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B. Berenger 12/99 Summary of Discussion: • Newton’s First Law – inertia • Mass vs. Weight • Newton’s Second Law – F=ma – a=f/a • Newton’s Third Law B. Berenger 12/99 2 Inertia INERTIA • The tendency of objects to remain in motion or stay at rest • If it were not for friction, an object set in motion would continue to move forever B. Berenger 12/99 3 Newton’s First Law FIRST LAW OF MOTION • An object at rest remains at rest, or if in a state of motion, continues at constant velocity (same direction & speed) unless acted upon by an outside force B. Berenger 12/99 4 Inertia Riding In A Car . . . • When you are riding in a car and it stops suddenly, you keep moving forward • if you did not have a safety belt to stop you, your inertia could send you through the windshield B. Berenger 12/99 5 Inertia Standing On A Bus . . . • When the bus starts to move forward you are thrown off balance and fall backward • Your body has inertia – it is at rest and tends to stay at rest, even though the bus is moving B. Berenger 12/99 6 Inertia . . . On The Same Bus • When the moving bus stops, you fall forward • Even though the bus stops, you do not – You are an object in motion B. Berenger 12/99 7 Mass vs. Weight MASS VS. WEIGHT • Weight – a measure of the force of gravity on an object – weight = mass x acceleration due to gravity w= m x g – measured in Newtons • Mass – a constant value; does not change – amount of matter – measured in Kilograms B. Berenger 12/99 8 Weight CALCULATING WEIGHT • measured in Newtons • weight = mass x acceleration due to gravity w= m x g – acceleration due to gravity on Earth = 9.8 N/kg • Example: m = 100 kg g = 9.8 N/kg • Weight =100 kg x 9.8 N/kg = 980 N B. Berenger 12/99 9 Weight WEIGHT • Varies according to the force of gravity pulling on you • a smaller mass means a smaller gravitational pull Where would you weigh more? Why? Earth B. Berenger 12/99 Moon 10 Mass MASS • Remains constant • You have the same amount of mass regardless of your location Would your mass change? Why or why not? Earth B. Berenger 12/99 Moon 11 Newton’s Second Law NEWTON’S SECOND LAW • A force acting on an object will produce an acceleration of the object proportional to the force and in the direction of the applied force – if you double the force that you throw a ball, you will double its acceleration B. Berenger 12/99 12 Newton’s Second Law Mathematically Speaking... • Force = mass x acceleration F = ma B. Berenger 12/99 13 Newton’s Second Law F = ma • If the same force is applied to a bowling ball and a tennis ball, which ball will have the greater acceleration? WHY? B. Berenger 12/99 14 Newton’s Second Law Force Measured in Newtons • 1 N = 1 kg x 1 m/sec/sec = kg m s2 • One newton equals the force required to accelerate one kilogram of mass at one meter/second/second B. Berenger 12/99 15 Newton’s Second Law Better Gas Mileage? Remember: F = ma Small Car • mass = 750 kg • acceleration = 2 m/sec/sec • Force required to accelerate car = 750 kg x 2 m/sec/sec = 1500 N • • • • Large Car mass = 1000kg acceleration = 2 m/sec/sec Force required to accelerate car = 1000 kg x 2 m/sec/sec = 2000 N B. Berenger 12/99 16 Newton’s Second Law Not Just: F = ma • Formula can also be written as: a = F/m • Acceleration is directly proportional to the force • Acceleration is indirectly proportional to the mass B. Berenger 12/99 17 Acceleration REMEMBER: • Acceleration does not only mean to go faster! • Acceleration can mean: – – – – – direction of motion changed motion started motion stopped speed increased speed decreased B. Berenger 12/99 18 Acceleration a = F/m • If a person keeps adding snow to the snowball (increasing its mass), yet each time throws it with the same force, the snowball will accelerate less each time decreases B. Berenger 12/99 remains constant F a = m increases 19 Acceleration a = F/m • If the snowball begins to melt (mass decreases), the same force applied to the snowball will cause it to accelerate more increases B. Berenger 12/99 remains constant F a = m decreases 20 Newton’s Third Law NEWTON’S THIRD LAW • For every action, there is an equal and opposite reaction • Every force must have an equal and opposite force – all forces come in pairs B. Berenger 12/99 21 Newton’s Third Law EQUAL AND OPPOSITE FORCES • The ground pushes up against your feet with an equal and opposite force B. Berenger 12/99 Equal and opposite forces • You move forward and the earth moves in the opposite direction! – Since the mass of the earth is so large, its motion is unobservable • As you walk, your feet push against the ground 22 Newton’s Third Law Equal and opposite forces Space Shuttle B. Berenger 12/99 • Various fuels are burned in the engine, producing hot gases • As the gases move downward, the rocket moves in the opposite direction, or upward 23 TOPICS COVERED: • Newton’s First Law – inertia • Mass vs. Weight • Newton’s Second Law – F=ma – a=f/a • Newton’s Third Law B. Berenger 12/99 24 Bibliography • K. Batista notes • Physical Science (1988). HBJ, pp.313316; pp.322-323 B. Berenger 12/99 25