PHYSICS: Motion, Forces and Motion, Forces in Fluids and Work and Machines MOTION 11-1 An object is in motion if it changes position relative to a reference point Stationary objects make good reference points To describe motion accurately and completely, a frame of reference is necessary. The answer to “How fast is the butterfly is moving?” depends on which frame of reference you use to measure its motion. The answer to “ How fast are the train passengers moving?” depends on the frame of reference you use measure their motion. Choosing a meaningful frame of reference allows you to describe motion in a clear and relevant manner. RELATIVE MOTION Whether or not an object is in motion depends on the reference point you choose. DISTANCE AND DISPLACEMENT Distance is the total length of the actual path between two points. Displacement is the length and direction of a straight line between starting and ending points. What is the total distance this person traveled (in blocks)? 7 Blocks What is the total displacement of this person? 5 Blocks Northeast MORE ON DISPLACEMENT: VECTORS Vector quantities that have both a magnitude and a direction CALCULATING SPEED 11-2 If you know the distance an object travels in a certain amount of time, you can calculate the speed of the object. AVERAGE SPEED The speed of most moving objects is not constant INSTANTANEOUS SPEED Rate at which object is moving at a given instant in time A few more practice problems… VELOCITY Speed in a given direction Velocity is a vector because it has both magnitude and direction Changes in velocity may be due to changes in speed, changes in direction, or both A cheetah’s speed may be as fast as 90 km/h but to describe its velocity you must know the direction in which it is moving. As the sailboat’s direction changes, its velocity also changes, even if its speed stays the same. GRAPHING MOTION You can use distance-versus-time graphs to interpret motion. REVIEW QUESTIONS 1. Is a moving bus a good reference point from which to measure your position? a. No, because it is often late. b. No, because it is not a stationary object. c. Yes, because it is very large. d. Yes, because it can travel very far. REVIEW QUESTIONS 1. Is a moving bus a good reference point from which to measure your position? a. No, because it is often late. b. No, because it is not a stationary object. c. Yes, because it is very large. d. Yes, because it can travel very far. REVIEW QUESTIONS 2. To describe a friend’s position with respect to you, you need to know a. Your friend’s distance from you. b. The direction your friend is facing. c. Your friend’s distance and direction from you. d. Your friend’s distance from a nearby object. REVIEW QUESTIONS 2. To describe a friend’s position with respect to you, you need to know a. Your friend’s distance from you. b. The direction your friend is facing. c. Your friend’s distance and direction from you. d. Your friend’s distance from a nearby object. REVIEW QUESTIONS 3. Two cars traveling in the same direction pass you at exactly the same time. The car that is going faster a. moves farther in the same amount of time. b. has more mass. c. has the louder engine. d. has less momentum. REVIEW QUESTIONS 3. Two cars traveling in the same direction pass you at exactly the same time. The car that is going faster a. moves farther in the same amount of time. b. has more mass. c. has the louder engine. d. has less momentum. REVIEW QUESTIONS 4. To describe an object’s motion, you need to know its a. position. b. change in position. c. distance. d. change in position over time. REVIEW QUESTIONS 4. To describe an object’s motion, you need to know its a. position. b. change in position. c. distance. d. change in position over time. ACCELERATION 11-3 The rate at which velocity (speed and direction) changes Is a vector quantity In science, acceleration refers to changes in speed, changes in direction or both Decreasing speed = deceleration Describe the acceleration occurring at this instant on the roller coaster. CALCULATING ACCELERATION To determine the acceleration of an object, you must calculate its change in velocity per unit of time. LET’S TRY A PROBLEM Calculate the plane’s acceleration in the first 5 seconds of motion. A= Vf – Vi time A = 40 m/s – 0 m/s 5s A = 8 m/s2 CALCULATING ACCELERATION As a roller-coaster car starts down a slope, its velocity is 4 m/s. But 3 seconds later, its velocity is 22 m/s in the same direction. What is its acceleration? Read and Understand What information have you been given? Initial velocity = 4 m/s Final velocity = 22 m/s Time = 3 s CALCULATING ACCELERATION As a roller-coaster car starts down a slope, its velocity is 4 m/s. But 3 seconds later, its velocity is 22 m/s in the same direction. What is its acceleration? Plan and Solve What quantity are you trying to calculate? The acceleration of the roller-coaster car = __ What formula contains the given quantities and the unknown quantity? Acceleration = (Final velocity - Initial velocity)/Time Perform the calculation. Acceleration = (22 m/s - 4 m/s)/3 s = 18 m/s/3 s Acceleration = 6 m/s2 The acceleration is 6 m/s2 down the slope . CALCULATING ACCELERATION Practice Problem A falling raindrop accelerates from 10 m/s to 30 m/s in 2 seconds. What is the raindrop’s acceleration? (30 m/s - 10 m/s) ÷ 2 seconds = 10 m/s2 CALCULATING ACCELERATION Practice Problem A certain car can accelerate from rest to 27 m/s in 9 seconds. Find the car’s acceleration. (27 m/s - 0 m/s) ÷ 9 s = 27 m/s ÷ 9 s = 3 m/s2 GRAPHING ACCELERATION You can use both a speed-versus-time graph and a distance-versus-time graph to analyze the motion of an accelerating object. MR. EDMONDS!! http://youtu.be/4CWlNoNpXCc WHAT IS A FORCE? A push or pull that acts on an object Is a vector quantity Described by its magnitude and by the direction in which it acts Arrow represents direction Magnitude unit = Newton (N) 1N = 1 kg*m/s² NET FORCE Often there is more than one force acting on an object at the same time Pushing a car that’s run out of gas The result is net force, a combination of all the forces Net force determines whether an object moves and in which direction Sometimes the net force is zero COMBINING FORCE VECTORS The strength and direction of the individual forces determine the net force. UNBALANCED FORCES Unbalanced forces acting on an object result in a net force and cause a change in the object’s velocity. BALANCED FORCES Balanced forces acting on an object do not change the object’s velocity. FRICTION A force 2 surfaces exert on each other when they rub against each other Acts as an unbalanced force to slow motion down The strength of the force of friction depends on the types of surfaces involved and how hard the surfaces push together 4 types of friction 1) STATIC FRICTION Acts on objects that are not moving You must exert a force greater than the force of static friction to make the object move 2) SLIDING FRICTION Occurs when two solid surfaces slide over each other 3) ROLLING FRICTION Occurs when an object rolls across a surface Rolling friction is less than sliding friction for similar surfaces 4) FLUID FRICTION Occurs when a solid object moves through a fluid, such as air, water, oil, etc. Fluid friction is usually less than sliding friction GRAVITY Force that pulls towards the center of the earth Newton realized that gravity acts everywhere, not just on earth Called the Law of Universal Gravitation Any 2 objects in the universe attract each other GRAVITY BETWEEN OBJECTS The force of gravity between objects increases with greater mass and decreases with greater distance. MASS AND WEIGHT Mass is how much matter is in an object The gravitational force exerted on a person or object at the surface of a planet is known as weight. Weight = Mass x Acceleration due to gravity Acceleration due to gravity at Earth’s surface = 9.8 m/s2 FREE FALL If the only force acting on the object is gravity, it is said to be in free fall An object in free fall is accelerating because of the force of gravity at a rate of 9.8 m/s/s This means that every second an object is free falling, it increases its velocity 9.8 m/s Is this affected by mass? If dropped from the same height at the same time, will a heavier object fall faster? FREE FALL No! If there are no other forces to consider, then the objects will fall at the same rate, regardless of mass. AIR RESISTANCE A type of fluid friction that acts on objects falling through the air An upward force acting on a falling object AIR RESISTANCE Falling objects with a greater surface area experience more air resistance. PROJECTILE MOTION Occurs when an object is thrown horizontally Gravity will act on the object in the same way as it does when an object is dropped vertically NOTES 12-2 AND 12-3 NEWTON’S FIRST LAW OF MOTION An object will remain at rest or moving at a constant velocity unless it is acted upon by an unbalanced force Inertia is the tendency of an object to resist a change in motion Newton’s First Law of Motion = The Law of Inertia NEWTON’S 2ND LAW Acceleration depends on the net force acting on the object and on the objects mass Acceleration = Net Force Mass Or Net Force = Mass * Acceleration ELASTIC Matter is considered elastic if it returns to its original shape after being squeezed or stretched. 2 TYPES OF ELASTIC FORCES: Compression Tension COMPRESSION Elastic force that squeezes or pushes matter together Example: sitting on a coach Balanced force TENSION An elastic force that stretches or pulls matter Example: Swinging on a tire swing Balanced forces BRIDGES NEWTON’S 3RD LAW If one object exerts a force on another object, then the 2nd object exerts a force of equal strength in the opposite direction on the first object. WHAT???? = for every action there is an equal but opposite reaction. ACTION- REACTION PAIRS UNIVERSAL FORCES 12-4 Electromagnetic Electric Magnetic Nuclear Forces Strong Nuclear Force Weak Nuclear Force Gravitational Force Gravity Acts Over Large Distances The Earth, Moon and Tide FLUID PRESSURE 13-1 What Is Pressure? The amount of pressure you exert depends on the area over which you exert a force. CALCULATING PRESSURE Width Area = Length x Units: Force- Newton (N) Area-square meters (m2) Pressure- Pascal (Pa) AREA The area of a surface is the number of square units that it covers. To find the area of a rectangle, multiply its length by its width. The area of the rectangle below is 2 cm X 3 cm, or 6 cm2. AREA Practice Problem Which has a greater area: a rectangle that is 4 cm X 20 cm or a square that is 10 cm X 10 cm? The square has the greater area. 4 cm X 20 cm = 80 cm2 10 cm X 10 cm = 100 cm2 FLUIDS A material that can easily flow Examples? Liquids Gases Tiny particles are constantly moving and colliding with surfaces, which exerts forces on the surfaces. FLUID PRESSURE All of the forces exerted by the individual particles in a fluid combine to make up the pressure exerted by the fluid. AIR PRESSURE Right now, there is approximately 100 km of fluid on top of you… AIR! The weight of the air exerts a force which causes air pressure or atmospheric pressure. Why are you not crushed by these fluids? The forces are exerted from all directions so they are balanced. VARIATIONS IN FLUID PRESSURE As your elevation increases, atmospheri c pressure decreases. VARIATIONS IN FLUID PRESSURE Water pressure increases as depth increases. MEASURING PRESSURE You can measure atmospheric pressure with a barometer Decrease in pressure = storm Meteorologists use barometers to measure pressure to help forecast the weather AIR PRESSURE AND ALTITUDE http://youtu.be/7_yf-iRf8Vc BONUS: NOTES 13-2 Pascal’s and Bernoulli’s Principles PASCAL’S PRINCIPLE Pressure increases by the same amount throughout an enclosed or confined fluid* When force is applied to a confined fluid, the change in pressure is transmitted equally to all parts of the fluid. *Keep in mind that a fluid in science means liquid or gas so Pascal’s principle pertains to gases as well. HYDRAULIC DEVICES A hydraulic device is a device that uses liquids to transmit pressure equally from one point to another. They consist of a column of confined fluid with a piston at each end. In a hydraulic device, a force applied to one piston increases the fluid pressure equally throughout the fluid. HYDRAULIC DEVICES Pascal stated when the pressure is changed in one part of the confined fluid (such as a small piston pushing down on the fluid), it will equal the change in pressure on the other end of the fluid and this pressure will be undiminished. The hydraulic device multiplies the small force put into the system yielding a large force exerted on the other end (the large piston). In other words, a small force can be exerted which will yield a large force that can do work. WHAT ARE HYDRAULIC SYSTEMS? Use liquids to transmit pressure and multiply force in a confined fluid Multiplies force by applying the force to a small surface area. The increase in pressure is then transmitted to another part of the confined fluid, which pushes on a larger surface area. Hydraulic systems are used to crush garbage, lift a car, move a bulldozer blade, lift a wheel chair, and even to raise the backdoor to an SUV. EXAMPLES OF HYDRAULIC LIFTS HYDRAULIC BRAKES The hydraulic brake system of a car multiplies the force exerted on the brake pedal. • http://youtu.be/rgb DyJhBb4c EXTENSION Hydraulic systems with air (remember, air is a fluid) In some cases you can't or wouldn’t want to use a liquid hydraulic system The brakes on a big truck are ALL gas--specifically, air-powered, and they work very well On a big printing press, there are a lot of compressed-air roller lifters because no one wants a book that has hydraulic fluid spattered on the pages. Advantages to hydraulic systems with liquid Fluids are incompressible (almost all of the pressure applied through the system is directly transmitted to the object which you want to lift) A complete lack of lag BERNOULLI’S PRINCIPLE Bernoulli’s principle states that as the speed of a moving fluid increases, the pressure exerted by the fluid decreases. http://youtu.be/olVJzVadiFs APPLYING BERNOULLI’S PRINCIPLE Bernoulli’s principle helps explain how planes fly. APPLYING BERNOULLI’S PRINCIPLE An atomizer is an application of Bernoulli’s principle. APPLYING BERNOULLI’S PRINCIPLE Thanks in part to Bernoulli's principle, you can enjoy an evening by a warm fireplace without the room filling up with smoke. APPLYING BERNOULLI’S PRINCIPLE Like an airplane wing, a flying disk uses a curved upper surface to create lift. DENSITY 13-3 Density is a measure of how closely packed the atoms in a substance are Density is a physical property All matter has measurable density Density = Mass Volume MASS Measured in grams using a balance scale VOLUME OF LIQUIDS Measured in mL using a graduated cylinder VOLUME OF REGULAR SOLID Measured in cm3 using math Volume = L x W x H VOLUME OF IRREGULAR SOLID Measured in mL by using the displacement method DENSITY UNITS g/mL Or g/cm3 CALCULATING DENSITY The density of a substance is its mass per unit of volume. For example, a sample of liquid has a mass of 24 g and a volume of 16 mL. What is its density? CALCULATING DENSITY Practice Problem A piece of metal has a mass of 43.5 g and a volume of 15 cm3. What is its density? 2.9 g/cm3 SINK OR FLOAT? By comparing densities, you can predict whether an object will sink or float in a fluid. An object that is more dense than the fluid it is in sinks. An object that is less dense than the fluid it is in floats on the surface An object with a density equal to that of the fluid floats at a constant depth. DENSITY Changes in density cause a submarine to dive, rise, or float. DENSITY Changes in density cause a submarine to dive, rise, or float. DENSITY Changes in density cause a submarine to dive, rise, or float. BUOYANCY Ability to float Ships are designed to have buoyancy BUOYANCY The pressure on the bottom of a submerged object is greater than the pressure on the top. The result is a net force in the upward direction. BUOYANCY The buoyant force works opposite the weight of an object. BUOYANCY Archimedes’ principle states that the buoyant force acting on a submerged object is equal to the weight of the fluid the object displaces. BUOYANCY A solid block of steel sinks in water. A steel ship with the same weight floats on the surface. LET’S REVIEW! What is the volume of a box with the dimensions 8cm by 5cm by 5cm? 8cm x 5cm x 5cm = 200 cm3 LET’S REVIEW! What is the volume of the dinosaur? 5.6mL-4.8mL = 0.8mL LET’S REVIEW DENSITY WITH MR. EDMONDS! http://youtu.be/TRkCz3zG7w0 LET’S REVIEW! If an object has a mass of 20 g and a volume of 40 cm3, what is its density? 0.5 g/cm3 Water has a density of 1.0 g/cm3. If the object described above were placed in water, will it sink or float? Float! WORK AND POWER 14-1 Work requires motion and direction Power is the rate of doing work CALCULATING FORCE A speedboat pulls a 55-kg water-skier. The skier to accelerates at 2.0 m/s2. Calculate the net force that causes this acceleration. Read and Understand What information have you been given? Mass of the water-skier (m) = 55 kg Acceleration of the water-skier (a) = 2.0 m/s2 CALCULATING FORCE A speedboat pulls a 55-kg water-skier. The skier accelerates at 2.0 m/s2. Calculate the net force that causes this acceleration. Plan and Solve What quantity are you trying to calculate? The net force (Fnet) = __ What formula contains the given quantities and the unknown quantity? a = Fnet/m or Fnet = m x a Perform the calculation. Fnet = m x a = 55 kg x 2.0 m/s2 F = 110 kg • m/s2 F = 110 N CALCULATING FORCE A speedboat pulls a 55-kg water-skier. The skier accelerates at 2.0 m/s2. Calculate the net force that causes this acceleration. Look Back and Check Does your answer make sense? A net force of 110 N is required. This does not include the force that overcomes friction. CALCULATING FORCE Practice Problem What is the net force on a 1,000-kg object accelerating at 3 m/s2? 3,000 N (1,000 kg x 3 m/s2) SOURCES OUTSIDE OUR TEXTBOOK http://wiki.answers.com/Q/Why_is_a_fluid_in_a_ hydraulic_machine_a_liquid_rather_than_a_gas http://auto.howstuffworks.com/autoparts/brakes/brake-types/air-brake3.htm