Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 43, Problem 37P
To determine
To calculate:
(a) the rate which the Sun’s mass is changing because it is radiating energy.
(b) the fraction of original mass the Sun has lost this way (as in (a)) since it began to burn hydrogen about 4.5 x 109 y ago.
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The Sun's mass is1.989 ×10^8 and it radiates at a rate of 3.827×10^23 kW.
a) From this data, assuming it converts all its mass into energy, what is the estimate the lifetime of the Sun?
b) Theoretical calculations predict the Sun's lifetime (in its current stage) to be about 5 billion years. During that time, what percentage of its mass will it lose?
The Sun produces energy at a rate of 4.00×1026 W by the fusion of hydrogen. (a) How many kilograms of hydrogen undergo fusion each second? (b) If the Sun is 90.0% hydrogen and half of this can undergo fusion before the Sunchanges character, how long could it produce energy at its current rate? (c) How many kilograms of mass is the Sun losing per second? (d) What fraction of its mass will it have lost in the time found in part (b)?
The sun radiates energy at a rate of 3.9 x 1026 W. (a) At what rate is the sun losing mass? (b) At that rate, how much time would it take to exhaust the sun’s fuel supply? The sun’s mass is 2.0 x 1030 kg, and you may assume that the reaction producing the energy is about 0.7% effi cient. Compare your answer with the sun’s expected remaining lifetime, about 5 Gy.
Chapter 43 Solutions
Fundamentals of Physics Extended
Ch. 43 - Prob. 1QCh. 43 - Prob. 2QCh. 43 - Prob. 3QCh. 43 - Prob. 4QCh. 43 - Prob. 5QCh. 43 - Prob. 6QCh. 43 - Prob. 7QCh. 43 - Which of these elements is not cooked up by...Ch. 43 - Prob. 9QCh. 43 - Prob. 10Q
Ch. 43 - Prob. 11QCh. 43 - Prob. 12QCh. 43 - Prob. 1PCh. 43 - Prob. 2PCh. 43 - Prob. 3PCh. 43 - Prob. 4PCh. 43 - Prob. 5PCh. 43 - Prob. 6PCh. 43 - Prob. 7PCh. 43 - Prob. 8PCh. 43 - Prob. 9PCh. 43 - Prob. 10PCh. 43 - Prob. 11PCh. 43 - Prob. 12PCh. 43 - Prob. 13PCh. 43 - Prob. 14PCh. 43 - Prob. 15PCh. 43 - Prob. 16PCh. 43 - Prob. 17PCh. 43 - Prob. 18PCh. 43 - Prob. 19PCh. 43 - Prob. 20PCh. 43 - Prob. 21PCh. 43 - Prob. 22PCh. 43 - Prob. 23PCh. 43 - Prob. 24PCh. 43 - SSM a A neutron of mass mn and kinetic energy K...Ch. 43 - Prob. 26PCh. 43 - Prob. 27PCh. 43 - Prob. 28PCh. 43 - Prob. 29PCh. 43 - Prob. 30PCh. 43 - Prob. 31PCh. 43 - Prob. 32PCh. 43 - Prob. 33PCh. 43 - Prob. 34PCh. 43 - Prob. 35PCh. 43 - Prob. 36PCh. 43 - Prob. 37PCh. 43 - Prob. 38PCh. 43 - Prob. 39PCh. 43 - Prob. 40PCh. 43 - Prob. 41PCh. 43 - Prob. 42PCh. 43 - Prob. 43PCh. 43 - Prob. 44PCh. 43 - Prob. 45PCh. 43 - Prob. 46PCh. 43 - SSM WWW Coal burns according to the reaction...Ch. 43 - Prob. 48PCh. 43 - Prob. 49PCh. 43 - Prob. 50PCh. 43 - Prob. 51PCh. 43 - Prob. 52PCh. 43 - Prob. 53PCh. 43 - Prob. 54PCh. 43 - Prob. 55PCh. 43 - Prob. 56PCh. 43 - Prob. 57PCh. 43 - Prob. 58P
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- Energy reaches the upper atmosphere of the Earth from the Sun at the rate of 1.79 1017 W. If all of this energy were absorbed by the Earth and not re-emitted, how much would the mass of the Earth increase in 1.00 yr?arrow_forwardHow long will the Sun shine, Nellie? The Sun radiates about 4.0 × 1026 J of energy into space each second. (a) How much mass is released as radiation each second? (b) If the mass of the Sun is 2.0 × 1030 kg, how long can the Sun survive if the energy release continues at the present rate?arrow_forwardUsing data from Potential Energy of a System (http://cnx.org/content/m58312/latest/#fs-id1165036086155) , calculate the amount of mass converted to energy by the fusion of 1.00 kg of hydrogen. (b) What is the ratio of mass destroyed to the original mass, (c) How does this compare with for the fission of 1.00 kg of uranium?arrow_forward
- In 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_forward(a) Calculate the energy released by the destruction of 1.00 kg of mass. (b) How many kilograms could be lifted to a 10.0 km height by this amount of energy?arrow_forwardIf the rest energies of a proton and a neutron (the two constituents of nuclei) are 938.3 and 939.6 MeV, what is the difference in their mass in kilograms?arrow_forward
- (a) Using data from Table 7.1, calculate the mass converted to energy by the fission of 1.00 kg of uranium. (b) What is the ratio of mass destroyed to the original mass, m/m ?arrow_forward(a) What is the effective accelerating potential for electrons at the Stanford Linear Accelerator, if =1.00105 for them? (b) What is their total energy (nearly the same as kinetic in this case) in GeV?arrow_forwardA muon formed high in Earth's atmosphere travels toward Earth at a speed v = 0.990c for a distance of 4.60 km as measured by an observer at rest with respect to Earth. It then decays into an electron, a neutrino, and an antineutrino. (a) How long does the muon survive according to an observer at rest on Earth? (b) Compute the gamma factor associated with the muon. (c) How much time passes according to an observer traveling with the muon? (d) What distance does the muon travel according to an observer traveling with the muon? (e) A third observer traveling toward the muon at c/2 measures the lifetime of the particle. According to this observer, is the muons lifetime shorter or longer than the lifetime measured by the observer at rest with respect to Earth? Explain.arrow_forward
- (a) Using data from Table 7.1, calculate the amount of mass converted to energy by the fusion of 1.00 kg of hydrogen. (b) What is the ratio of mass destroyed to the original mass, m/m ? (c) How does this compare with m/m for the fission of 1.00 kg of uranium?arrow_forwardIn a nuclear power plain, the fuel rods last 3 yr before they are replaced. The plant can transform energy at a maximum possible rate of 1.00 GW. Supposing it operates at 80.0% capacity for 3.00 yr, what is the loss of mass of the fuel?arrow_forward37 The Sun has mass 2.0 x 1030 kg and radiates energy at the rate 3.9 x 1026 W. (a) At what rate is its mass changing? (b) What fraction of its original mass has it lost in this way since it began to burn hydrogen, about 4.5 x 10° y ago?arrow_forward
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