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Page | 218 Energy Unit Student Design Cover Page (See directions on page 19) Page | 219 Energy Unit Front Page At the end of this unit I will be able to: Define and describe work. Describe the role of energy in physical processes and living organisms. Complete calculations of power, energy, force, and work. Differentiate between potential energy and kinetic energy. Use the law of conservation of energy to predict kinetic energy, potential energy, or velocity. Quantities and units I will understand and use are: Quantities: Work, power, mechanical energy, kinetic energy, force, mass, velocity, distance Units: Joule, watt, newton, kilogram, m/s (meters per second), meters The terms I will clearly define are: Efficiency, energy, fulcrum, joule, kinetic energy, law of conservation of energy, lever, machine, mechanical advantage, mechanical energy, potential energy, power, pulley, watt, work, work-energy theorem The assignments I will have completed by the end of the unit are: Page | 220 Energy Unit Formulas, Quantities, and Units Variables in equation: W=Fd P=W t Units for variable: Misc. info W= (J) F= (N) d=_ (m) Variables in equation: 1 joule = 1 N 1 m Units for variable: P= Misc. info (W)* W* = (J) t= (s) 1 watt = 1 joule/sec *Be careful! Variables in equation: Units for variable: GPE = GPE = mgh KE = (J) m= (kg) g= (m/s2) h= (m) Variables in equation: ½mv2 Misc. info KE = m= v= Units for variable: Misc. info (J) (kg) (m/s) Page | 221 Checking for Understanding: Work & Power 1. Compared to lifting one book, how much more work is done when lifting two books the same distance? 2. Compared to lifting one book, how much more work is done when lifting two books twice as far? 3. Which requires more work, lifting a 10-kg load a vertical distance of 2 m or lifting a 5-kg load a vertical distance of 4 m? 4. How much power is required to do 100 J of work on an object in a time of 0.5 sec? 5. How much power is required to do 100 J of work on an object in a time of 1.0 sec? 6. Explain how work and impulse are similar and different. Write at least 3 complete sentences. Include the units for both quantities in your explanation. 7. Two elevators do the same job of lifting 10 identical passengers up three floors, yet the machines have different power outputs. How is this possible? Page | 222 Work & Power Notes What is work? Work is done when ____________________________________________________________ ___________________________________________________________________________________ W= Work is measured in _________________________________(J). What is the unit for work? 1 J = ________________________________________________________ Is holding a heavy book considered work? Work is done ________________________________________: o A force is applied o _______________________________________________________ _______________________________________________________ If you _________________________________ you are ________________________ __________________________________________________________________________ The work that is done is on __________________________________________ __________________________________________________________________________ Power is __________________________________________________________________________ _____________________________________________________________________________________ P= What is power? Power is measured in __________________________________ 1 watt = Page | 223 Simple Power/Work Calculations: 1. Calculate the work done when a 20-N force pushes a cart 3.5 m. 2. Calculate the work done in lifting a 500-N barbell 2.2 m above the floor. 3. Calculate the power expended when the barbell above is lifted 2.2 m in 2 s. 4. What work is done in lifting a 50-kg block to a height of 20 m? 5. What is the work done in raising a 20-kg package 60 cm vertically? 6. Determine the power expended when a barbell is raised 4.0 m in 2 seconds. Page | 224 Warm Up: Jack and Jill ran up the hill. Jack is twice as massive as Jill; yet Jill ascended the same distance in half the time. a. Who did the most work? Use the space below to write out any relevant formulas and to brainstorm, then answer the question at the bottom in well thought-out, complete sentences! b. Who delivered the most power? Use the space below to write out any relevant formulas and to brainstorm, then answer the question at the bottom in well thought-out, complete sentences! Page | 225 Calculating Power and Work 1. A person lifts a package weighing 75 N. If she lifts it 1.2 m off the floor, what work has she done? 2. When 142 J of work is done in pushing a box horizontally 13.3 m, how much force is applied? 3. What work is done when a person pushes a refrigerator weighing 720 N across a floor 12 m if the force of friction between the refrigerator and the floor is 480 N? Page | 226 Calculating Power and Work 4. A student applies an upward force to lift a 129-kg barbell to a height of 1.98 m at a constant speed. How much work is done? 5. On a recent adventure trip, Anita Break went rock-climbing. Anita was able to steadily lift her 80.0-kg body 20.0 meters in 100 seconds. Determine Anita’s power rating during this portion of the climb. Page | 227 Forms of Energy Page | 228 Energy Notes Mechanical Energy (ME) is energy that ___________________________________ ______________________________________________ What is mechanical energy and what are the two types? Two types of mechanical energy: 1. ________________________________________________(PE) -- The energy due to an object’s _______________________________ 2. ________________________________________________ (KE) -- The energy due to an object’s ________________________________ Energy is measured in ____________________ Potential energy is energy that has _______________________________ _________________________________________. What is potential energy? The energy is considered in a __________________________________. __________________________________________________ in fuels, electric batteries, and the food we eat is potential energy due to the positions of the electrical charges at a submicroscopic level! To elevate an object, ___________________ must be done to lift the object against ___________________________________________________. How much work must be done to elevate the object is also the amount of PE it has! What is gravitational potential energy? Gravitational potential energy is the energy ____________________ ____________________________________________________ GPE = GPE = GPE = Page | 229 Energy Notes Page | 230 Energy Notes • If an object is moving, it can _____ _________________! • Kinetic energy is the ________________________________________, and depends on the ____________________________________________________. • KE = • KE = Work required ______________________________________________ What is kinetic energy? ______________________________________________________________________ • KE = • ½ mv2 = • Whenever work is done, _______________________________________. Law of conservation of energy: Explain the law of conservation of energy. _______________________________________________________________________________ _______________________________________________________________________________ • ME = KE + PE • The total ______________ is conserved, even if ___________ and ___________ change. Page | 231 Potential Energy & Kinetic Energy Venn Diagram Warm Up: Page | 232 Checking for Understanding: Energy Page | 233 Page | 234 Energy Unit Study Guide 1. Circle “yes” or “no” to indicate whether work was done in each situation below. Then, explain your answer. a. b. c. d. e. A teacher applies a force to a wall and becomes exhausted. Explanation: Yes or No? A weightlifter lifts a barbell above her head. Explanation: Yes or No? A waiter carries a tray full of meals across a dining room at a constant speed. Explanation: Yes or No? A rolling marble hits a note card and moves it across a table. Explanation: Yes or No? A shot-putter launches the shot. Explanation: Yes or No? 2. Two physics students are in the weightlifting room. Will lifts the 100-pound barbell over his head 10 times in one minute; Ben lifts the 100-pound barbell over his head 10 times in 10 seconds. a. Which student does the most work? b. Which student delivers the most power? 3. Bart runs up a 2.91-meter high flight of stairs at a constant speed in 2.15 seconds. If Bart’s mass is 65.9 kg, determine the work which he did and his power rating. Page | 235 Energy Unit Concept Map (see page 19 for directions) Page | 236 Energy Unit Concept Cards Page | 237 Energy Unit Back Page The California Dept. of Education Standards I have come to understand are: 2.a. Students know how to calculate kinetic energy by using the formula E = (1/2)mv2. 2.b. Students know how to calculate changes in gravitational potential energy near Earth by using the formula (change in potential energy) =mgh (h is the change in the elevation). 2.e. Students know momentum is a separately conserved quantity different from energy. 2.g. Students know how to solve problems involving elastic and inelastic collisions in one dimension by using the principles of conservation of momentum and energy. 3.a. Students know heat flow and work are two forms of energy transfer between systems. 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