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Today’s Topics • Newton’s Three Laws • Mass and Weight • Free Body Diagrams Newton’s 2nd Law A _______ is that which causes (unrestrained) objects to __________ Links forces to motion We frequently can have knowledge of forces acting on an object Can use the 2nd Law to translate the force into acceleration Can then find velocity and position Newton’s 1st Law NET Force: ________________ If no NET _______ is applied to an object… the object either remains at _______, OR moves at a _________________ “At rest” is a special case of constant v, with v = 0! Since _______ remains constant unless a net force is applied, objects appear to be “_______” Latin word for laziness: ___________ 1st Law sometimes referred to as: The graph to the left shows velocity of an object as a function of time. Which of the graphs best shows the net force versus time for this object? vx ΣFx ΣFx ΣFx ΣFx ΣFx t 0 Rolling cart – constant velocity? t 0 A. EF 151 Spring, 2015 Lec 2-3 Force: Scalar or vector? Mass: Scalar or vector? Fnet=ma 1 t 0 t 0 B. t 0 C. t 0 D. E. EF 151 Spring, 2015 Lec 2-3 2 SI Units of Acceleration, Mass & Force Newton’s 3rd Law If one object exerts a force on a second object, the ________ object exerts a force on the _______ object Quantity Basis g (at earth’s surface) This “_________” force has a magnitude equal to the first force Mass This “_________” force acts in the _________direction as the first force SI System USC System Mass-based Force-based 9.81 m/s2 32.2 ft/s2 kg slug Force N pound F=ma 1N = 1kg(1m/s2) 1lb = 1slug(1ft/s2) SI System: kg linked to meter through H2O Density of water is 1000 kg/m3 = 1 kg/L = 1 g/cm3 How are you able to stand on the floor? How are you able to jump up off the floor? USC System: two other force units 1 ton = 2000 lb 1 kip (kilopound) = 1000 lb EF 151 Spring, 2015 Lec 2-3 3 EF 151 Spring, 2015 Lec 2-3 4 Conversion Factors Types of Forces Force Field Forces (act at a distance) 1 Newton = 0.2247 lb 1 lb = 4.448 Newtons An apple weighs about: What is your weight in Newtons? _____________________ _____________________ Contact Forces Ropes, cables, string Mass assumed to be flexible and of negligible mass; 1 kg = 0.06846 slugs 1 slug = 14.594 kilograms What is your mass in kg? _______ slugs? _______ tension the same everywhere force in the direction of the rope Normal force: ___________ Weight: force of gravity W = ______ Lazydog weighs 43 lb on the earth and gmoon is 5.31 ft/s2 Friction force: ______________ Springs: ____________ what is the dog’s mass on the moon? _______ what is the dog’s weight on the moon? _______ EF 151 Spring, 2015 Lec 2-3 Fnet=ma 5 FBD = KD ____________________ Diagram of ______ free from surroundings and showing all ________ that act on the body Identify ___________ Draw ___________ Define a ______________ Draw all ________ that act ___ the body Do not show ________________ = EF 151 Spring, 2015 Lec 2-3 6 The Original Alabama Bass Tracker _____________________ Diagram of ______ free from surroundings and showing ___________________ (inertial) vectors Alabama fan weighs 195 lbs. His “boat” and motor weigh 218 lbs and the motor provides a force of 143 lbs. The drag resistance of the water is 62 lbs. What is the acceleration of the boat and the forces on the fisherman? Draw same body Show all __________ components = What is the correct FBD of the fisherman? A. Runner starting a race: Ball during launch: EF 151 Spring, 2015 Lec 2-3 B. 195 lb 195 lb+218 lb F 7 EF 151 Spring, 2015 Lec 2-3 N C. 195 lb F N D. 195 lb F N 8