2. In a nuclear reactor, 0.20 kilogram of uranium-235 and 0.50 kilogram of plutonium-239 are completely converted to energy. How many joules of energy are produced?

Inquiry into Physics
8th Edition
ISBN:9781337515863
Author:Ostdiek
Publisher:Ostdiek
Chapter12: Relativity, Particle Physics, And Cosmology
Section: Chapter Questions
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Chap
and Gravity
Conversion of Mass to Energy
converted to energy. How many joules (J) of energy are produced?
In a nuclear reactor, 0.15 kilogram (kg) of uranium-235 is completely
1. Read and Understand
What information are you given?
Mass = m = 0.15 kg
Speed of light = c = 300,000,000 m/s = 3 × 108 m/s
2. Plan and Solve
What unknown are you trying to calculate?
The amount of energy produced = E = ?
What formula contains the given quantities and the unknown?
E = mc2
Replace each variable with its known variable and known value.
E = (0.15 kg)(3.00 × 108 m/s)²
E = 1.35 x 10¹6 kg-m²/s² = 1.4 x 1016 J
3. Look Back and Check
Is your answer reasonable?
Yes, the calculated number is quite large compared to the mass, and the units
indicate energy.
2. In a nuclear reactor, 0.20 kilogram of uranium-235 and 0.50 kilogram of
plutonium-239 are completely converted to energy. How many joules of
energy are produced?
Transcribed Image Text:Chap and Gravity Conversion of Mass to Energy converted to energy. How many joules (J) of energy are produced? In a nuclear reactor, 0.15 kilogram (kg) of uranium-235 is completely 1. Read and Understand What information are you given? Mass = m = 0.15 kg Speed of light = c = 300,000,000 m/s = 3 × 108 m/s 2. Plan and Solve What unknown are you trying to calculate? The amount of energy produced = E = ? What formula contains the given quantities and the unknown? E = mc2 Replace each variable with its known variable and known value. E = (0.15 kg)(3.00 × 108 m/s)² E = 1.35 x 10¹6 kg-m²/s² = 1.4 x 1016 J 3. Look Back and Check Is your answer reasonable? Yes, the calculated number is quite large compared to the mass, and the units indicate energy. 2. In a nuclear reactor, 0.20 kilogram of uranium-235 and 0.50 kilogram of plutonium-239 are completely converted to energy. How many joules of energy are produced?
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