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NOTES – UNIT 3: MOTION & NEWTON’S LAWS CHAPTER 4– The Laws of Motion I. The First Two Laws of Motion A. Newton’s Laws - Sir Isaac Newton (1642–1727) able to state rules that describe the ________________ of ____________ on the motion of objects B. The First Law of Motion ***An object moving at a constant velocity keeps moving at that velocity unless an unbalanced net force acts on it (LAW OF INERTIA)*** C. Inertia & Mass --inertia-- the tendency of an object to resist any change in its motion - If object is moving it wants to ______________ _________________ - If object is at rest it wants to ______________ at ______________ UNLESS…. …_________________ forces act on it! -The _____________ of an object remains ________________… UNLESS… … a force ______________________ it! -The ________________ of an object is related to its _______________ -The _________________ the mass of an objectthe _____________ its inertia -- mass -- the amount of matter an object has -- weight -- the amount of mass PLUS the force of gravity acting on an object -Force is calculated using units of _____________ AND ___________ (or g) these units combine into a unit called a _______________ (mass + acceleration) D. The Second Law of Motion ***The acceleration of an object is in the same direction as the net force on the object *** 1.) Force & Acceleration -Acceleration can be calculated from the following equation: Force = mass x acceleration Mass = Force / acceleration Acceleration = Force / Mass REMEMBER: acceleration is the change in velocity divided by the time it takes for the change to occur HINT: Now for problems you may have to solve for acceleration first before dividing the force!!! 2.) Mass & Acceleration -The acceleration of an object _____________ on its ____________ as well as the ____________ exerted on it - MASS vs. WEIGHT: An object will always have the same MASS (amount of matter) no matter where that object is….Translation: __________ STAYS THE ____________! An object’s WEIGHT (mass + force of gravity) may be different in different places in the universe because of different forces of gravity…Translation: _______________ CAN _________________! II. Gravity A. What is Gravity? -- gravity -- attractive force between any 2 objects depends on the _________________ of the objects & the ___________________ between them -Increasing mass increases an objects gravitational force! - Decreasing distance between objects increases gravitational force! 1.) Gravity – A Basic Force -The “Big 4” Forces: _________________________ _________________________ Force _________________________ Force _________________________ Force B. Law of Universal Gravitation _______ universal gravitational constant _______ distance between two masses ____&_____ the two masses TRANSLATION: Law of Universal Gravitation enables the force of _____________ to be calculated between any 2 objects if their ____________ & the ______________ between them is ______________ 1.) Range of Gravity - No matter how far apart 2 objects are, the gravitational force between them ______________ completely goes to __________ Gravity is a __________--_____________ FORCE C. Earth’s Gravitational Acceleration - When all forces except gravity acting on a falling object can be ignored, the object is said to be in ____________ __________ -Close to Earth’s _______________, the acceleration of a falling object in free fall is about ___________ - Symbol for acceleration of gravity ____ -By Newton’s 2nd law of motion force of Earth’s gravity on a falling object = object’s mass times the acceleration of gravity… ____ = _____ x _____ UNIT USED = _________________ (N) 1.) Weight W=m x g (Weight = mass x gravitational constant – 9.8 m/s²) ***Weight is a ______________ *** ***Mass is a measure of the amount of _______________ an object contains*** D. Weightlessness & Free Fall - If gravitational forces never disappear how does one become “__________________” (example: astronauts in space)? -Objects will seem to float because they are all ________________ with the _____________ __________________ astronaut & ship are falling towards Earth but falling at the SAME _________________ E. Projectile Motion - Earth’s gravity causes projectiles to follow a ____________ ____________ 1.) Horizontal & Vertical Motion -When you throw a ball force exerted ____________ the ball ________________ to give it HORIZONTAL MOTION -Horizontal Velocity of ball is _____________ (*ignoring air resistance*) -When you let go of the ball, _____________ pulls it _______________ giving it VERTICAL MOTION ball travels in a curve 2.) Horizontal & Vertical Distance -If a ball as thrown in a perfectly horizontal direction, would it take longer to reach the ground than a dropped a ball from the same height? -_________!!! They would drop at the same time! -Both balls travel the _____________ ________________ distance in the same amount of time thrown ball travels a ______________ __________________ distance F. Centripetal Force - When a ball enters a curve it is accelerating because its _____________ is _________________ (even if its speed does not change) -When a ball goes around a curve change in the direction of the velocity is _____________ the _______________ of the curve --centripetal acceleration-- acceleration toward the center of a curved or circular path --centripetal force-- net force exerted toward the center of a curved path 1.) Centripetal Force & Traction -A car rounds a curve on a highway ______________ force acts on the car to keep it moving in a ____________ path Centripetal Force is the ____________ force (traction) between the ____________ & ___________ surface III. Newton’s Third Law -When one object exerts a force on a second object the second one exerts a force on the first that is equal in strength & opposite in direction A. Action & Reaction - When a force is applied in nature a ________________ force occurs at the ___________ __________ -Even though the forces are equal, they are _________ ____________ because they act on ___________________ ________________ EXAMPLE: A swimmer “acts” on the water, the “reaction” of the water pushes the swimmer forward a net force, or unbalanced force, acts on the swimmer so a change in their motion occurs B. Momentum --momentum-- a product of mass & velocity - Momentum symbol _______ - Unit for momentum _______ 1.) Force & Changing Momentum -By combining ____________________ equation & ____________ equation Newton’s 2nd Law Equation: ***_____________ Momentum mvf ***_____________ Momentum mvi C. Law of Conservation of Momentum -__________________ of an object doesn’t change…. …UNLESS …its ____________, _______________, or both change! -Momentum can be ___________________from one object to another! Law of Conservation of Momentum: If a group of objects exerts forces only on each other their total momentum doesn’t change 1.) When Objects Collide - Results of a collision depend on the momentum of ____________ ________________ - When an object hits another from behind momentum occurs in the ______________ direction - When an object hits another head on with the same force momentum is __________ - If one object hits another head on with the more/less force momentum is _______________________