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 produces energy at a rate of 4.00 x 1026 W by the fusion of hydrogen. How many kilograms of mass is the Sun losing per second?
The age of the sun has been estimated at 4.6 billion years. If it has radiatedenergy at the same rate throughout its lifetime, 3.8×1026 W and if its current mass is1.989×1030 kg, what fraction of its original mass has been lost? _____ %
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?
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_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_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_forward
- What is for a proton having amass energy of 938.3 MeV accelerated through an effective potential of 1.0 TV (teravolt)?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_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
- How 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_forwardSuppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 65.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 2.70 mm away from the Earth? The density of water is ρwater=1.00kg/liter, the Earth's mass is Mearth=5.97×10^24 kg, the Moon's mass is Mmoon=7.36×10^22 kg, and the separation of the Earth and Moon is dE,M=3.84×10^8 m.arrow_forwardWhat is the rest energy of an electron, given its mass is 9.11×10−31 kg ? Give your answer in joules and MeV.arrow_forward
- Find the kinetic energy of the objects in the scenarios. A. A cosmic pion of mass 140 MeV/?2 flies through outer space at a speed of 9.47×103 km/s . See the hint for help converting MeV/?2 to kg. ?= J B. A cheetah weighing 4.10×102 N chases a gazelle at a speed of 33.7 m/s . ?= J C. A truck weighing 2.64 short tons speeds down the road at 75.6 mph . ?= J D. An asteroid of mass 2.71×1017 kg buzzes the Earth at a speed of 10300 mph . ?=arrow_forwardHow much mass is required to produce 1.6 x 10^14 J of energy?arrow_forwardThe half‑life of a certain subatomic particle at rest is about 1.00×10−8 s. With what speed V is a beam of these particles moving if one‑half of them decay in 6.00×10−8 s as measured in the laboratory?arrow_forward
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