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Chapter 13 Forces and Motion List of chapter 13 vocabulary words: (nine words total) • • • • • • • • • Speed Velocity Acceleration Force Gravity Friction First law of motion Second law of motion Third law of motion Target Goals: • “I can…..” ____define speed, velocity, and acceleration. ___calculate the average speed. What is motion? • You can look around you and see that there are things in motion: • Ex: (Your teacher walking across the room; your friend writing with a pencil). • Even if you don’t see anything moving, motion is still occurring all around you. • (Ex: air particles moving, the Earth circling the sun, blood traveling in your body) Motion • An object is considered to be in motion if it constantly changes position. What is motion?..... • When you want to know the motion of an object, you simply watch the object. • But you are actually watching the object in relation to another object that appears to be “staying in place”. The object staying in place is called the reference point. Something to think about…. • Suppose you look out of the window and see a truck parked next to a tree. A few hours later, you look out the window and that the truck is parked further down the street about 200 yards away from the tree. What is your reference point in this scenario? Speed Depends on Distance and Time • When you are moving, your position is changing. How quickly your position changes depends on the speed. • Speed is the rate at which an object moves • Speed depends on 2 things: a) distance traveled b) the time taken to travel that distance Determining Speed… • The SI unit for speed is m/s, or meters per second. Other ways to calculate speed include: kilometers per hour (km/h) Feet per second (ft/s) Miles per hour (mph) Brain pop review…. • "Calculating Speed, Distance, Time” • After the brain pop, Grab a Whiteboard, Dry erase marker, and cleaning rag!! Speed Depends on Distance and Time, continued • Determining Average Speed- Average speed equals the total distance divided by the total time. AVERAGE SPEED = TOTAL DISTANCE TOTAL TIME Hint: “Bottom---out” “Top--------in” Riddle me this….. • Imagine that two birds leave the same tree at the same time. They both fly at 10km/h for 5 min, 12 km/h for 8 min, and 5km/h for 10 min. Why didn’t they end up in the same place? Direction matters…. • The birds went in different directions!!! • Their speeds were the same, but they had different velocities. Velocity: Direction Matters • The speed of an object in a “particular direction” is called velocity. • BE CAREFUL! Do not confuse speed & velocity; they do not mean the same thing! • What is the difference between speed and velocity? Velocity is the speed plus the “direction” in which the object is moving. Example of Speed vs. Velocity • Speed: A car traveling 60 mph • Velocity: A car traveling 60 mph east • Don’t get speed and velocity confused: (Direction is added to the object’s velocity.) EX: When you use a compass to determine the direction in which you are walking 5 mph. Target Goals….. • “I can……..” • ______Define acceleration. • _____ Define Force. • _____ Describe how forces changes an object’s motion (Newton’s laws). Acceleration: (---has a slightly different meaning in science) • The “rate” at which “velocity changes” over time is called acceleration. • ** An object accelerates if its speed, direction, or both change. Did acceleration occur? If so, … “Why?” • Scenario 1:You are riding your bike at 9km/h. Ten minutes later, your speed is 6km/h. • (Yes!! Acceleration occurred because speed decreased) • Scenario 2:You ride your bike around the block at a constant speed of 11km/h. • (Yes!! Acceleration occurred because direction changed) • Scenario 3:You ride your bike in a straight line at a constant speed of 10km/h. • No!! Acceleration did not occur because neither speed nor direction changed.) Are you accelerating if… • • • • 1. 2. 3. 4. You pick up the pace walking? Yes! A car turns on a race track? Yes! You slow down to a steady walk? Yes! An object is moving in a circle? Yes! • What about you standing still? NO!! Acceleration according to Tim and Moby • BrainpopAcceleration After the brain pop complete the review quiz!! Practice problem: • Calculate the acceleration in the following problems: • Remember: Acceleration = Final speed – starting speed time 1) Barney sat waiting anxiously at the red light. Realizing he was late for the bike competition Barney raced across campus at a speed of 80 m/s only to be pulled over by the bike patrol 20 seconds later. Calculate his acceleration. Try one more…… • Bert traveled on his bicycle at a speed of 45 m/s. Ten seconds later Bert slowed down to 15m/s to avoid hitting the turtle that was crossing his path. • Calculate Bert’s acceleration. Check your answer… 1) Zach kicked a stationary soccer ball as hard as he human possibly could. The soccer ball went as many meters as it could in just 12 seconds. The ball had a speed of 60m/s. Calculate his acceleration. 60m/s-----0m/s 12 seconds = 5m/s/s Answer: • Zac hopped in a golf cart at the local country club and tried to take off with it. He was speeding at 88 m/s when he noticed an old lady with a walker on the sidewalk ahead. In just 6 seconds, he quickly make a hairpin turn at a speed 46m/s. Calculate his acceleration. 46m/s---88m/s_____ 6 seconds = -7m/s/s Something to think about…. • “Where do you see a force happening in the room right now? Which object is exerting the force, and which is receiving it?” The answer….. • Copy and answer the statement below: • “Where do you see a force happening in the room right now? Which object is exerting the force, and which is receiving it?” • ANSWER: GRAVITY AND FRICTION!!! What is force? • In science, a force is a push or a pull and always acts in a certain direction • Ex. if you push something, the force is in the direction of the push • A force is anything that makes an object accelerate. A force can change the acceleration of an object. This acceleration can be a change in the speed or direction of the object. Mass vs. Weight • Mass is the amount of matter in an object, so will it ever change? • Mass is measured with a balancer. • Weight, however, is the measure of the amount of gravitational force exerted on an object. • Weight is measured with a spring scale Weight….. Weight is also a force. The SI unit for weight is measured in Newtons. Weight Is not the same as mass! Mass is measured in kilograms. Even if the mass of an object doesn’t change its weight will change if its distance from Earth changes. Something to think about… • Does this astronaut have the same mass on Earth as he does on the moon? • Does he have the same weight? Forces cont’d • It is not always easy to tell what is exerting a force or what is receiving a force. For example, you cannot see what exerts the force that pulls magnets to refrigerators. Assignment…. • BrainPOP: "Force" • After the brain pop, complete the review quiz and the “A Weighty Problem” handout. Paste this onto ISN page 211. Target Goals…. • I can describe how forces change an object’s motion (Newton’s Three Laws of Motion) Newton’s Laws of Motion I. Law of Inertia II. F=ma III. Action-Reaction • 1st Law – An object at rest will stay at rest, and an object in motion will stay in motion at constant velocity, unless acted upon by a force. 1st Law • Once airborne, unless acted on by a force ( such as gravity and air resistance ), it would never stop! 1st Law • Unless acted upon by a force, this golf ball would sit on the tee forever. 1st Law (law of inertia) • Inertia is the tendency of an object to resist changes in its velocity: whether in motion or motionless. • Basically, an object will “keep doing what it was doing” unless acted on by a force. These pumpkins will not move unless acted on by a force. So remember: Newton’s 1st law Fir Is also called the law of inertia. Inertia is the tendency of an object to resist change in motion. • (ex#1: Because of inertia you slide towards the side of a car when the driver turns a corner. • (ex#2: Inertia is also what causes a car, bike, or plane to stop immediately). Inertia A property of matter Mass is a measure of inertia. The tendency of an object to resist any change in its motion The smaller the mass the less the amount of inertia The greater the speed the more the inertia is needed. Mass and Inertia are related: • Changing the motion of the smaller object will be easier than changing the motion of a larger object, because the smaller car has less mass. • Inertia makes it harder to accelerate a car than to accelerate a bicycle. It also makes it easier to stop a moving bicycle than a car moving at the same speed. 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). Newtons’s 1st Law and You Don’t let this be you. Wear seat belts. Because of inertia, objects (including you) resist changes in their motion. When the car going 80 km/hour is stopped by the brick wall, your body keeps moving at 80 km/hour. 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 a 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. nd 2 Law nd 2 Law The acceleration of an object depends on the net force acting on the object and the object’s mass Formula: (F= ma) In simpler terms: Second law: The greater the force applied to an object, the more the object will accelerate depending on the mass. It takes more force to accelerate an object with a lot of mass than The player in black had more to accelerate acceleration thus he hit with something with very a greater amount of force little mass. Second law: The force of an object is equal to the product of its mass and acceleration, or Force is calculated by: (force = mass x acceleration) What does F = ma mean? - Is it harder to throw a basketball or a baseball? - Why?? A basketball, of course! It has more mass. If you throw both balls with the same force, the speed of the baseball will be greater. To get the basketball to have the same acceleration as the baseball, you must double the force you apply. So….if the force applied is the same, as mass increases, the acceleration of an object decreases nd 2 Law • When “mass is in kilograms” and “acceleration is in m/s/s”, the unit of force is measured in Newtons (N). Newton’s 2nd Law proves that different masses accelerate to the earth at the same rate, but with different forces. • We know that objects with different masses accelerate to the ground at the same rate. • However, because of the 2nd Law we know that they don’t hit the ground with the same force. F = ma F = ma 98 N = 10 kg x 9.8 m/s/s 9.8 N = 1 kg x 9.8 m/s/s Remember: • F= M x A • Force = Mass x Acceleration • (newtons)= (kg) x (m/s/s) If mass remains constant, doubling the acceleration, doubles the force. If force remains constant, doubling the mass, halves the acceleration. nd 2 Law (F = m x a) • How much force is needed to accelerate a 1400 kilogram car 2 meters per second/per second? • Write the formula • F=mxa • Fill in given numbers and units • F = 1400 kg x 2 meters per second/second • Solve for the unknown • 2800 kg-meters/second/second or 2800 N Examples of Newton’s 2nd Law……(Explain how).. a) hitting a baseball? the harder you hit the ball the farther it goes…. b) Gas pedal in a car? Brake pedal in a car?? accelerating or decelerating a car c) The positioning of football players? massive players on the line with lighter ( faster to accelerate) players in the backfield d) a loaded versus an unloaded truck? more force is needed to get the loaded truck to start and stop moving. third law: For every action force, there is an equal and opposite reaction force. (Forces are always paired) 3rd Law According to Newton, whenever objects A and B interact with each other, they exert forces upon each other. When you sit in your chair, your body exerts a downward force on the chair and the chair exerts an upward force on your body. 3rd Law Example: There are two forces resulting from this interaction – “a force on the chair and a force on your body”. These two forces are called action and reaction forces. Newton’s 3rd Law in Nature • Consider the propulsion of a fish through the water. A fish uses its fins to push water backwards. In turn, the water reacts by pushing the fish forwards, propelling the fish through the water. • The size of the force on the water equals the size of the force on the fish; the direction of the force on the water (backwards) is opposite the direction of the force on the fish (forwards). 3rd Law Flying gracefully through the air, birds depend on Newton’s third law of motion. How? As the birds push down on the air with their wings, the air pushes their wings up and gives them lift. Third law continued.. • Consider the flying motion of birds. A bird flies by use of its wings. The wings of a bird push air downwards. In turn, the air reacts by pushing the bird upwards. • The size of the force on the air equals the size of the force on the bird; the direction of the force on the air (downwards) is opposite the direction of the force on the bird (upwards). • Action-reaction force pairs make it possible for birds to fly. Other examples of Newton’s Third Law How is this ball and bat demonstrating Newton’s 3rd law? The baseball forces the bat to the left (an action); the bat forces the ball to the right (the reaction). 3rd Law • How is your car’s motion on the way to school like Newton’s 3rd law? • A car is equipped with wheels which spin forward. As the wheels spin forward, they grip the road and push the road backwards. 3rd Law The reaction of a rocket is an application of the third law of motion. Various fuels are burned in the engine, producing hot gases. The hot gases push against the inside tube of the rocket and escape out the bottom of the tube. As the gases move downward, the rocket moves in the opposite direction. 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). Brain pop: Newton’s laws (Tim and Moby Style) • Brainpop movie: Newton's Laws • After the brainpop: complete the worksheets: “Which Law” and “Brainpop review worksheet”.