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Forces when you throw a football or kick a soccer ball you use a force
force – a push or a pull that one body exerts on another not all forces are noticeable like a ball being kicked the floor exerts a force on your feet the atmosphere exerts a force on your body gravity pulls your body downwards forces cause motion of objects to change think of a baseball getting hit by a bat – the ball's motion & its velocity changes
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Forces forces do not always change velocity
when two or more forces act on an object at the same time, the forces combine to form the net force net force – the sum of all of the forces acting on an object if net force equals 0, then forces are balanced if net force does not equal 0, then forces are unbalanced
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Forces forces have direction, so they follow the same rules for adding as displacement SI Unit for force is the Newton (N) (kgm/s2) Ex. it takes about 3 N to lift a full can of soda insert Table 1 – pg. 73
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Forces if equal forces are exerted on an object at opposite sides, the net force on the object is zero If the forces are equal in size & opposite in direction & the motion of the object does not change the forces are called balanced forces balanced forces do not cause a change in motion insert Fig. 2c – pg. 73
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Forces when two things are pushing with unequal forces in opposite directions – a net force occurs in the direction of the larger force this causes the object to move in the direction of the net force the net force will be the difference of the forces & since they are not equal the net force is unbalanced insert Fig. 2b – pg. 73
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Forces when an object as acted upon by two forces in the same direction, the forces are combined or added together the net force on the object is found by adding the two forces ether unbalanced forces cause a change in motion insert Fig. 2a – pg. 73
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Friction if you push a ball across a floor, it will not go forever
if it is slowing down it has a negative acceleration if it is accelerating it must have a force acting on it the force that slows down & stops the ball is friction friction – the force that opposes motion between two surfaces that are touching each other
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Friction amount of friction between two surfaces depends on 2 factors
the kind of surfaces the force pressing the surfaces together
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Friction when two surfaces come into contact, the highest bumps of the surfaces come into contact (see Fig. 4) these areas where the bumps stick together are called microwelds – these are the source of friction insert Fig. 4 – pg. 74
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Friction the stronger the force pushing the surfaces together, the stronger the microwelds will be to break the microwelds and move one surface over the other, a force has to be applied insert Fig. 4 – pg. 74
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Friction imagine you are pushing a box that is so heavy it won’t slide
then the acceleration = 0 & the net force on the box = 0 there must be an opposite force canceling out your push static friction – friction between 2 surfaces that are not moving past each other push is not strong enough to break microwelds insert Fig. 5a – pg. 75
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Friction you get a friend to help push the box
the box begins to slide, but there’s still some resistance there’s now enough force to overcome the microwelds sliding friction – friction that opposes the motion of 2 surfaces sliding past one another – microwelds are constantly broken & reformed force of sliding friction is usually less than static friction insert Fig. 5b – pg. 75
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Friction not all friction is inconvenient
wheels use a special type of static friction to keep moving rolling friction – the friction between a rolling object & the surface it rolls on due partly to the microwelds between a wheel & the surface breaking & reforming rolling friction is much less than static or sliding friction insert Fig. 6 – pg. 75
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Gravity you are always exerting attractive forces on everything all around you (your desk, the building, Mars) it is the attractive force of gravity gravity – an attractive force between any two objects that depends on the masses of the objects & the distance between them
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Gravity gravity is 1 of 4 basic forces – fundamental forces
others are electromagnetic, strong nuclear, & weak nuclear in 1660s British scientist Isaac Newton looked at the motions of planets to figure out gravity relationship called the Law of Universal Gravitation – states that the gravitational force increases as the mass of either object increases & as the objects move closer together insert Fig. 7 – pg. 76
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Gravity Law of Universal Gravitation explains many things
why we feel Earth’s gravity & not the Sun’s why we don’t feel our pencil’s gravity it gives the universe its structure (all stars exert a gravitational force on each other)
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Weight anytime you are standing still, your acceleration is zero
if your acceleration is zero, then the net force on you must be zero – has Earth’s gravitational attraction for you disappeared? No Earth is still pulling you downward, but the floor exerts an upward force on you that keeps you from falling down
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Weight Earth is always going to exert a gravitational force on you
weight – the gravitational force on an object (Fg) use Fg since weight is the force due to gravity SI Unit for weight is the Newton (N) (kgm/s2) m = mass & g = gravity (9.8 m/s2)
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Weight weight and mass ARE NOT the same
weight is a force & mass is a measure of the amount of matter an object has the greater an object’s mass, the stronger the force between it & Earth so the more mass, the more it will weigh insert Table 2 – pg. 78
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If you were to go to another planet, the gravity would be different
If you were to go to another planet, the gravity would be different. Your weight would change, but your mass would be the same because the matter in your body would be the same.
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Weight a mass of 1 kg weighs 1 kg×9.8 m/s2 or 9.8 N
you can calculate the weight of anything in Newtons is you know the mass 1 N = lbs. (1 lb. = N) on the moon g = 1.6 m/s2 so you would weigh about 1/6 as much on the moon insert Fig. 9 – pg. 79
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Weight Example: Calculate your weight in Newtons.
to get your mass in kg multiply your pounds by
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Newton’s 1st Law of Motion
remember that forces can change an object’s motion Newton’s 1st Law of Motion – an object moves at a constant velocity unless an unbalanced force acts on it an object at rest will stay at rest unless a net force acts on it also called the Law of Inertia
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Newton’s 1st Law of Motion
inertia – the tendency of an object to resist any change in its motion inertia is related to the object's mass the block keeps moving forward since it is not attached to the car insert Fig. 10 – pg. 80
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Newton’s 1st Law of Motion
the greater the mass of an object, the greater its inertia Which would be easier to change the direction of, a moving bowling ball or tennis ball? harder to change the direction of a moving a bowling ball compared to a tennis ball bowling ball has more inertia
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Newton’s 1st Law of Motion
think about a car crash – cars hitting head on if someone is not wearing a seatbelt they will keep moving forward at the same speed that the car was going insert Fig. 15a – pg. 86
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Newton’s 2nd Law of Motion
Newton’s 1st Law described how motion & force are connected if a force is acted upon an object, it will have a motion with an acceleration
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Newton’s 2nd Law of Motion
if a bigger force is exerted on an object, the object will have more acceleration think of throwing versus tossing a ball insert Fig. 11 – pg. 81
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Newton’s 2nd Law of Motion
mass will also effect how much speed an object has when a force is applied to it think of throwing a baseball compared to a softball softball has more mass & it goes slower with the same amount of force applied to it softball will also have less acceleration due to its mass insert Fig. 12 – pg. 82
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Newton’s 2nd Law of Motion
Newton’s 2nd Law of Motion describes how force, mass, & acceleration are connected Newton’s 2nd Law of Motion – the net force acting on an object causes the object to accelerate in the direction of the net force
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Newton’s 2nd Law of Motion
acceleration is determined by the size of the force & the mass of the object
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Newton’s 2nd Law of Motion
can also use the 2nd Law to calculate the net force on an object to solve for the net force multiply both sides by the mass
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Newton’s 2nd Law of Motion
Example: When a tennis player hits a ball with an acceleration of 5,000 m/s2. If the ball has a mass of 0.06 kg, what is the net force exerted on the ball? known: mass (m) = 0.06 kg, acceleration (a) = 5,000 m/s2 set up problem:
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Newton’s 2nd Law of Motion
Example: You push a wagon that has a mass of 12 kg. If the net force on the wagon is 6 N south, what is the wagon’s acceleration? 0.5 m/s2 south
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Newton’s 2nd Law of Motion
when objects fall they are pulled down by the force of gravity there is another force that acts on the objects air resistance – a friction-like force that opposes the motion of objects that move through the air like friction it acts in the opposite direction of the motion of the object
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Newton’s 2nd Law of Motion
amount of air resistance depends on the speed, size, and shape of the object that is falling this is why feathers fall more slowly than pennies if there were no air resistance all objects would fall at the same rate (see Fig. 16 – objects falling in a vacuum) insert Fig. 16 – pg. 87
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Newton’s 2nd Law of Motion
to decrease air resistance is to make the object less spread out see Figure 17 insert Fig. 17 – pg. 88
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Newton’s 2nd Law of Motion
as speed increases, the force of air resistance increases as objects fall, they accelerate & its speed increases the force of air resistance increases until it becomes large enough to cancel the force of gravity at that point the forces on the object are balanced & the object falls with a constant speed
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Newton’s 2nd Law of Motion
known as terminal velocity – the maximum speed an object will reach when falling through air terminal velocity depends on object’s size, shape, & mass insert Fig. 18 – pg. 88
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Newton’s 2nd Law of Motion
force of gravity also has a direction associated with it always downward when an object is only affected by the force of gravity, it is said to be in free fall
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Newton’s 2nd Law of Motion
when you measure weight with a scale, you are at rest & the net force on you is zero so the scale supports you & balances your weight by exerting an upward force (seen by the dial moving) insert Fig. 19a – pg. 89
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Newton’s 2nd Law of Motion
now if you were in an elevator that was falling if you and the scale are in free fall, then you are no longer pushing down on the scale (no weight read on the scale) insert Fig. 19b – pg. 89
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Newton’s 2nd Law of Motion
same thing is happening in space everything in an orbiting space shuttle is falling downward toward Earth (freefall) they are moving very fast in orbit around the Earth so they do not fall to the Earth if they (or even the Moon) stopped orbiting the Earth they would fall towards the Earth in freefall since there is no force in the shuttle to support the objects, they seem to be floating
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Newton’s 3rd Law of Motion
When you push on a wall – what happens? nothing What about if you had roller skates on? you’ll go backwards Newton’s 3rd Law explains action–reaction pairs
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Newton’s 3rd Law of Motion
Newton’s 3rd Law Motion – when 1 object exerts a force on a 2nd object, the 2nd one exerts a force on the 1st that is equal in size & opposite in direction for every action force there is an equal & opposite reaction force
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Newton’s 3rd Law of Motion
think of a trampoline when you jump on a trampoline you exert a downward force on the trampoline the trampoline then exerts an equal force upward on you
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Newton’s 3rd Law of Motion
if forces are equal in size & opposite in direction, objects do not move insert Fig. 13a – pg. 84 if one force is bigger than other, object will move in direction of larger force insert Fig. 13b – pg. 84
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Newton’s 3rd Law of Motion
if you threw a baseball while you were on skates, what would happen? rocket’s work the same way as the rocket’s engine exerts a force on the gases in the engine (burning fuel) they escape out the back of the rocket the gases then exert a force on the rocket & push it forward insert Fig. 24 – pg. 92
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Centripetal Force when an object goes around a curve, it changes its velocity (it is changing its direction) the direction is towards the center of the curve when the ball accelerates towards the center, an unbalanced force is acting on the ball and pushing it towards the center – known as the centripetal force
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Centripetal Force when a car goes around a sharp curve, the centripetal force is the friction between the tires & the road if the road is slippery the centripetal force may not be strong enough to overcome a car’s inertia – so the car would keep going straight insert Fig. 21 – pg. 90
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Force & Momentum if you caught a fast moving baseball it stings because it exerted a force on your hand remember from before that acceleration is the difference between the initial & final velocity, divided by time and from Newton’s 2nd Law that the net force on an object equals its mass × its acceleration
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Force & Momentum we can now rewrite the 2nd Law to say:
mvf is the final momentum mvi is the initial momentum equation states that the net force exerted on an object can be calculated by dividing its change in momentum by time
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Force & Momentum can use 2nd & 3rd laws to describe what happens when objects collide momentum of an object will not change unless its mass, velocity, or both change momentum can be transferred from one object to another Law of Conservation of Momentum – if no external forces act on a group of objects, their total momentum does not change
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Force & Momentum see pool balls – when balls get hit, the momentum of the cue ball has all the momentum & then transfers some of its momentum to the other balls momentum is conserved
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