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Suppose you use an average of 500 $\mathrm{kW}$ -h of electric energy per month in your home. (a) How long would 1.00 $\mathrm{g}$ of mass converted to electric energy with an efficiency of 38.0$\%$last you? (b) How many homes could be supplied at the 500 $\mathrm{kW}$ h per month rate for one year by the energy from the described mass conversion?

(a) $u_{\mathrm{p}}=0.380 \mathrm{c}$(b) $u_{\mathrm{e}}=0.99995 \mathrm{c}$

Physics 103

Chapter 28

Special Relativity

Relativity

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Simon Fraser University

University of Sheffield

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the rest. Moss of one object is given by risk. More synergy. You not is equal to M C Square. Let's say this is a question number one Here I am is the muscle. The material on dhe C is the speed of light. The energy, uh, converted into electrical energy from rest moss Energy with an efficiency off he's given by E is equal to e times you not well. He is the energy, uh, couldn't work it into electrical energy from risk. Monsignor and sheep. So you know it is the rest months internship, and he here stands for efficiency. Well, it is given that the electrical consumption per month electrical consumption Herman equals 500 kilo. What are a month? And it's mean old age one kilowatt you are is energy. And it's equal to 3.60 multiplied by 10 to the dollar. Six Jules and therefore we get, uh, anarchy comes. Option is equal to five fun bread. Kilowatt are multiplied by tree tree line 60 Multiply by 10 to the power six. Jules divided by, uh 1.0 kin low want our onda We get energy comes option is equal to, um 1.0. Multiply by 10 to the power nine Jule her mark. So energy consumption permanent is one pointed to multiply by tend to the bower mine. Jules, the months of the material which come working to electrical and cheap uh, M is equal to 1.0 zero graham and one gram equals 10 to the dollar, minus three kilograms and efficiency off. Useful energy conversion efficiency off useful energy conversion. He is equal to 38 percent and 38% is 0.38 All right, so 38% is suitable. Point tree it. Well, uh, it's me. No need. You not equals m C Square and M is 1.0 multiplied by 10 to the bomber minus three kilogram multiplied by speed of flight. Speed of light is 3.0 Most of my by 10 to the power Get it meter or second square. And this gives us mine 0.0 Multiply by Deputy Bauer, 13 kilogram, meter, square or second square. And therefore he not is equal to mind blowing 00 multiply by 10 to the power Jardine jewels since kilogram meters with our second sweep is Jules. Well, uh, the energy converted in the useful electric energy is e equals efficiency times. You not well, uh, efficiencies. 0.38 Multiply by the Nazis mind blind 00 Multiply by 10 to the hour 13 Jules and then four equals tree Pined for two. Multiply by 10 to the barber 13. Jules. So e equals 3.4 to multiply by time to the dollar. Turning. Jules the time for which this mosque provide the electric energy is, um, okay, divided by, um, and Archie, uh, consumption. And this equals well, e is ah, three point for to multiply by 10 to the power to angels divided by energy. Consumption is 1.80 Multiply by 10 to the forward mine jewels off energy per month. And therefore, uh, t is equal to times is equal to 1.90 Multiplied by 10 to the power for morning. And we have, uh, 1008 500 Eddie, three years, one point minds and multiply by 10 to the power for months. Mark equals one poles and 500 83 years. All right, well, um ah, the energy consumption permanent by a single home. One is equal to one point ed zero. Multiply by 10 to the power mine. Jule, uh, Player Month. This is, uh ah. The energy consumption permanent by a single home and then for the energy consumption in one year by a single home, uh, in one year by a single harm. Let's see, even two equals 1.8 1.80 multiplied by 10 to the power mine, Jule for a moment, multiply by 12 months since we want to calculate for one year. So he for one year equals 2.16 Multiply by 10 to the power of 10. Jules. All right. Now, the total number of homes those consumed the energy one year provided by one drum Aussies N is equal to Edie body by, uh, e 12 Well, he is ah, three point for two multiplied by 10 to the power for Dean Jules. Divided by even to is ah, 2.16 Multiply by 10 to the power 10 jewels and dividing the two numbers n equals ah, 15 feet free

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