Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Question
Chapter 11, Problem 39QAP
(a)
To determine
The loss in mass of Sun in creating energy.
(b)
To determine
The fraction of the Sun’s total mass that is converted into energy.
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Chapter 11 Solutions
Understanding Our Universe
Ch. 11.1 - Prob. 11.1CYUCh. 11.2 - Prob. 11.2CYUCh. 11.3 - Prob. 11.3CYUCh. 11.4 - Prob. 11.4CYUCh. 11 - Prob. 1QAPCh. 11 - Prob. 2QAPCh. 11 - Prob. 3QAPCh. 11 - Prob. 4QAPCh. 11 - Prob. 5QAPCh. 11 - Prob. 6QAP
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- Problem 1. Mass-Energy conversion in the Sun (Palen, et. al. 3rd Edition, Chapter 11, problems 38, 39) The Sun produces energy by converting mass m into energy E according to E = mc2 where c is the speed of light (c = 300,000 km/sec). Show that if the Sun produces 3.85 × 1026 joules (J) of energy per second, it must convert 4.3 billion kg of mass per second into energy. Note that 1 J/s is a watt (W), which may be more familiar to you. How much mass has the Sun lost over its lifetime (4.5 billion years)? The current mass of the Sun is 2 × 1030. What fraction of this mass has been converted into energy during the Sun’s lifetime?arrow_forwardOn Dec 5, 2022, scientific history was made at the Lawrence Livermore National Laboratory (LLNL) in Livermore, California when nuclear fusion was achieved when the 192 lasers deposited about 2 Megajoules (MJ) of energy into a frozen pea sized deuterium-tritium pellet and ignited the pellet through nuclear fusion to release 3 MJ of energy. The metric prefix mega means million (10^6). a) How much mass (kg) would be required to release 1 MJ of energy?arrow_forwardA star has an element in its atmosphere that normally emits a line of frequency fs = 7.5 x 10^14 vib/s. If astronomers measure the frequency of this line to be fo = 7.7 x 10^14 vib/s, then how fast are the Earth and this star traveling relative to each other? Remember that the correct equation for the speed v is given by v = [(fo^2 - fs^2) / (fo^2 + fs^2)] c Remember fo^2 means "fo squared."arrow_forward
- Einstein's mass-energy equation is E=mc 2 , where mass is in kilograms and the speed of light is 3.00×108m/s. The unit of energy is the joule (4.184J=1cal;1000cal=1kcal,1J=1kg⋅m2/s2). 1) Calculate the energy released, in calories, when 1 g of matter is converted to energy, then calculate the energy released, in kilocalories, when 1 g of matter is converted to energy. 2)arrow_forwardIn fact, the conversion of mass to energy in the Sun is not 100% efficient. As we have seen in the text, the conversion of four hydrogen atoms to one helium atom results in the conversion of about 0.02862 times the mass of a proton to energy. How much energy in joules does one such reaction produce? (See Appendix E for the mass of the hydrogen atom, which, for all practical purposes, is the mass of a proton.)arrow_forwardSince 1995, hundreds of extrasolar planets have been discovered. There is the exciting possibility that there is life on one or more of these planets. To support life similar to that on the Earth, the planet must have liquid water. For an Earth-like planet orbiting a star like the Sun, this requirement means that the planet must be within a habitable zone of 0.9 AU to 1.4 AU from the star. The semimajor axis of an extrasolar planet is inferred from its period. What range in periods corresponds to the habitable zone for an Earth-like Planet orbiting a Sun-like star?arrow_forward
- The sun produces 3.8 x 10^26 joules of energy every second. How much mass (kg) is being converted to energy every second in the nuclear fusion reactions in the sun?arrow_forwardThe mass of the Sun is 2.0x10^30 kg The thermal energy of the Sun is approximately 2x10^41 joules because thermal energy contributes to the mass of the Sun. Express the answer in percentagearrow_forwardAssume that the core of the Sun has one-eighth of the Sun’s mass and is compressed within a sphere whose radius is one-fourth of the solar radius.Assume further that the composition of the core is 35% hydrogen by mass and that essentially all the Sun’s energy is generated there. If the Sun continues to burn hydrogen at the current rate of 6.2 *1011 kg/s, how long will it be before the hydrogen is entirely consumed? The Sun’s mass is 2.0 * 1030 kg.arrow_forward
- 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?arrow_forwardPart c please. Helpful information: the sun loses 1.3 x 10 ^ 17 kg per year, this is 6.7 x 10 ^12 % of the sun’s total mass.arrow_forwardI'm having trouble completing the problem I've attached a picture of below. I was able to find the the Earth's average speed in m/s relative to the sun by doing (2pi*(1.49x10^11))/31536000. But I am struggling to find the average velocity for the same thing over a period of one year in m/s. I was wondering how to calculate that? I've tried doing the (final velocity-initial velocity)/2 but the program doesn't accept my answer when using that approach.arrow_forward
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