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Beginning Concepts and Basic Laws. Aristotle- 384 B.C.-322B.C. The natural state of things is at rest. Nothing moves unless you push it. Two kinds of motion Natural motion- straight up or straight down. Violent motion- resulting from an external push or pull. Galileo Galilei= 1564 A.D.-1642 A.D. 20 year study on objects in motion. Published The Little Balance, describing the hydrostatic principles of weighing small quantities. Became a teacher at the University of Pisa in 1589. Conducted experiments with falling objects and produced his manuscript Du Motu (On Motion). Galileo’s Concept of Inertia Except for the effects of air friction, objects of different weights fell to the ground in the same amount of time. Although a force is needed to start an object moving, once it is moving, no force is needed to keep it moving except for the force needed to overcome friction. Isaac Newton 1643-1727 I. Every object in a state of uniform motion tends to remain in that state of motion unless an external force is applied to it. II. The relationship between an object's mass m, its acceleration a, and the applied force F is F = ma. III. For every action there is an equal and opposite reaction. The relationship between mass and inertia Mass is the quantity of matter in an object Inertia involves an object’s resistance to change its state of motion. The amount of inertia an object has depends on its mass. GREATER MASS GREATER INERTIA Weight= Amount of gravitational pull on an object. Force= a push or a pull Weight and Mass are proportional 2x the mass= 2x the weight ½ the mass= ½ the weight Mass is measured in kilograms. (kg) The 5 Step Process What do you know? What do you need to know? What formula will you use? Apply the formula Check your work and apply your units Density= the measure of how much mass occupies a given space. Equation for density D= Mass/Volume grams/cubic centimeters (g/cm³) Kilograms (kg/m³) m= d x V V= m / d / cubic meter 5 Step Process Word Problem Example with Density Mandy held up a block of wood with a mass of 80 grams. Its volume was registered at 1.5 cm³. What is the density of the block of wood? Step 1: mass= 80 g and volume= 1.5 cm³ Step 2: density=? Step 3: D=m/v Step 4: D= 80 g / 1.5 cm³ Step 5: D= 53.33 g/cm³ Standard Units for F, M, A Acceleration is measured in meters per second squared (m/s²) Mass is measured in kilograms (kg) Force is measured in Newtons (N) 1 Newton = 1kg/m/s² What is weight? Weight = mg Weight is the force of gravity on a body. Near the surface of the Earth, g = 9.8 m/s2 Weight, Mass, and Gravity 5 Step Word Problems If Mr. Jolly has a mass of 110 kg, and gravity is registered at 9.8 m/s², what is his weight? What is the weight of Mr. Jolly on the moon where gravity is measured at 1.6 m/s²? What is the weight of Mr. Jolly on Jupiter where the gravity is measured at 26 m/s² Force, Mass, Acceleration Formulas to Know 5 Step Word Problems for Force, Mass, and Acceleration 1) Esaul allowed his hand to drop and strike the desk. If his hand has a mass of 8kg and gravity is registered at 9.8m/s², what would the force be when he struck the desk? Tony threw his medicine ball into the wall at 2 m/s² with 50 N of force. What was the mass of the ball? Madison rolled a 7kg bowling ball with 30 N of force down an alley toward pins. What was the bowling ball’s acceleration when it approached the pins? Quick Review 1) What is another name for a kg/m/s²? 2) What is a unit for acceleration? 3) What is the formula for: a) force b) mass c) acceleration 4) Why are Aristotle, Galileo, and Newton important to the field of physics? 5) List the 5 steps to a word problem below: -1 -2 -3 -4 -5 What is Energy? *Energy is defined as the ability to do work. Formula for work Work = Force x Distance The unit of force is newtons The unit of distance is meters The unit of work is newton-meters One newton-meter is equal to one joule So, the unit of work is a joule The concept of work. Example problem- A spring extends by 0.05m when a force of 9N is applied. Calculate the work. Word Problems How much work does a mover have to do if he needs to move a crate that requires 15 N of force a distance of 100m? A rope is thrown over a beam, and one end is tied to a 300 N bundle of lumber. You pull the rope 2 m off the ground. How much work is done? Introducing Power Power is work over a period of time P= Force x distance / time Force is in Newtons, distance is in meters, and time is in seconds. A unit of Power is measured in Watts (w). Power word problems 1) How much power is used if a force of 35 Newtons is used to push a box a distance of 10 meters in 5 seconds? 2) What is the power of a kitchen blender if it can perform 3,750 joules of work in 15 seconds? 3) How much work is done using a 500-watt microwave oven for 5 minutes. History of Work Before engines and motors were invented, people had to do things like lifting or pushing heavy loads by hand. Using an animal could help, but what they really needed were some clever ways to either make work easier or faster. Simple Machines Ancient people invented simple machines that would help them overcome resistive forces and allow them to do the desired work against those forces. Simple Machines A machine is a device that helps make work easier to perform by accomplishing one or more of the following functions: •transferring a force from one place to another •changing the direction of a force •increasing the magnitude of a force •Increasing the speed of a force The six simple machines are: Lever Wheel and Axle Pulley Inclined Plane Wedge Screw Mechanical Advantage It is useful to think about a machine in terms of the input force (the force you apply) and the output force (force which is applied to the task). When a machine takes a small input force and increases the magnitude of the output force, a mechanical advantage has been produced. Mechanical Advantage Mechanical advantage is the ratio of output force divided by input force. If the output force is bigger than the input force, a machine has a mechanical advantage greater than one. If a machine increases an input force of 10 pounds to an output force of 100 pounds, the machine has a mechanical advantage (MA) of 10. In machines that increase distance instead of force, the MA is the ratio of the output distance and input distance. MA = output/input Efficiency We said that the input force times the distance equals the output force times distance, or: Input Force x Distance = Output Force x Distance However, some output force is lost due to friction. The comparison of work input to work output is called efficiency. No machine has 100 percent efficiency due to friction. Mechanical Advantage with Inclined Plane Word Problems 1) Explain who is doing more work and why: a bricklayer carrying bricks and placing them on the wall of a building being constructed, or a project supervisor observing and recording the progress of the workers from an observation booth. 2. How much work is done in pushing an object 7.0 m across a floor with a force of 50 N and then pushing it back to its original position? How much power is used if this work is done in 20 sec? Word Problem Answers Explain who is doing more work and why: a bricklayer carrying bricks and placing them on the wall of a building being constructed, or a project supervisor observing and recording the progress of the workers from an observation booth. Work is defined as a force applied to an object, moving that object a distance in the direction of the applied force. The bricklayer is doing more work. 2. How much work is done in pushing an object 7.0 m across a floor with a force of 50 N and then pushing it back to its original position? How much power is used if this work is done in 20 sec? Work = 7 m X 50 N X 2 = 700 N-m or J; Power = 700 J /20 sec = 35 W Work / Power Questions 1) Adrian and his friends find themselves out of gas on the side of the highway. They apply a cumulative force of 1080 N to push the car 218 m to the nearest fuel station. Determine the work done on the car. Work / Power Questions 2) Lamar Gant, U.S. powerlifting star, became the first man to deadlift five times his own body weight in 1985. Deadlifting involves raising a loaded barbell from the floor to a position above the head with outstretched arms. Determine the work done by Lamar in deadlifting 300 kg to a height of 0.90 m above the ground. Work / Power Questions 3)During the Powerhouse lab, Jerome runs up the stairs, elevating his 102 kg body a vertical distance of 2.29 meters in a time of 1.32 seconds at a constant speed. Determine the power generated by Jerome. Work / Power Questions 4) The Taipei 101 in Taiwan is a 1667-foot tall, 101-story skyscraper. The skyscraper is the home of the world’s fastest elevator. The elevators transport visitors from the ground floor to the Observation Deck on the 89th floor at speeds up to 16.8 m/s. Determine the power delivered by the motor to lift the 10 passengers at this speed. The combined mass of the passengers and cabin is 1250 kg. Mechanic Advantage Problems 5) Javon uses a wheelbarrow to lift a load of bricks. The bricks weigh 600 N, which is more than Javon could normally carry. However, with the wheelbarrow, Javon can lift the bricks with as little as 120 N. What is the mechanical advantage of the wheelbarrow? Mechanical Advantage Problems 6) Jose wants to remove a tree stump from the ground. To do this, he puts one end of a long beam under the stump and puts all of his weight on the other end. His weight is just enough to lift the stump. The stump weighs 400 N. Jose weighs 250 N. What is the simple machine Jose is using and the mechanical advantage of that simple machine? Types of Energy Potential energy, stored energy based on position. Kinetic energy, the energy of movement. Potential Energy- Stored Gravitational potential energy is the energy stored in an object as the result of its vertical position or height. More massive objects have greater gravitational potential energy. The higher that an object is elevated, the greater the gravitational potential energy. PEgrav = mass • g • height Another form of Potential Energy Elastic potential energy is the energy stored in elastic materials as the result of their stretching or compressing. The more stretch, the more stored energy. Kinetic Energy- Motion There are many forms of kinetic energy - vibrational (the energy due to vibrational motion), rotational (the energy due to rotational motion), and translational (the energy due to motion from one location to another). Our class will only focus on translational energy. KE = 0.5 • m • v2 m = mass of object and v = speed of object Word Problem Example 1. A cart is loaded with a brick and pulled at constant speed along an inclined plane to the height of a seat-top. If the mass of the loaded cart is 3.0 kg and the height of the seat top is 0.45 meters, then what is the potential energy of the loaded cart at the height of the seat-top? Word Problem Ex. Answer A cart is loaded with a brick and pulled at constant speed along an inclined plane to the height of a seattop. If the mass of the loaded cart is 3.0 kg and the height of the seat top is 0.45 meters, then what is the potential energy of the loaded cart at the height of the seat-top? PE = m*g*hPE = (3 kg ) * (9.8 m/s/s) * (0.45 m) PE = 13.2 J Word Problem #2 Determine the kinetic energy of a 625-kg roller coaster car that is moving with a speed of 18.3 m/s. KE = 0.5*m*v2 KE = (0.5) * (625 kg) * (18.3 m/s)2