* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Law of Inertia
Classical mechanics wikipedia , lookup
Coriolis force wikipedia , lookup
Relativistic mechanics wikipedia , lookup
Newton's theorem of revolving orbits wikipedia , lookup
Center of mass wikipedia , lookup
Jerk (physics) wikipedia , lookup
Fictitious force wikipedia , lookup
Modified Newtonian dynamics wikipedia , lookup
Equations of motion wikipedia , lookup
Centrifugal force wikipedia , lookup
Rigid body dynamics wikipedia , lookup
Seismometer wikipedia , lookup
Classical central-force problem wikipedia , lookup
Aristotle ◦ First to study motion  Galileo ◦ Dropped big and small rock  Fell at same rate ◦ If no interference – motion will go on forever  Newton formalized ideas ◦ At 23 (1665) he overthrew Aristotle’s 2000 year old ideas ◦ LAWS OF MOTION  Force ◦ The cause of an acceleration (or the change in an object’s motion) ◦ Force = mass x acceleration ◦ Units:  Newton – SI Unit of Force (kg x m/s2)  Dyne – CGS Unit of Force (g x cm/s2)  Pound – English Unit of Force (slug x ft/s2)  Inertia ◦ The tendency of an object to maintain its state of motion  Equilibrium ◦ The state of a body in which there is no change in its motion  Weight ◦ The magnitude of the force of gravity acting on an object ◦ Weight = mass x acceleration  Law of Inertia ◦ An object continues in its state of rest, or of uniform motion in a straight line, unless it is acted upon by an unbalanced force  “Object” – any body  “Continues” – keeps rest or moving  “Unbalanced force” – net force, not in equilibrium  Why Law of Inertia? ◦ Tendency of a body to resist change of motion  More matter = more inertia  Ex. If chased by an elephant, how should you run away? Zigzag!! V I M V Cardboard I M Wood V I M Lead • Same volumes  take up the same amount of space • Which is harder to move? - More inertia - More mass (mass is a measure of inertia)  Does mass = weight? ◦ Mass – quantity of matter in a body ◦ Weight – measure of gravitational force which acts on a body  W = mg  Depends on where the object is  Ex. Earth, Moon, Space g = 9.8 m/s2 g = 1.6 m/s2 g=?  Gravity on the Moon ◦ http://www.youtube.com/watch?v=PE81zGhnb0w  Gravity around the Solar System ◦ http://www.aerospaceweb.org/question/astronomy /q0227.shtml  How much would a 75 kg (165 lb) person weigh on the Moon? On Mars? ◦ ◦ ◦ ◦   gmoon= 1.62 m/s2 gmars= 3.77 m/s2 2.2 pound = 1 kilograms 1 pound = 4.45 Newtons Moon: 121.5 N or 27.3 lbs Mars: 282.8 N or 63.5 lbs  On bus (rest  rest) ◦ Standing and bus moves forward ◦ You seem to fall backward ◦ Actually feet move forward with bus and body remains at rest ◦ Bus stops?  Dishes on Table (rest  rest) ◦ Snap a cloth from beneath ◦ Friction between dishes and cloth not enough to move dishes  In stopping car (motion  motion) ◦ Fly forward ◦ Keep moving while car stops   Deals with acceleration Acceleration = a = v / t ◦ Ex. Car died  tow 5N 50 N Which provides the greater acceleration? Which can get car from 0 mi/hr to 20 mi/hr faster? GREATER FORCE With same force, which can go from 0 mi/hr to 50 mi/hr faster? Mass = 1000 kg SMALLER MASS SMALLER INERTIA Mass = 5000 kg   Force = mass x acceleration (F = ma) The more force on an object, the more it accelerates. The more massive an object, the more it resists acceleration.   “The acceleration of a body is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the body” * “in the same direction as the net force” ◦ a in the same direction of body’s motion  speed up ◦ a in opposite direction of body’s motion  slow down ◦ a at right angles to direction of body’s motion  deflect circular ◦ Any other  change in speed and direction mks cgs English Length m cm ft Mass kg g slugs Time s s s Velocity m/s cm/s ft/s Acceleration m/s2 cm/s2 ft/s2 Dyne (g x cm/s2) Pounds (lbs) (slugs x ft/s2) Force Newtons (N) (kg x m/s2) mass x gravity W = N or lbs g = -9.8 m/s2 or -32 ft/s2 N or lbs Use ______________ as force units push or a __________ pull A force is a __________ Now also say: Force is anything that can ____________ accelerate a body. Weight =   Galileo gave no reason why bodies fall with an acceleration. Newton did. ◦ Newton – a F pulls on a body and pulls it toward the Earth. ◦ F = ma  Heavier body attracted with more F.  Heavier body has more m and…  More I  More resistance to change  Ex. If 2 x F and 2 x m  same net acceleration  Force: ◦ Causes acceleration ◦ A push or a pull ◦ Always involves two objects  interaction  Ex. Hammer and Nail ◦ Hammer exerts force on nail ◦ In process, nail slows down hammer ◦ Therefore, nail exerts force on hammer  Ex. Ice skater with rifle or with mitt  To every action there is an equal and opposite reaction ◦ One force is action force, other is reaction ◦ Neither can exist without the other Action Reaction Weightlifter lifts on barbell Barbell pulls on weightlifter Feet down on Earth Earth pushes up on feet You sit on chair Chair pushes up on you Tires sit on road Road pushes up on tires You push on wall Wall pushes back on you Helical blades push down on particles Particles push up on blades Rifle pushes bullet Bullet pushes back on rifle (KICK) SAME FORCE: F/mb = a F/mr = a  Sometimes not so obvious. ◦ Reactions in free-fall  Earth pulls on body = action  Body pulls on Earth = reaction  Therefore, can say boulder falls to Earth or Earth falls to boulder ◦ F is equal but acceleration is very small  When step off curb – street comes up to meet you  Bug against windshield – deceleration of car small, deceleration of bug large  When objects are relatively the same mass, both forces are more easily noticed since both accelerations are about equal.