E = mc² to answer the n the United States is on x 10¹1 m. At this distanc

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Chapter1: Units, Trigonometry. And Vectors
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Please answer both parts of question C.

1 Mass and Energy
Use the equivalence of energy and rest mass, E = mc² to answer the following questions.
(a) The total electrical energy generated in the United States is on the order of 10¹2 kWh per year. How much mass
is this equivalent to?
(b) The earth's orbital radius is about 1.5 x 10¹¹ m. At this distance from the sun, the energy flux of sunlight is about
1.4kW/m². How much mass does the sun radiate as light in one second?
(c) A student pedaling a bicycle full throttle produces about one-half horsepower of useful power. (1 hp is equivalent
to 746 W.) The human body is about 25 percent efficient: 75 percent of the food burned is converted to heat and
25 percent is converted to useful work.
How long will the student have to ride to lose one pound by conversion of mass to energy?
How come you do not have to exercise this long to lose a pound?
Transcribed Image Text:1 Mass and Energy Use the equivalence of energy and rest mass, E = mc² to answer the following questions. (a) The total electrical energy generated in the United States is on the order of 10¹2 kWh per year. How much mass is this equivalent to? (b) The earth's orbital radius is about 1.5 x 10¹¹ m. At this distance from the sun, the energy flux of sunlight is about 1.4kW/m². How much mass does the sun radiate as light in one second? (c) A student pedaling a bicycle full throttle produces about one-half horsepower of useful power. (1 hp is equivalent to 746 W.) The human body is about 25 percent efficient: 75 percent of the food burned is converted to heat and 25 percent is converted to useful work. How long will the student have to ride to lose one pound by conversion of mass to energy? How come you do not have to exercise this long to lose a pound?
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