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Forces and Motion
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Forces What is a Force? -A push or pull on an object -UNITS: NEWTONS (N)
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What is a Newton? 1 Newton of force will cause a 1 kg object to experience 1 m/s 2 of acceleration.
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Force causes changes in ___________ Therefore, it causes __________________ Because force deals with VELOCITY- it has magnitude and direction Therefore force is a vector VELOCITY! ACCELERATION!
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Force cont. A force can cause… a resting object to move, or … A moving object to accelerate How? By changing the object’s speed or direction.
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Types of Forces- Applied – contact force in the direction the object is moving (F a ) Tension- caused by a rope, cable, ect., directed away from the object (F t ) Normal- caused by a surface (F n ) Friction- opposes the motion of objects, must have contact (F f ) Force of gravity- force at a distance, caused by attraction between two objects (F g )
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Applied Force Examples
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Tension Force Examples
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Normal Force Examples
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Friction is a force: Friction is a force that opposes motion between two surfaces that are in contact There are two main types of friction: Static- between stationary objects (“static”= “stationary”) Ex- the force that is keeping this block from sliding downhill Kinetic- friction of movement NOTICE: three types (on chart): Sliding,Rolling,Fluid Complete the concept map for the 4 types of friction! Use your textbook (pages 332-334)
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FRICTION STATIC SLIDINGROLLINGFLUID The friction between surfaces that are stationary force that exists when objects slide past each other force that exists when a round object rolls over a flat surface (usually less than sliding friction) force that exists when an object moves through a fluid (air, water) a book sitting on a table -hockey puck on ice -child going down a slide -a sled down hill -a roller blade on a sidewalk -bowling ball on bowling alley -a car driving down the road -swimmer swimming through pool is defined as & an example is
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Can you think of a situation in which you would want to increase friction? How can we decrease friction?
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The force of Gravity: objects that have mass are attracted to one another Gravity is an attractive force pulls objects together Earth’s gravity acts toward the center of the Earth.
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WEIGHT: equal to Force of GRAVITY (Fg) Not the same as MASS!!! DO NOT CONFUSE THE TWO “GRAVITIES!” FORCE of Gravity= FORCE in NEWTONS (an object’s mass x the acceleration due to gravity) ACCELERATION due to Gravity= 9.8 m/s 2 So, W = mg and F = ma
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Concept REWIND So why don’t we get sucked into the center of the earth?
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NORMAL FORCE That upward force that balances gravity when you are standing on a surface Can you think of other forces that can oppose gravity?
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Tension and Friction Tension force can also oppose gravity Air resistance is a type of frictional force: (also called “Drag”)
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AIR RESISTANCE: acts in the direction opposite to the motion & reduces acceleration.
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Forces can be COMBINED: Net Force: F net : the combination of all of the forces acting on the object Use Free Body Diagrams to show the net force: Remember the Units? NEWTONS
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Free body diagrams: Book on desk
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Free fall with air resistance: (no friction)
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Balanced Forces: Fnet = 0 (the net force is zero) and there is no change in the object’s motion. rest OR moving at a constant velocity Can be at rest OR moving at a constant velocity Example: Tug of war, pushing a piano, car moving at a constant velocity
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Unbalanced Forces F net is NOT equal to zero The object accelerates in the direction of the net force (can cause it to speed up OR slow down) Fig 14, p.332 http://www.darvill.clara.net/enforcemot/friction.h tm
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Decide if the following objects have balanced or unbalanced net forces. 1. An airplane is flying at 150 km per hour for 30 minutes. 1. Balanced= no acceleration! 2. A book sitting on a table. 1. Balanced= no acceleration! 3. A man sprinting to the finish line, accelerating at 2 m/s each second. 1. Unbalanced= acceleration!
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A) Historical Development 1) Aristotle (384 BC- 322 BC): Incorrectly proposed that force is required to keep an object moving
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Newton (1643 – 1727): Defined mass and force; Introduced 3 Laws of Motion Newton’s Laws of Motion
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Newton’s 1st Law of Motion The motion of an object does not change if its net force is zero. Basically -an object at rest will stay at rest or an object in motion will stay in motion unless an unbalanced force acts on it. Example: Soccer ball will remain (at rest) on the grass unless a force acts on it
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1 st Law Inertia is the tendency of an object to resist changes in its velocity: whether in motion or motionless. These pumpkins will not move unless acted on by an unbalanced force.
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1 st Law Once airborne, unless acted on by an unbalanced force (gravity and air – fluid friction), it would never stop!
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1 st Law Unless acted upon by an unbalanced force, this golf ball would sit on the tee forever.
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Sometimes called the “Law of Inertia” a) Inertia: the tendency of an object to resist being moved or, if the object is moving, to resist a change in speed or direction. 1) Car crash: You continue forward because of inertia “Science and the Consumer” p.348
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Newtons’s 1 st Law and You Don’t let this be you Adonis! Wear your seat belt ! Because of inertia, objects (including you) resist changes in their motion. When the car going 80 mi/hour is stopped by the brick wall, your body keeps moving at 80 mi/hour.
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How is inertia related to mass? P 347 Mass is a measure of inertia. Who would you rather be tackled by…a toddler or a defensive lineman? What is easier to move? An empty garbage can or a garbage can full of lead? Why? The empty garbage can has less mass= less inertia= less resistance to being accelerated.
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2 nd Law
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The net force of an object is equal to the product of its mass and acceleration, or F=ma.
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2 nd Law When mass is in kilograms and acceleration is in m/s/s, the unit of force is in newtons (N). One newton is equal to the force required to accelerate one kilogram of mass at one meter/second/second. 1 N = 1 kg x 1 m/s 2
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“the acceleration of an object is equal to the net force acting on it divided by the object’s mass.” Units: F= N M= g A= m/s 2 = N/kg See Math Skills p.350 Acceleration = Net Forcea = F F=ma Mass m Newton’s 2nd Law of Motion
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Mass: the amount of matter in an object Weight: measure of the gravitational force Units for weight = N Basically Newton’s 2nd Law W is Force g is Acceleration Weight = Mass x Acceleration due to gravity W = mg g = 9.8 m/s 2 W=mg F = ma Weight is a result of F=ma
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Rewind Do you remember Inertia? How is this related to mass? How is that different than weight?
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Mass is a measure of the inertia of an object; weight is a measure of the force of gravity acting on an object. Your weight on Earth is affected by Earth’s gravity You would weigh less on the Moon b/c gravity on Moon is less You would weigh almost nothing in interstellar space
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Newton’s Third Law of Motion & Momentum Newton’s Third Law “when one object exerts a force on a 2nd object, the 2nd object exerts an equal and opposite force on the first object.” Two forces are called action and reaction forces
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Example: Pushing your hand against a wall 1) Hand pressing on wall = ACTION 2) Wall exerting a force on hand = REACTION Equal & opposite Action and Reaction Forces:
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Action-Reaction forces do not cancel each other out Example: Swimming action-reaction forces do not act on the same object. Action= pushing backward on the water, Reaction = water pushing forward on the swimmer causes the swimmer to move because that force is overcoming the friction on the swimmer.
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Action-reaction forces can produce motion, but not all do- it depends on what other forces are acting on the objects. Pushing a wall = no motion (because the wall has other forces acting on it…gravity, etc) Swimming = motion (because force of water is greater than friction on the swimmer)
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Rewind State in simple terms Newton’s Three Laws. (in a way you can remember which is which) 1 st Law of Inertia (An object at rest will stay at rest…) 2 nd- F=MA 3 rd Action-Reaction (explains conservation of momentum)
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Extension- do not teach in 2014
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Newton’s Laws explain Projectile Motion: Projectile motion= the curved path that an object follows when thrown, launched, or otherwise projected near the surface of the Earth [Fig 13, p.358]
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What FORCES are affecting the acceleration? (A=F/M) Force of the “throw”, Air resistance and gravity Water Balloon Toss- http://library.thinkquest.org/2779/
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How does this affect the acceleration? The combination of an initial forward velocity and the downward force of gravity causes the ball to follow a curved path. Animation: http://www.physicsclassroom.com/mmedia/vectors/hlp.cfm Animation: http://www.physicsclassroom.com/mmedia/vectors/hlp.cfm
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Another Law Law of conservation of Momentum
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Momentum: the product of the mass & velocity of an object An object has a large momentum if the product of its mass and velocity is large. SI Units: kg x m/s Momentum=mass x velocity p=mv
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Law of Conservation of Momentum: momentum cannot be created or destroyed, so the total momentum is conserved [Fig 20, p.364] In a closed system, the loss of momentum of one object equals the gain in momentum of another object—momentum is conserved.
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Usually that’s not the whole story There’s one more concept to explain the acceleration of an object
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Impulse Impulse is related to momentum and force Definition: Change in Momentum over time SI Units: N(s) Impulse=Force x TimeI=Ft
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The fact that impulse depends on both force and time means that there is more than one way to apply a large impulse to an object
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