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If 3.0 kilograms of gasoline were burned in a car engine, they would yield 140,000,000 joules, which is a tremendous amount of energy. However, burning the gasoline only produces a chemical change. Convert those 3.0 kilograms of gasoline completely into energy, using Einstein's equation. (1 J = 1 kg m2/s2)
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e = mc^2
Correct. You are going to see that 140,000,000 is not that much after all compared to the total energy. Evaluate the following expression and you are good to go. \[E=3.0 ~ kg \times \left( 299,792,458 ~ \frac{ m }{ s } \right)^{2}\] Notice that the units is correct for joule.
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