Universe
Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 16, Problem 8Q

(a)

To determine

The amount of energy released, if a carbon atom with mass 2×1026 kg is converted entirely into its equivalent energy.

(b)

To determine

The amount of energy released, if mass of 1 kg is converted entirely into its equivalent energy.

(c)

To determine

The amount of energy released, if a planet of mass 6×1024 kg is converted entirely into its equivalent energy.

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The sun produces energy by nuclear fusion reactions, in which matter is converted into energy. By measuring the amount of energy we receive from the sun, we know that it is producing energy at a rate of 3.8 x 1026 W. (a) How many kilograms of matter does the sun lose each second? Approximately how many tons of matter is this (1 ton = 2000 lb)? (b) At this rate, how long would it take the sun to use up all its mass?
A 4.6 kg rocket is launched directly upward from Earth at 9.00 km/s (rE = 6.38 x 10^ 6m, mE = 5.98 x 10^24 kg, G =6.67 x 10^-11N. m2 /kg2)a) What altitude above Earth's surface does the rocket reach?  b) What is the binding energy at that altitude?
A chain of nuclear reactions in the Sun's core converts four protons into a helium nucleus. (Use 1.67262 ✕ 10−27 kg for the mass of a proton and 6.64466 ✕ 10−27 kg for that of a helium nucleus.) (a) What is the mass difference (in kg) between four protons and a helium nucleus?  kg (b) How much energy in MeV is released during the conversion of four protons into a helium nucleus?  MeV
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