Newton`s First Law of Motion- Inertia
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Transcript Newton`s First Law of Motion- Inertia
Newton’s First Law of MotionInertia
Chapter 4
The History of the Concept of Motion
Aristotle
Fourth Century B.C.
Divided motion into two types
Natural (gravity)
Violent (imposed)
Copernicus
First to interpret astronomical observations as
movement of the Earth around the sun
Worked in secret to escape persecution
Galileo
Supported Copernicus’ ideas and was placed under
house arrest
Demolished the notion that a force was necessary to
keep an object moving
Newton’s First Law
Called the law of inertia
Every object continues in a state of rest, or of
motion in a straight line at constant speed,
unless it is compelled to change that state by
forces exerted on it
Desk will remain at rest relative to the floor unless a
force moves it
A hockey puck will slide along a frictionless surface
at a constant velocity unless acted on by a force to
make it stop or change direction
Question
If the force of gravity between the sun and
planets suddenly disappeared, what type
of path would the planets follow?
Mass-A measure of Inertia
The amount of inertia an object has
depends on its mass
The more mass an object has, the greater
its inertia and the more force it takes to
change its state of motion
Empty can
Can full of sand
Can full of lead
Mass is not volume
The SI unit of measurement for mass is
the kilogram
Objects can have a large mass and small
volume (more dense) or a small mass and
large volume (less dense)
Which has more mass a car battery or a
pillow?
Which has a greater volume?
Which has more inertia?
Mass is not weight
Mass is often confused with weight
Mass is more fundamental than weight
Mass is a measurement of the amount of
material in a given object
Weight is a measurement of a gravitational force
acting on an object
Weight depends on an objects location
The same force is needed to shake a bowling ball
on Earth, on the Moon, or in outer space even
though gravity varies
Questions
Does a 2-kg iron block have twice as much inertia as a
1-kg iron block?
Twice as much mass?
Twice as much volume?
Twice as much weight at the same location?
Does a 2-kg bunch of bananas have twice as much
inertia as a 1-kg loaf of bread?
Twice as much mass?
Twice as much volume?
Twice as much weight at the same location?
One kilogram weighs 9.8 Newtons
The SI unit for force is the Newton (kg·m/s2)
A Newton is equal to slightly less than a quarterpound
In Newtons (N) a 1-kg object weighs 9.8N
Due to the pull of gravity on objects near the
surface of Earth at 9.8m/s2
Weight (N) = mass (kg) x acceleration of gravity
1-kg x 9.8m/s2 = 9.8 kg·m/s2
w=mg
Net Force
In the absence of force, objects at rest
remain at rest and objects in motion
remain in motion
More specifically, in the absence of a net
force, objects do not change their state of
motion
If equal and opposite forces act upon an
object at rest, will the object remain at
rest?
Net Force
Forces combine to
produce a net force
It is the net force that
changes an objects
state of motion
Applied forces in the
same direction are
added
Applied forces in
opposite directions
are subtracted
Equilibrium
Equilibrium occurs when the net forces on an
object equal zero
When an object at the surface of the earth is at
rest, more than one force is acting on the object
Gravity is one force
The other is the support force called the normal
force (N)
A book at rest on a table
The book is pushing down on the table
The table is pushing back on the book with an equal
and opposite force
The book is in equilibrium
Question
When you step on a bathroom scale, the
downward force supplied by your feet and the
upward force supplied by the floor compress a
calibrated spring. The compression of the spring
gives you your weight. In effect, the scale
measures the floor's support force. What
happens if you stand on two scales with your
weight divided equally between them? What
happens if you stand with more of your weight
on one foot than the other?
Equilibrium
Spring scales are used to measure
compression, like in the bathroom scale, and
tension, like when an object hangs from a rope
Tension occurs when the atoms in the rope are
stretched rather than compressed
How much tension is in a rope when you hang
from it?
How much tension is in two ropes if you grab
one with each hand?
The total tension force upward will balance your
weight, which acts downward
You will be in equilibrium
Vector addition of forces
When looking at non-vertically orientated
spring scales, vector addition is needed to
determine the tension
Tension and weight are forces and, like
velocity, are vector quantities
They have both magnitude and direction
As the angles increase from the vertical,
the tension in the spring scales will also
increase
Vector addition of forces
The Moving Earth
Consider a bird resting at the top of a tall tree
and a big, juicy worm on the ground
If the Earth is revolving around the sun at
30km/s, why doesn’t the ground (and the worm)
zoom by the bird if it flies down from the branch?
Is the Earth at rest?
Invoke the idea of inertia to understand this
scenario: the ground, the tree, the worm, and the
bird are all moving at 30 km/s
All these objects are in motion and will remain in
motion until unbalanced forces act on them
The bird catches the worm without noticing the
motion of its total environment
The Moving Earth
If Joey stands next to a wall and jumps off
the ground, why doesn’t the wall slam into
him before he lands?
The speed of 30 km/s is the Earth relative to the
sun, not of Joey to the wall
If Katie is flying on a high-speed airplane
and she flips a coin over her head in the
cabin, where will the coin land?
The vertical force of gravity affects only the
vertical motion of the coin