
planets orbit the
Sun.”
 He reasoned this
from his
astronomical
observations.
Galileo (1600's)
 Scientist who supported
Copernicus
 Dropped objects with different
weights from the Leaning Tower
of Pisa
 Found that all objects fall at the
same rate if you can account for
air resistance
Friction - a force that resists motion
• e.g. air resistance and sliding on
rough surfaces
Inertia - the resistance of an object
to change in its state of motion
Demo: Ball and incline plane
Galileo’s Incline Planes
Isaac Newton (1642-1727)
His three laws of
motion first
appeared in his
book called
Principia.
Newton’s First Law
a.k.a “Law of Inertia”
A body remains at
rest or moves in a
straight line at a
constant speed
unless acted upon by
a force.
Newton’s First Law Examples
Weight and string
Card, cup, and coin
Figure 2.4
Fixing a Hammer
Demo - Coins on elbow
Demo - Lead Brick and Hammer
Demo - Table setting
Mass
the quantity of matter in an object
the measurement of the inertia
measured in kilograms (kg)
Weight
the force upon an object due to
gravity
 Weight = Mass  Acceleration of gravity
W = mg
measured in Newtons (N) in the
metric system or pounds (lb) in the
British system
The weight of a 10 kg brick is...
•
•
•
•
•
A)
B)
C)
D)
E)
98 N
10 kg
9.8 kg
10 N
98 kg
Mass and Weight should not be
confused with...
Volume
• the quantity of space an object occupies
Density
• the quantity mass per unit volume
Mass and Weight
On the Moon the gravitational force
is only 1/6 as strong as on the Earth.
In space you are “weightless” but
not “massless”.
Your mass does not depend on
where your are.
• (e.g. Earth, Moon, or space).
Location
Mass
Weight
Earth
18.4 kg
180 N
Moon
18.4 kg
30 N
Space
18.4 kg
0N
Chapter 3
Linear Motion
See Homework 5
Chapter 4
Newton’s
Second Law of
Motion
NEWTON'S 2nd LAW OF MOTION
F
a
m
F
M
a
m
F
F
a
m
M
a
m
m
F
m
1
a
m
F
a
 
aF
or
M
a


F  ma
Newtons’ Second Law
F=ma
 The acceleration of an
object is directly
proportional to the
net force acting on
the object…
 …and inversely
proportional to the
mass of the object.
Example Questions
How much acceleration does a 747
jumbo jet of mass 30,000kg
experience in takeoff when the
thrust of all of the engines is
120,000N?
Example Questions
F
F
The same net force is applied to two
blocks.
If the blue one has a smaller mass
than the yellow one, which one will
have the larger acceleration?
If the net force is parallel to the velocity, then the speed of the
object increases.
If the net force is anti-parallel to the velocity, then the speed
of the object decreases.
If the net force is perpendicular to the velocity, the direction
of the velocity changes.
Force and acceleration are vector
quantities.
If v is parallel to F, speed increases.
If v is antiparallel to F, speed
decreases.
If v perpendicular to F, direction of v
changes.
When Acceleration Is Zero - Equilibrium
Scales pushing up
Static Equilibrium
Velocity is zero
Examples:
Computer setting on a table
Normal up
Weight down
Weighing yourself on a set of scales
Hanging from a tree
Car parked on an incline
Friction
Tree
pulling up
Weight down
Normal
Weight down
Weight down
When Acceleration Is Zero...
…we say the object is in
Mechanical Equilibrium.
…the net force is zero.
For Static Equilibrium the velocity is
zero.
For Dynamic Equilibrium the
velocity is constant.
Dynamic Equilibrium
Velocity is nonzero and constant
Examples:
Driving at constant velocity
Normal up
Air resistance
Force from road
Friction
Weight down
Terminal velocity in parachuting
Weight down
When the Acceleration is g...
…the object is in Free Fall.
Consider a 1kg rock and a 1gram
feather.
– Which object weighs more?
• Answer: The rock
– On which is the gravitation force stronger?
• Answer: The rock
– Which has a greater acceleration when
dropped from rest?
• Answer: Both have the same acceleration, g.
When the Acceleration Is Less Than g...
…the object is not in Free Fall.
In this case there is a force other than
gravity.
That force is air resistance.
Air resistance depends on size and
speed.
Example: A heavy parachutists will
fall faster than a light one.
When the force of air resistance is
equal to weight of the falling object,
the object will reach a Terminal
Velocity.
See Questions on page 66,67 and
69.
After jumping from an airplane a
skydiver will fall until the air
resistance equals her weight. At
that point...
*
– A) she will fall with constant speed
– B) she will fall no farther
– C) she will fall faster
– D) she opens her parachute
– E) she will hit the ground