Concept explainers
The size of the antimatter meteorite and the energy involved in the annihilation process.
Answer to Problem 59P
The size of the antimatter meteorite is
Explanation of Solution
Write the expression for the energy obtained during annihilation.
Here,
Write the expression for the gravitational energy of the Earth.
Here,
Since the Gravitational energy of the Earth will become the energy of annihilation of the matter-antimatter.
Write the expression for the energy during the process.
Substitute
Simplify the above expression for
The volume of the spherical asteroid is
Write the expression for the mass of the antimatter asteroid in terms of the volume.
Here,
Write the expression to compare the energy released by the meteorite to total energy released in all nuclear arsenals.
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Thus, the size of the antimatter meteorite is
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Chapter 3 Solutions
Modern Physics for Scientists and Engineers
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