Name: _____________________________ ELesson2: Work and Power Problems Date: ___________ Period: _________ Work and Power πΎ = ππ πππ(π½) π·ππππ = πΎπππ ππππ Work Problems 1. Heather and Minh are arguing about the units of work. Minh says that the units of work are Newton-meters, but Heather thinks that the units of work are in Joules. Which of them is right? Explain your answer. What are your assumptions? 2. Sara is waiting in the security line at the airport and has to keep picking up her suitcase, moving forward, and setting it down again. Calculate the work done by Sara on her 15-kg suitcase in the following scenarios: a. When slowly lifting it 0.80 m upward, b. When holding it and slowly moving forward 1.0 m, and c. When lowering it 0.80 m down again. 3. Komila is pulling a sled up a hill that makes a 24ο° angle with the horizontal. She keeps the rope parallel to the hill and exerts a 150-N force on it. How much work will she do if she pulls the sled 150 m? 4. A 4 kg grocery cart rolls down a 3 m long incline with an angle of 10°. How much work does Earth do on the cart? 5. Juan pushes a box at an angle to the horizontal, doing 250 J of work over a distance of 10 m. If the force exerted is 30 N, what is the angle between the force exerted by Juan on the box and the horizontal? 6. To clean the floor, David exerts a 40 N force on a broom handle to push it 2 m. If the broom handle makes a 40° angle with the floor, what is the work done by David on the broom? If the broom handle were angled at 65° would David do more or less work? Explain your answer. 7. Tara pushes a baby carriage at an angle 35° to the horizontal over a distance of 20 m on her way to the playground. If she does 600 J of work on the carriage, what force does she have to exert on the carriage? 8. Dustin exerts 200 N of force on a box sitting on a horizontal surface. He does not do any work on the box. How is this possible? Explain your answer. Power Problems 9. Corrine is training for the annual javelin throwing contest. Determine how much power she exerts while lifting the following objects. Draw a picture of the initial and final states. a. a 1.5-kg javelin 1.0 m in 1.0 s b. a 1.5-kg javelin 1.0 m in 0.5 s c. a 1.0-kg javelin 2.0 m in 1.0 s d. a 2.0-kg javelin 1.0 m in 1.0 s 10. There are two types of light bulbs, incandescent and CFLs. Incandescent light bulbs are commonly rated at 60 Watts. CFL bulbs are rated at 14 Watts. a. In one minute how many Joules of energy would be converted for each bulb? In one hour? b. If you are charged $0.11 per KilowattβHr estimate how much money you could save per year using a CFL compared to an incandescent light bulb. What assumptions did you make in your calculations? 11. The luminosity of the Sun is the amount of power the Sun emits in the form of electromagnetic radiation. The Sun’s luminosity is 3.8 x 1026 W. If you were able to collect all of the Sun’s energy, estimate how long you have to collect it in order to light all of Earth’s light bulbs. Explain how you came to this conclusion.