or … things don’t just happen all by themselves, there’s a reason

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. Or … Things don’t just happen all by themselves, there’s a reason.

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Page 1: Or … Things don’t just happen all by themselves, there’s a reason

.

Or …

Things don’t just happen all by themselves,

there’s a reason.

Page 2: Or … Things don’t just happen all by themselves, there’s a reason

350 BC - Aristotle350 BC - Aristotle

• Aristotle divided motion into 2 types :

• Natural Motion

• Objects seek their

natural resting positions

• Violent or imposed motion

Page 3: Or … Things don’t just happen all by themselves, there’s a reason

Natural Motion• Mostly considered straight up

• Or

Straight down … like a boulder falling or smoke drifting up in the air like clouds or the circular motions of the planets

• These motions were considered “natural” and not caused by forces.

Page 4: Or … Things don’t just happen all by themselves, there’s a reason

VIOLENT MOTION

• Imposed Motion

• Motion with an external cause

• The Result of forces that push or pull.

• EXAMPLES :

• A cart moving a rope tugged

a ship pushed by the force of the wind

Page 5: Or … Things don’t just happen all by themselves, there’s a reason

Natural and Violent Motion

• For almost 2000 years it was considered that if an object was moving “against its nature”, then a force of some kind was involved.

• If there were no force then there would be no motion (except vertically : falling rocks and rising smoke).

• Therefore:

• The proper state of objects is at rest.

Page 6: Or … Things don’t just happen all by themselves, there’s a reason

Nikolai Kopernik (Copernicus)

• Nicolaus Copernicus – 1473 – 1543• The Theory of the Moving Earth • The Earth was not the center of the Universe• The Earth and planets revolved around the Sun

(contrary to religious orthodoxy)

• Working in secret, Copernicus’ work was not published until the day of his death.

• Copernicus needed a champion for his ideas and he found Galileo.

THE UNIVERSEIS HELIOCENTRIC, NOT GEOCENTRIC !

Page 7: Or … Things don’t just happen all by themselves, there’s a reason

Heliocentric vs. Geocentric

• Heliocentrism is the theory that the Sun is at the center of the Universe and/or the Solar System.

• Geocentric model (in Greek: geo = Earth and centron = center) of the Universe is a disproven model which places the Earth at the center of the universe.

Page 8: Or … Things don’t just happen all by themselves, there’s a reason

Galileo Galileii

• Supported the ideas of Copernicus

•Worked for the Medici family

•Suffered house arrest the last 20 years of his life because of his support of the heliocentric universe theory

•Galileo’s work showed that forces were not necessary to keep an object moving.

Page 9: Or … Things don’t just happen all by themselves, there’s a reason

Galileo on Motion

• A Force = ANY push or pull

• Friction = The force that acts between materials that touch as they move past each other.

• Caused by surface irregularities that touch

• Galileo argued that when friction is present, a force is required to keep an object moving !

Page 10: Or … Things don’t just happen all by themselves, there’s a reason

Testing Galileo’s Theories

• If the slope is downward, speed increases

• The ball is rolling partly in the direction of Earth’s gravity

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Testing Galileo’s Theories

• If the slope is upward, speed decreases

• The ball is rolling in a direction opposed to Earth’s gravity

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Testing Galileo’s Theories

• If there is no slope, speed or velocity is constant

• The ball is not rolling with or against Earth’s gravity

! ?

Page 13: Or … Things don’t just happen all by themselves, there’s a reason

A Second test of Galileo

• 2 inclined planes facing each other

• A ball released to roll down one plane will roll up the other to nearly the same height

Page 14: Or … Things don’t just happen all by themselves, there’s a reason

A Second test of Galileo

• 2 inclined planes facing each other

• A ball released to roll down one plane will roll up the other to nearly the same height no matter what the angle of the second plane.

Page 15: Or … Things don’t just happen all by themselves, there’s a reason

A Second test of Galileo

• 2 inclined planes facing each other, one reduced to zero or a flat plane

• A ball released to roll down one plane will roll forever with only friction to slow it.

Page 16: Or … Things don’t just happen all by themselves, there’s a reason

Galileo’s Conclusions

• It is not the “nature” of the ball to come to rest as Aristotle had claimed.

• In the absence of friction, the moving ball would naturally keep moving.

• The tendency of a moving body to keep moving is called INERTIA

• (NEWTON’S 1st LAW!!!!!)

Page 17: Or … Things don’t just happen all by themselves, there’s a reason

A New Vision of the Universe

• On Christmas Day 1642, (The same year Galileo died) Sir Isaac Newton (1642 – 1727) was born.

• By age 24 (1666), Newton had developed the Laws of Motion.

Page 18: Or … Things don’t just happen all by themselves, there’s a reason

Newton’s First Law of Motion

• THE LAW OF INERTIA

• An object in motion tends to remain in motion at the same speed and in the same direction until acted upon by an external force. And an object at rest tends to remain at rest until acted upon by an external force.

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Page 20: Or … Things don’t just happen all by themselves, there’s a reason

Newton’s First Law of MotionThe Law of Inertia

• Examples:• Objects at rest – the ol’ tablecloth trick ….

• Objects in motion – a hockey puck or a table hockey disk

• Anything chucked out of the space station will move forever by virtue of its own inertia

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INERTIA- amount of resistance to a change in velocity

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NEWTON’S SECOND LAW OF MOTION

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Mass – A Measure of Inertia

• Mass = The measure of how much matter

is present

The more mass an object has, the greater the inertia

The greater the inertia, the more force it takes to change an object’s state of inertia

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Mass is NOT Volume

• Volume is a measure of the amount of space an object takes up.

• Volume is measured in cubic centimeters, cubic meters or liters

• Mass is measured in grams or kilograms

• Objects with large but equal volumes may have very different masses (and density!)

• EX : A bag of cloth and a bag of rocks

Page 25: Or … Things don’t just happen all by themselves, there’s a reason

Which has more mass ?

Which is harder to set in motion ?

Which has the greater inertia ?

Page 26: Or … Things don’t just happen all by themselves, there’s a reason

Wait !Mass is NOT Weight

• We often determine the amount of matter in an object (it’s mass) by measuring its gravitational attraction to the earth.

• Mass is more fundamental and doesn’t depend on gravity to be measurable.

• A bowling ball is just as difficult to shake in space as it is on the ground.

Page 27: Or … Things don’t just happen all by themselves, there’s a reason

Force Causes Acceleration

• If a force is applied to an object, whether it is at rest or moving, the motion will change. IT ACCELERATES.

• If the force is removed, the object will continue moving at a constant velocity.

Page 28: Or … Things don’t just happen all by themselves, there’s a reason

Newton’s Second Law of Motion

• The acceleration produced by a net force on an object is directly proportional to the magnitude of and in the same direction as the net force, and is inversely proportional to the mass of the object.

• acceleration = or a =net force

mass

Fm

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Page 30: Or … Things don’t just happen all by themselves, there’s a reason

FRICTION• Friction is a force that acts to oppose motion

between materials that are in contact with each other.

• Mainly due to irregularities between the two surfaces.

• When an object slides against another, it must rise over irregular bumps or scrape them off.

• Either way requires force.

Page 31: Or … Things don’t just happen all by themselves, there’s a reason

• The force of friction depends on the types of materials that are in contact with each other and the amount of surface in contact.

• The shape of concrete dividers is such that the rubber of the tire against the concrete is more effective at slowing a car than steel barriers against the steel side of a car. And less damaging.

FRICTION

Page 32: Or … Things don’t just happen all by themselves, there’s a reason

FREE FALL EXPLAINED• Galileo showed that falling objects accelerate equally…

• When air resistance is neglected… or

• When the air resistance is very small compared with the mass of the falling object. (but he didn’t know why)

• Galileo is said to have demonstrated this from the Leaning Tower of Pisa with a 10kg cannon ball and 1 kg stone.

Page 33: Or … Things don’t just happen all by themselves, there’s a reason

NEWTON FIGURED IT OUT• Galileo knew that an object falls

because of the force due to gravity pulling on it.

• Sir Isaac Newton’s second law of motion showed the mass of a falling object must be considered as well.

• 10 times the force acting on 10 times the mass produces the same acceleration as a smaller force acting on a smaller mass.

OUCH !

Page 34: Or … Things don’t just happen all by themselves, there’s a reason

F = mF = m..aa• Force = mass x acceleration

• Air resistance keeps things from falling at the same rate.

Styrofoam ball

golfball

Book and paper Flyingsquirrel

Page 35: Or … Things don’t just happen all by themselves, there’s a reason

Newton’s Second Law

• F = m.a

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NEWTON’S SECOND LAW OF MOTION

Page 37: Or … Things don’t just happen all by themselves, there’s a reason

Be careful bending down !

• When you bend down, if you keep in contact with a wall you will be less likely to fall.

• This is because as you push on the wall for balance, the wall pushes back on you !

Page 38: Or … Things don’t just happen all by themselves, there’s a reason

Forces and Interactions

• In simplest terms, a FORCE is a push or a pull.

• Sir Isaac Newton realized that a force is not a thing in itself but a part of a mutual action, an interaction between things.

• For example, The interaction that drives the nail is the same one that halts the hammer

Page 39: Or … Things don’t just happen all by themselves, there’s a reason

Newton’s Third Law of Motion

• For every action there is an equal and opposite reaction.

• Whenever one object exerts a force on a second object, the second object exerts an equal and opposite force on the first object.

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Page 41: Or … Things don’t just happen all by themselves, there’s a reason

Newton’s Third Law of Motion

• For every interaction, the forces always come in pairs (twos).

• The ACTION FORCE and

• The REACTION FORCE

• They are equal in strength and opposite in direction.

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A simple recipe for treating action and reaction forces

• Identify the interaction:• ACTION : Object A exerts a force on object B

• REACTION : Object B exerts a force on object A

• For Example :• ACTION : Tire pushes road • REACTION : Road pushes tire

• ACTION : Rocket pushes gas• REACTION : Gas pushes rocket

Page 43: Or … Things don’t just happen all by themselves, there’s a reason

Questions1. Does a stick of dynamite contain force?

No, force is not something an object has, like mass and volume. An object may posses the capability of exerting force on another object but it does not possess force.

2. A car accelerates along a road. Strictly speaking, what is the force that moves the car ?

It really is the road that pushes the car along ! The rotating tires push back on the road (action) and the road pushes forward on the tires (reaction) at the same time !

ACTION AND REACTION

Page 44: Or … Things don’t just happen all by themselves, there’s a reason

Action and Reaction on Different Masses

• When a cannon is fired, there is an interaction between the cannon and the cannon ball.

• The forces the cannon ball and cannon exert on each other are equal and opposite.

• The cannonball moves fast while the cannon only Kicks a bit because of the difference in their masses.

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OTHER ACTION – REACTION INTERACTIONS

• A Balloon

• A Rocket

• Or a jet

• Air foils : a bird’s wing,

• a helicopter blade

• an airplane wing

LIFT

Page 46: Or … Things don’t just happen all by themselves, there’s a reason

WHAT’S IT MEAN ?

• If the action and reaction forces are internal to a system, they cancel each other and no acceleration occurs.

• For example : Blowing on a sail when you’re IN the boat doesn’t work very well.

• If either the action or the reaction force is external to the system, then acceleration occurs.

• However, the WIND blowing on the sail can work very well !

• FOR EVERY ACTION THERE IS AN EQUAL AND OPPOSITE REACTION

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A fly gets smashed onto the windshield of a speeding bus.

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