ESSENTIAL QUESTION 1 How do I know something is moving? IS THIS PERSON MOVING? HOW DO I KNOW SOMETHING IS MOVING? Reference Point: An object that looks still to an observer. Reference Frame: the surroundings, environment or background of the observer. A reference point must be inside the observers reference frame to tell if something is moving in that reference frame. EXPLAIN WHY THE SUN MIGHT BE A GOOD REFERENCE POINT FOR A SHORT PERIOD OF TIME BUT A POOR ONE FOR A REALLY LONG TIME OBSERVATION The Earth is rotating, therefore the sun will be different positions during the day. REFERENCE POINT What would be a good reference points in this picture? ESSENTIAL QUESTION 2 How do I calculate the speed of an object? Speed Equation 𝑑 𝑠= 𝑡 Symbol s d t Name Speed Distance Time Unit m/s m s ESSENTIAL QUESTION 3 : WHAT IS THE DIFFERENCE BETWEEN SPEED AND VELOCITY? Velocity: Speed with a direction. Velocity can be negative, but speed cannot. Velocity is calculated using the speed equation. When finding velocity, make sure to put a direction on your unit. Example Directions: North, West, Up, Left, (-) To describe the motion of an object on a moving object, we use resultant velocity. Resultant Velocity: The sum of the velocities acting on an object. RESULTANT VELOCITY DIAGRAM What would an observer on the shore see in each case? Velocity Speed Rate of distance over time Distance /time Displacement of distance over time Does not have has Direction Direction Positive value only Positive or Negative value EXAMPLE SPEED AND VELOCITY WORD PROBLEMS Example: How far can a dog run if it runs at a rate of 15 m/s for 5 seconds? Givens: Equation: Substitute: Answer: S= 15m/s D= S x T 15 x 5 75 meters T = 5sec D=??? EXAMPLE SPEED AND VELOCITY WORD PROBLEMS Example: What is the velocity of a car that goes 300 m south in just 10 s? Givens: Equation Substitution Answer: Velocity=??? Velocity= distance/ time 300 / 10 30 South D= 300 m T= 10 sec PAGE 60 - EXAMPLE SPEED AND VELOCITY WORD PROBLEMS Example: How long does it take a kid to run 420 meters if they are running at a speed of 6 m/s? Givens: Equation Substitution Answer: Time =?? D= 420 m S= 6 m/s Time= D/ S 420/6 70 seconds ESSENTIAL QUESTION 4 What happens when velocity changes? Acceleration: The rate at which velocity changes. Centripetal Acceleration: Acceleration when an object is going in a circle. CENTRIPETAL ACCELERATION DIAGRAM WHAT HAPPENS WHEN VELOCITY CHANGES? When objects fall, they accelerate. Free Fall: Motion from only the force of gravity. Earth’s gravitational acceleration is 9.8 m/s2. ALL objects speed up at this rate. FREE FALL DIAGRAM Acceleration Equation ∆𝑣 𝑎= 𝑡 Symbol a ∆v t Name Acceleration Change in Velocity Time Unit m/s2 m/s s *If the object slows down, the ∆v is negative. EXAMPLE ACCELERATION PROBLEMS A skater decreases there velocity 12 m/s to 9m/s in 3.0 seconds. What is the skater’s acceleration? Givens: Equation Substitution Answer: ESSENTIAL QUESTION 6 How can graphs show motion? HOW CAN GRAPHS SHOW MOTION? •The effect of TIME on POSITION (Distance) •Position (Distance) vs. Time Graph •Shows where an object is at any point in time. POSITION VS. TIME GRAPHS Position vs. Time 6 Shapes of graphs. Notes: Position (m) 5 4 3 2 1 0 0 2 Time (s) 4 6 HOW CAN GRAPHS SHOW MOTION? •The affect of TIME on SPEED (Velocity) •Speed (Velocity) vs. Time •Shows how fast an object is moving at any point in time. SPEED VS. TIME GRAPHS Speed vs. Time Shapes of Graphs 6 Notes: Speed (m/s) 5 4 3 2 1 0 0 1 2 3 Time (s) 4 5 6 What to find in the TEXT. What is a force? How do forces change the motion of an object? What is inertia? What is the difference between balanced and unbalanced forces? What is Net Force? BACKGROUND Sir Isaac Newton (1643-1727) an English scientist and mathematician famous for his discovery of the law of gravity also discovered the three laws of motion. He published them in his book Philosophiae Naturalis Principia Mathematica (mathematic principles of natural philosophy) in 1687. Today these laws are known as Newton’s Laws of Motion and describe the motion of all objects on the scale we experience in our everyday lives. “If I have ever made any valuable discoveries, it has been owing more to patient attention, than to any other talent.” -Sir Isaac Newton NEWTON’S LAWS OF MOTION 1. An object in motion tends to stay in motion and an object at rest tends to stay at rest unless acted upon by an unbalanced force. 2. Force equals mass times acceleration (F = ma). 3. For every action there is an equal and opposite reaction. NEWTON’S FIRST LAW An object at rest tends to stay at rest and an object in motion tends to stay in motion unless acted upon by an unbalanced force. WHAT DOES THIS MEAN? Basically, an object will “keep doing what it was doing” unless acted on by an unbalanced force. If the object was sitting still, it will remain stationary. If it was moving at a constant velocity, it will keep moving. It takes force to change the motion of an object. WHAT IS MEANT BY UNBALANCED FORCE? If the forces on an object are equal and opposite, they are said to be balanced, and the object experiences no change in motion. If they are not equal and opposite, then the forces are unbalanced and the motion of the object changes. SOME EXAMPLES FROM REAL LIFE A soccer ball is sitting at rest. It takes an unbalanced force of a kick to change its motion. Two teams are playing tug of war. They are both exerting equal force on the rope in opposite directions. This balanced force results in no change of motion. NEWTON’S FIRST LAW IS ALSO CALLED THE LAW OF INERTIA Inertia: the tendency of an object to resist changes in its state of motion The First Law states that all objects have inertia. The more mass an object has, the more inertia it has (and the harder it is to change its motion). MORE EXAMPLES FROM REAL LIFE A powerful locomotive begins to pull a long line of boxcars that were sitting at rest. Since the boxcars are so massive, they have a great deal of inertia and it takes a large force to change their motion. Once they are moving, it takes a large force to stop them. On your way to school, a bug flies into your windshield. Since the bug is so small, it has very little inertia and exerts a very small force on your car (so small that you don’t even feel it). IF OBJECTS IN MOTION TEND TO STAY IN MOTION, WHY DON’T MOVING OBJECTS KEEP MOVING FOREVER? Things don’t keep moving forever because there’s almost always an unbalanced force acting upon it. A book sliding across a table slows down and stops because of the force of friction. If you throw a ball upwards it will eventually slow down and fall because of the force of gravity. In outer space, away from gravity and any sources of friction, a rocket ship launched with a certain speed and direction would keep going in that same direction and at that same speed forever. NEWTON’S SECOND LAW Force equals mass times acceleration. F = ma Acceleration: a measurement of how quickly an object is changing speed. WHAT DOES F = MA MEAN? Force is directly proportional to mass and acceleration. Imagine a ball of a certain mass moving at a certain acceleration. This ball has a certain force. Now imagine we make the ball twice as big (double the mass) but keep the acceleration constant. F = ma says that this new ball has twice the force of the old ball. Now imagine the original ball moving at twice the original acceleration. F = ma says that the ball will again have twice the force of the ball at the original acceleration. MORE ABOUT F = MA If you double the mass, you double the force. If you double the acceleration, you double the force. What if you double the mass and the acceleration? (2m)(2a) = 4F Doubling the mass and the acceleration quadruples the force. So . . . what if you decrease the mass by half? How much force would the object have now? WHAT DOES F = MA SAY? F = ma basically means that the force of an object comes from its mass and its acceleration. Something very massive (high mass) that’s changing speed very slowly (low acceleration), like a glacier, can still have great force. Something very small (low mass) that’s changing speed very quickly (high acceleration), like a bullet, can still have a great force. Something very small changing speed very slowly will have a very weak force. NEWTON’S THIRD LAW For every action there is an equal and opposite reaction. WHAT DOES THIS MEAN? For every force acting on an object, there is an equal force acting in the opposite direction. Right now, gravity is pulling you down in your seat, but Newton’s Third Law says your seat is pushing up against you with equal force. This is why you are not moving. There is a balanced force acting on you– gravity pulling down, your seat pushing up. THINK ABOUT IT . . . What happens if you are standing on a skateboard or a slippery floor and push against a wall? You slide in the opposite direction (away from the wall), because you pushed on the wall but the wall pushed back on you with equal and opposite force. Why does it hurt so much when you stub your toe? When your toe exerts a force on a rock, the rock exerts an equal force back on your toe. The harder you hit your toe against it, the more force the rock exerts back on your toe (and the more your toe hurts). REVIEW Newton’s First Law: Objects in motion tend to stay in motion and objects at rest tend to stay at rest unless acted upon by an unbalanced force. Newton’s Second Law: Force equals mass times acceleration (F = ma). Newton’s Third Law: For every action there is an equal and opposite reaction. VOCABULARY Inertia: the tendency of an object to resist changes in its state of motion Acceleration: •a change in velocity •a measurement of how quickly an object is changing speed, direction or both Velocity: The rate of change of a position along a straight line with respect to time Force: strength or energy Friction What creates friction? Roughness between two surfaces creates friction. 1. Roughness of the surface 2. Force between the two surfaces Friction Static friction The object is NOT moving Kinetic Friction The object is moving Kinetic friction Sliding friction Two dry surfaces Rolling Friction One surface rolls over another surface One of the surfaces is either gas or liquid