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Mental note for next year. Do Hooke’s law here with forces (or later with energy) If an object is stationary, what will cause it to start to move A FORCE But what is a force?? A force is a push or a pull on something by something Does a push have a direction? FORCES ARE VECTORS, Magnitude and Direction The force on the truck is a push by the man Since the truck increased its speed we say that it has….. Accelerated Forces cause objects to accelerate in the direction the force is applied. What are the 3 ways an object can accelerate? What is the direction of the force? Force The car accelerates to the right (+X) Which way would you apply a force to cause the truck to slow down? Force The car accelerates to the left (-X) while slowing In what direction should a force be applied in order for the truck to make a right turn? Force What if two people push equally hard on both sides of the truck. In what direction will it accelerate? Force Force FORCES ARE BALANCED IF THEY ARE EQUAL AND OPPOSITE. But… EQUAL what? and OPPOSITE what? Equal Magnitude but Opposite Direction What if two people push equally hard on both sides of the truck. In what direction will it accelerate? Force Force FORCES ARE BALANCED IF THEY ARE EQUAL AND OPPOSITE. But… EQUAL what? and OPPOSITE what? Equal Magnitude but Opposite Direction Force Force Forces are vectors if each what would you get if you added to two vectors. Balanced Forces cancel out in both magnitude and direction Consider the “Forces” acting on the balls below balanced balanced NOT balanced balanced NOT If you shove a book across a table your hand accelerates it. After it leaves your hand what will happen to the books speed. WHY does it slow down? Friction Galileo experimented with Spheres on a level surface and found that they slowed very little. Because they have very little friction Galileo concluded if there was absolutely no friction the ball would… JUST KEEP ROLLING AND NEVER STOP (Or even slow down) This is opposite what everyone thought (at the time) An object’s natural state is at rest! This was common sense regarding objects around them. (planets had their own natural states) Sir Isaac Newton studied how objects move too. Developed calculus About the age of 20 in order to describe motion He lays the foundation for modern physics in his book Principia when he was 24. The physics we are learning now is called Newtonian Physics which is modified by Einstein later. Newtonian Physics is an approximation which works GREAT unless you are dealing with EXTREME circumstances. (moving close to the speed of light etc…) In Newtons 1st of 3 laws of motion he restates Galileo NEWTON’s 1st LAW An object will move at a constant velocity unless an unbalanced force acts upon it A force not cancelled out by another one Which ball has balanced a constantforces? velocity? Newton’s first law is often stated as: An object at rest tends to stay at rest and an object in motion tends to stay in motion UNLESS an unbalanced force acts on the object. If an object is stationary or moving in a straight line at a constant speed its velocity is constant. Forces must be balanced. Two ping pong balls are launched into space and experience no wind resistance or any other forces. The first is launched at 25 m/s and the other at 3 m/s. Which will come to a stop FIRST? NEITHER--- THEY WILL BOTH KEEP MOVING FOREVER Soccer ball hover disk demo INERTIA– the property of matter that resists changing velocity. It is the laziness of matter to just keep doing what it was doing. Which way will tighten the hammer head to the shaft. Why isn’t the top of the card flying forward? If you are driving too fast and hit a tree head on, What “force” would send you through the windshield if you weren’t wearing your seat belt? Crash Test - No seat belt Crash Test - With seat belt When people are hit from behind, sometimes they experience whiplash. What is it and what causes it? You put your cell phone down in the seat next to you while driving 60 mph. What happens? What keeps a ball in motion after it is thrown? Is inertia a force? Does air exert a force? Does wind resistance speed up or slow down a projectile? A tennis ball has inertia, and you would have to exert a force on it to slow it down from 25 mph to a stop. An 18 wheeler also has inertia, would you want to slow it down from 25 mph? HOW MUCH INERTIA an object has depends on its Mass. The more mass an object has, the harder it is to change its velocity. More massive objects are lazier to speed up, slow down, or change direction. INERTIA is NOT a force. BOWLING BALL GRAND PRIX Notation for Forces F The object of interest being pushed or pulled Type, Feeler, Dealer The thing doing the pushing or pulling Types of Forces Gravity Fg Always “down” or toward the center of the earth Depends on the mass of an object Fg, diver, earth Fg Types of Forces Normal FN A push resulting from two objects contacting Always perpendicular to the surface and away from it FN FN, elephant, pedestal FN Surface The normal force is always perpendicular to the surface What is the direction of the normal force on the marble? FN,marble,ground Is the elephant accelerating? No, then all forces cancel. What is cancelling out FN? FN Fg If Forces do not cancel, then what’s leftover is called the NET force F1 F2 FNET $20.00 made – $15.00 spent = $5.00 NET (what’s leftover) If Forces do not cancel, then what’s leftover is called the NET force F1 5N F2 -9 N FNET = 4 N down Realize that to find the Net force you have added the two vectors and found the ..... SF= RESULTANT = FNET IF forces DO cancel (balance) then FNET = F1 9N F2 9N SF or FNET = 0 If SF = 0, what is the motion like for the object A Find the net force on each “object” 10 N 10 N 10 N 15 N 10 N 15 N 15 N 5N 10 N 5N 25 N Types of Forces Tension FT Always a pull in the direction of the cable FT, block, string FT What is the direction of the tension force on her hands? Types of Forces Friction FF Contact Force opposite direction of motion (or impending motion) FF, player, dirt FF A crate sits motionless on a hill, Which direction is the FF acting? What happens to the following rolling balls when a force is applied, The direction of the movement of the ball is shown on the ball in blue. Force Force Slow down Speed UP Change Direction Force What happens to the following rolling balls when a force is applied, The direction of the movement of the ball is shown on the ball in blue. Force Force Slow down Speed UP Change Direction Force What will happen to the ball at rest, when balanced forces are applied? Force still Force IT REMAINS STILL What will happen to the moving ball, when balanced forces are applied? Force Force It keeps moving at the same speed in a straight line. A Freebody diagram replaces the object of interest with a dot (to simplify the scenario) Then forces acting on the object are represented by arrows (vectors) extending out from the dot in the proper direction. It doesn’t matter where the forces act on the boy just the direction of the force. FN,boy,pillow Fg,boy,earth If the object doesn’t accelerate then forces must balance (SF=0) FN,boy,pillow Fg,boy,earth Draw a free body diagram for a motionless wrecking ball. Are the forces balanced? SF=0 FT,ball,cable Fg,ball,earth What would be different if the ball was moving upward at a constant speed? Are the forces balanced? SF=0 FT,ball,cable Fg,ball,earth What would be different if the ball was moving downward at a constant speed? Are the forces balanced? SF=0 FT,ball,cable Fg,ball,earth What would be different if the ball was moving upward faster and faster? Are the forces balanced? SF=0 Fg,ball,earth Force diagram practice sheet in class Wind resistance A force exerted by air which is opposite the direction of motion. (like friction) Does the magnitude of the force change based on how fast an object is moving. (Think about driving with your hand out the window) Terminal Velocity When a sky diver First jumps out of a plane they are falling slowly so the force of air resistance is low (at least upward) Fg, diver, earth Falling slowly Falling Fast FF, diver, air Fg, diver, earth FNET FNET FNET = 0 Is there a net force? When the forces are equal does the diver stop falling? The diver is falling fast and must slow down, what does he do? Opens a parachute (how will forces change) FNET = 0 FNET Does he start going UPWARDS??? Equal weights on pulley demo Bungee jumping when he first jumps off what forces are acting on him (let’s ignore wind resistance on this one) Fg, jumper, earth When the slack is out of the cord it starts to pull but very weakly. Net FORCE? What happens to the jumper? FT, jumper, cord FNET Fg, jumper, earth As the cord stretches it pulls harder Net FORCE? What happens to the jumper? FT, jumper, cord FNET Fg, jumper, earth Eventually it is pulling equally hard as gravity Net FORCE? What happens to the jumper? FT, jumper, cord Fg, jumper, earth The jumper keeps falling and stretching the cord further. Net FORCE? What happens to the jumper? FT, jumper, cord FNET Fg, jumper, earth free body diagrams WS 2 Hovercraft analysis WS In order for the SF =0 then Forces Up = Forces Down Forces Left = Forces Right In what direction would the object below accelerate? SF =0 In what direction would the object below accelerate? SF =0 In what direction would the object below accelerate? SF =0 In what direction would the object below accelerate? Create a free-body diagram for the ball player who is sliding (and slowing) into 2nd base. Are the forces balanced? SF=0 FN, player, dirt FF, player, dirt Fg, player, earth We have left a few forces out of the picture, let’s fill them in now. Which forces cancel? Can friction cancel any of the other two forces? Make free body diagrams for the hover puck that is being slowed by a push coasting pushed off and stationary on and stationary Make a free-body diagram for the person who is not moving Forces that act at an angle can be thought of as made up of an X component and a Y component. F F y Fx For example if the object below is not accelerating with 3 forces acting on it then.... C CY A CX B If the force of gravity on each weight is 50 N. What is the tension in each cable? SF=0 Make a freebody diagram For the stationary ring cable rod Make a freebody diagram for the ring supported by a rod and cable. If the everything is stationary. Make a free body diagram for the basketball, Are the forces balanced? SF=0 F F, ball, air F g, ball, earth Create a free-body diagram for a cannonball, moving at a constant 2,000 m/s through empty space. Draw a freebody diagram for the pendulum below. Create a freebody diagram for the crate which is pulled by a rope at a constant speed along level ground Draw a freebody diagram for a box which is stationary on a ramp. Is there a Net Force? SF = 0, What’s Missing? FF FN Fg q Turn the whole page so that it looks flat Break gravity into its components The object is at equilibrium so…. FUP = FDown FLeft = FRight FN FF Fg Draw a freebody diagram for a box sliding down a frictionless ramp Will it accelerate? SF=0 Which way? What is the direction of the net force? A trick is to rotate the page until the slope is flat FN Fg Use your turned page to define up/down & left right. Now break gravity into its two components. Consider the direction of acceleration, Which forces must cancel? FN What is the Fnet Fgy Fgx Freebody diagram WS #2 Gravity and page tilting Mass = Weight What is matter? I will summarize this at the end so don’t take notes on all this MATTER anything that has mass and volume Is everything matter? What is matter and what is not? Car 1 liter of nothing (a vacuum) thought Earth feeling water air light bulb light ? Volume how much space an object takes up Mass indicates: how much matter is in an object On earth the more mass an object has the more it weighs. The more mass an object has the harder it is to get moving or stop moving.(inertia) Weight: The force of gravity on an object If you go into space, there is no gravity. So you have no weight. Did you lose any matter? You still have the same mass but no weight. Kicking cans: 1 empty 1 filled with sand 1 filled with lead. The more mass an object has the more inertia it has And the harder it is to get going. If you and a huge fully loaded dump truck took a trip to space Could you grab it and shake it up and down easily? Mass is measured in grams or kilograms or slugs Weight is measured in pounds or newtons How do we measure mass on earth? With a scale that basically measures its weight. If you took a triple beam balance into space, even though it says it measures mass it really measure weight. SUMMARY – write this down Mass: how much matter is in an object how much inertia an object has How lazy an object is to change what it is doing Units of Kilograms Weight: the force of gravity on an object Units of Newtons (N) (weight) Fg = m g Mass (kg) 9.8 m/s2 (on earth) What is the force of gravity on 1 kg object (on earth) The force of gravity (weight) on a 1 kg object is: 9.8 N 1N = kg m 1 s2 An object weighs 250 N on earth, what is its mass? Draw a freebody diagram for a 3 kg book sitting motionless on a desk. Then give the magnitudes of all forces. A spring scale can be used to determine the mass of an object. Demo with a mass… Does it measure mass or force? A spring scale measures force It has a Newton scale also. How can it tell us the mass of an object? (show with finger) But the more mass an object has, the more weight (Force) it has. A spring scale reads 10 N when holding a 10 N mass. What will 2 scales read when holding up the same mass? 0N 10 N 10 N 10 N A girl sitting in a swing has weight of 100 N. What is the tension force in each chain? How strong does the rope need to be in each case if the person and seat have a mass of 72 kg? Is it the same? A B If unbalanced forces are applied to an object, there is always a SINGLE force will cancel out the other forces. It is called the EQUILIBRANT, because it establishes equilibrium What would the equilibrant be in the following cases 10 N 10 N 15 N 20 N 30o 15 N 20 N 30o What is the equilibrant in the following cases with 2 or more forces. The length of the vector indicates the magnitude of the force 10 N 10 N 10 N 10 N What is the equilibrant in the case below 10 N 15 N What single force would cancel out these two forces? First add them together and find their resultant, then find the opposite 25 N 10 N Let’s try one on the board. What single force will cancel a 50 N force at 30o N of E and a 25 N force at 40o S of E? 30o 40o 25 N 50 N Equilibrant WS For an object at equilibrium, all forces must cancel. So one of the forces must be the equilibrant for all of the other forces? A+B+C=0 B A C The resultant of A + B is equal and opposite of C A+B=-C B A C The resultant of B + C is equal and opposite of A B + C = -A B A C The resultant of A + C is equal and opposite of B A + C = -B B C A Equilibrant WS A 120 N girls sits in a swing The FT in each chain is 60 N 60 N 60 N 120 N If the chains are slanted out at 30o, will the force in each go: Up, down, or stay the same ? ? Consider an example with 2 spring scales and a mass 120 N If the chains are slanted out, will the force in each chain go: Up, down, or stay the same ? ? Draw a free body diagram 120 N The length of the cable does not tell us its force, just the direction of the force. To find how much we need to draw to scale 30o 120 N Fg = 120 N The two tension forces must cancel out the force of gravity which means, that their resultant is.. 30o 120 N Fg = 120 N Now to finish off the parallelogram, but how?? I only know the directions of the forces? 30o 120 N Fg = 120 N Now draw the tension vectors… 30o 120 N FT1 FT2 Fg = 120 N How we tension find theinnumber Newtons In thiswould case the EACHofrope is 120 N. of tension? Why is the tension in the cable twice what it would be if they were both straight up? FT1 = 120 N FT2 = 120 N 30o 120 N Fg = 120 N Just to connect with to what we have done before in free body diagrams. What do we know about the component vectors? FT1 FT2 30o 120 N Fg = Just to show you with all of the numbers 120 120 60 N 60 N 30o 104 N 104 N 120 N 120 N Much of the tension in the rope just cancels horizontally 120 N Fg Which cables will have more tension in them? 120 N Fg 60o 145 kg Fg 30o 145 kg Fg 60o FTY 145 kg Fg FTY 30o 145 kg FTY FTY Fg FTY 60o Fg 30o FTY FTX Fg Which rope is more likely to break? Which rope is more likely to break? FT Two cables both at 40o from the horizontal are holding up a 15 kg mass. Find the force of tension in each cable. What if 1 cable is at 45o and the other at 20o. Is the tension in each the same? 5.0 kg Fg Fg Book problems page 57-58 21, 25, 36 Concept WS Force Mass and Acceleration Lab So if a net force is on an object it accelerates Is that all there is too this? What if I blew the yard blower on a tennis ball, then a bowling ball? IF the SAME Force is applied to different objects, How quickly they speed up depends on their: MASS Newton’s 2nd law Force is proportional to mass x acceleration F=ma NET Note that Force and acceleration are vectors An object will accelerate in the direction of NET force, UNITS??? F=ma Kg Kg m 2 s Newton m 2 s Kg m s2 Newton 1 Newton of force is equivalent to the weight of 100 mL of water or about 1/5 of a pound. F=ma The Force increases? What happens to Acceleration if The Mass increases? If a force of 800 N is applied to a 1200 Kg car, what is its acceleration? What force is needed to accelerate a 1300 Kg car at 2.5 m/s2? A 3.0 Kg object has a force of 250 N pushing it forward and 650 N pushing it backwards. What is it acceleration? A 3.0 Kg object has a force of 250 N pushing it forward and 250 N pushing it backwards. What is it acceleration? What force would be required to accelerate a 1200 kg car from rest to 15 m/s in 6 seconds? A 1 kg mass and a 10 kg mass are dropped which hits the ground first? BUT WHY????? Does the larger mass have a bigger Force (of gravity) accelerating it ??? 1 10 force force YES 10 x as much But the larger mass also has more inertia!!!! 1 force = mass a The 10 kg has: 10 x as much Force on it and 10 times as much inertia 10 force a = mass If the same force is applied to a 1 kg mass and a 2 kg mass. Compare their accelerations Compared to the 2 kg object, After 2 seconds will the 1 kg object have gone: the same distance twice as far ½ as far 4 times as far? A truck can accelerate at 5 m/s2 fully loaded. At what rate can it accelerate after it drops off its load And decreases its mass to ¼ of its original mass? Two forces are applied to boats, What is the acceleration? 100 N 100 N 100 kg 100 N 100 N 100 kg 100 N 100 kg 200 N 100 N 100 N 100 kg NET FORCE determines acceleration!!!!!! A rope pulls on a 5 kg bucket with a a force of 120 N. What is the buckets acceleration? Don’t forget about gravity here. How much force would need to be applied to move it upward At a constant 2.5 m/s? F = ma WS One student sits down in a wheeled chair. And another student stands and pushes them. Two students on wheeled chairs push off of each other Two students on wheeled chairs, one student pushes the other What force accelerates the car forward FF tire, road But how does the shuttle take off? The answer can be found by simply jumping off an untethered boat. In order for you to make it to the dock the boat must exert a force on you FN, person, boat The boat pushes you forward but…. You exert a force on the boat which is Equal in magnitude Opposite in Direction FN, boat, person FN, person, boat Forces come in pairs -action reaction pairs For every action there is an equal and opposite reaction (force) Newtons 3rd Law Or restated Whenever two objects are in contact they exert equal and opposite forces on each other called action – reaction. this is NOT a conscious push or pull, it is an inescapable law of nature. Newtons 3rd Law Reminderthe equal and opposite forces are on DIFFERENT objects. Activity: Pair up and everyone take a spring scale. Hook the ends together and have 1 person pull with a force of 4 newtons and the other with a force of 8 N While the ball is in contact with the face… There is a force on the player HOW DO WE KNOW THIS? While the ball is in contact with the face… There is a force on the player AND ON THE BALL HOW DO WE KNOW THIS? These forces are equal and opposite They are on different objects. FN, Person, Ball FN,Ball,Person This is not a conscious push. These forces are equal and opposite They are on different objects. FN, Person, Ball FN,Ball,Person Do the forces cancel each other out? No, they are on different objects. Action – Reaction forces don’t cancel each other because they are on different objects. 5N 5N 5N 5N Common Sceniarios Catching a ball Hammering a nail Driving a car A falling ball What are the action reaction forces When a gun or cannon is fired, what are the action reaction pair? Compare the forces each object feels They will both accelerate, do they both speed up the same? a= F m a = F m Your jet pack stops working & you are drifting away. All you have is a hammer. What do you do? What makes the shuttle go? Think back to firing a gun. What are the action reaction forces. Fuel Oxygen What is direction of the net force on the exhaust FN,exhaust,shuttle What is the reaction force? FN,shuttle,exhaust FORCES ON AN AIRPLANE How does an airplane wing generate lift? CONSIDER A WING MOVING THROUGH THE AIR What direction is the force applied to the air molecule, think about making El Nino perform a sharp turn F N,wing, air F N,air, wing Wings are usually at shallow angles F N,wing, air F N,wing, air lift drag drag lift A person is stationary on a floor what is an action – reaction pair of forces? Are these forces a action reaction pair? No they are both parts of two interaction pairs What is an action reaction pair for: A person standing on a scale If the force of gravity on the person is 350 N. What does the scale read? A car running into a tree A big kid pushes a little kid on frictionless ice, who feels the bigger force? A little kid and a big kid are holding a rope (on frictionless ice) If the big kid yanks on the rope, who feels the greater force? They both feel the same amount of force!! Again a consequence of Newton’s 3rd law. A rope just transfers that force. Both objects connected to a rope feel same amount of force. Think about what happens if one side lets go. Newton’s Third Law Competition There are 6 questions, work in groups of 4 Write your answers on a piece of paper with your group names Don’t write on the hand outs. OK The group that gets the most correct will get 2 BP per person A tie will result in 1 BP for all members involved. You have 10 minutes to come up with your answers. Then we will go over them Book problems: Page 84 – 85: 24, 25, 28, 32, 33, 35, 36, 37, 38, 39 due Fri Friction What would life be like without it? Friction If an object slows down, where does its Kinetic Energy go? What causes it? •all surfaces are rough on a microscopic scale. Frictional force can also be thought of as a lot of teeny weeny normal forces resulting from points of contact also may be some attraction between the atoms and molecules between two surfaces This is definitely the case when it comes to many adhesives Two types of Friction • Force that opposes the motion or impending motion of two surfaces in contact FF,box,ground FF,box,ground Static Frictionobjects are not sliding Kinetic or Sliding Frictionobjects are sliding FF,box,ground FF,box,ground Friction Lab Friction Lab Recap Factor Effect on FF Weight pushing down Weight FF Area of Contact No Effect Materials in Contact Depends on Materials Static vs Kinetic Static > Kinetic Velocity of Object No effect DOES depends on: • Types of material in contact (rougher = more) FF • Greater Normal force = more friction • Whether the object is moving or not (static is more than kinetic) It does NOT depend on: •the area of contact •the speed of movement FF = mFN Friction Force in N What are the units on m? Normal Force in N Coefficient of Friction Fudge Factor based on: Materials in contact & Moving (kinetic, mK) or Stationary (static, mS ) Why FN & not just Fg (sometimes they are the same) consider a stationary box FN Fg Why FN & not just Fg (sometimes they are different) If another force is pushing down or up FN, box, floor Fg, box, earth Frocket Why FN & not just Fg (sometimes they are different) If another force is pushing down or up FT, box, rope FN, box, floor Fg, box, earth Why FN & not just Fg (sometimes they are different) If the surface is not level FN, box, floor Fg, box, earth Some examples of coefficients of friction ms rubber/dry concrete rubber/wet concrete steel / steel (dry) steel / steel (oiled) dry auto brakes wet auto brakes .8 .60 .78 .15 mk .65 .40 .58 .06 .4 .2 Why is it easier to spin your tires when it is wet? Smooth Surface Rougher Surface Block is stationary - STATIC FRICTION (the harder you pull, the greater Friction resists) FF = ms FN FF (N) Time When the applied force exceeds the maximum FF, the object slips and begins to move kinetic friction FF = ms FN FF (N) FF = mk FN Time The wheel of a tire is rolling down the road, the driver hits the gas and friction drives the wheel forward. Is this Static Friction or Kinetic Friction? Why do you accelerate poorly when you are “peeling out” People have been known to let some air out of their tires when street drag racing to get more contact with the road. Does this help acceleration? What is weight? What is a situation that makes you feel heavier or lighter? What does your bathroom scale measure? Mass or Force Is mass a force? NO, but it can exert a force, What is causing the person to exert a force This force is usually referred to as weight Fg = m g Mass of the person gravity, 9.80 m/s2 Weight is a force It changes depending on where you are earth vs. the moon the acceleration on object would experience on the moon is 1.6 m/s2 What force would 65.8 kg exert there? F = ma = 65.8 kg * 1.6 m/s = 110 N I have “lost” 84% of my weight!! The FEELING of weight or weightlessness (like that tickle in your stomach when you go over a hill) comes from feeling the forces at work you. Forces on your outsidelike your butt in a chair or feet on the floor Forces on your insideyour guts being pushed by your pelvic bone Your apparent “weight” also depends on if you’re movement How do you feel when? The elevator starts upward Heavier after you get going Same Slowing down to a stop Lighter the elevator cord is cut Weightless stationary FN,you,floor F net= 0 you feel “normal” Fg,you,earth FN,you,floor accelerating up F net= Fg,you,earth You feel “heavier” not because you weigh more but because the floor is pushing harder on you. (Your pelvic bone has to push harder on your insides as well) stationary FN,you,floor F net= 0 you feel “normal” Fg,you,earth FN,you,floor moving up but slowing F net= Fg,you,earth You feel “lighter” not because you weigh more but because the floor is barely pushing on you. You get a tickle in your “stomach”