Fundamentals of Physics, Volume 1, Chapter 1-20
Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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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.
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