Understanding Our Universe
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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Chapter 11, Problem 38QAP
To determine

The mass required to produce the energy radiated by the Sun.

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A speck of carbon dust may contain as many as 30 billion atoms of carbon, each atom having a mass of 2.00 x 10-23 grams. Suppose the mass of all the atoms in a speck of carbon dust were converted entirely to energy and applied to the kinetic energy of a baseball. How fast would the baseball be moving? (Mass of baseball = 0.145 kg. ) (1 gram = 1 x 103kg)   (KE = ½ mv2) (1 billion = 1 x 109)
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?
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)
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