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Chapter 3 Forces Section 1 Newton’s Second Law Force, Mass and Acceleration Compare hard thrown ball vs. gently tossed ball Force? Velocity? Acceleration? Throw hard a baseball vs. softball Who goes faster? Why? Velocity and Acceleration depend on mass Newton’s 2nd Law of Motion Def: acceleration is in the same direction as net force Net Force Net Force = mass x acceleration Fnet = ma kg x m/s2 = N (Newton) Practice! Rocket has 28,913 N of thrust and a mass of 2,350 kg. What is the acceleration? (frictionless surface) What is the mass of a rocket that has a thrust of 105 N and an acceleration of 70 m/s2? Friction Roll a ball in the parking lot… Newton’s 1st law says ball will keep constant speed Stops because of friction (negative acceleration – force is friction) Def: force that opposes the sliding motion Microwelds Def: points where two surfaces come in to contact Larger force = stronger microwelds Break microwelds = need force Static Friction Push box = doesn’t move Acceleration = 0 so net force = 0 What’s canceling your force? Static Friction: force prevents two surfaces from sliding past each other Sliding Friction Def: force that opposes the sliding motion of two surfaces Stop pushing = box stops Rolling Friction Car stuck in mud… Def: frictional force between rolling object and surface. Air Resistance Falling object pulled by gravity – opposed by air resistance Def: friction like force opposed motion as moves through air No air = objects fall with same acceleration bowling ball vs. feather Terminal Velocity Def: highest speed a falling object will reach When air resistance balances downward force Depends on size, shape, mass Sky diver no parachute vs. with parachute Section 2 Gravity What is gravity? How would you throw a long pass with a football? Anything that has mass is attracted by gravity Gravity: attractive force between two objects that depends on masses and distance Stronger force? More mass/closer together Gravity We only feel earth’s gravitational force 1 of 4 Basic Forces Others: electromagnetic force – electricity and magnetism strong and weak nuclear force – inside nuclei of atoms Law of Universal Gravitation Sir Isaac Newton Earth’s Gravitational Acceleration When only force acting on two things is gravity – they fall at the same rate Close to earth’s surface acceleration due to gravity is 9.8 m/s2 Newton’s second law F = ma Fgravity(N) = mass (kg) x acceleration of gravity (m/s2) F = mg Weight Def: gravitational force on a object Calculate your weight in N Weightlessness and Free Fall When you free fall gravity pulls everything at same rate = no gravity Spaceship in orbit experiences 90% of earth’s gravity Ship is in free fall in orbit = no gravity Projectile Motion Projectile: anything thrown or shot through air Gravity causes path to be curved Horizontal motion – throwing Vertical motion – gravity Horizontal and Vertical Distance Same vertical distance = same mass = same acceleration = same time Different horizontal distance Centripetal Force Centripetal acceleration: acceleration towards the center of a curved path. Newton’s 2nd law – acceleration in direction of force centripetal force Anything moving in circle is because cent. force is accelerating towards center Gravity Section 3 Newton’s 3rd Law of Motion Newton’s 3rd Law Def: when one object exerts a force on another, the 2nd object exerts an equal but opposite force Action – Reaction Jumping on trampoline Action/Reaction Do NOT Cancel Forces are equal, but acting on different objects Act on water – reaction pushes forward = unbalanced force Rocket Propulsion Rocket exerts force on gas backwards – gas exerts force on rocket forwards Momentum How much force is needed to change motion? Def: product of mass and velocity Practice! What is the momentum of a 1,300 kg car traveling 28 m/s? What is the velocity of a 0.15 kg baseball that has a momentum of 6 kg m/s? Force and Changing Momentum Catch a foul ball bare handed? Force and Changing Momentum a = (vf – vi) t Put the two together: When that baseball hits – calculate the force F = ma Force and Changing Momentum What is the force of a 0.15 kg baseball with a velocity of 40 m/s when it comes to a stop in 1 second? Law of Conservation of Momentum Momentum doesn’t change unless mass, velocity or both change Can be transferred – pool balls Def: group of objects exerts forces only on each other, their total momentum doesn’t change When Objects Collide 1st puck will give more momentum to the 2nd puck in the same direction Moving towards each other same speed = 0 momentum Collide = 0 momentum – moving same speed opposite direction