To find the amount of energy produced by the conversion of 1.00 kg of mass into energy, multiply 1.00 kg by the speed of in a squared.
Question
To find the amount of energy produced by the conversion of 1.00 kg of mass into energy, multiply 1.00 kg by the speed of in a squared.
Solution
To calculate the amount of energy produced by the conversion of 1.00 kg of mass into energy, you need to use Einstein's mass-energy equivalence principle, which is expressed in the formula E=mc^2.
Here's the step-by-step process:
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Identify the mass (m) to be converted into energy. In this case, m = 1.00 kg.
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Identify the speed of light (c), which is approximately 3.00 x 10^8 meters per second.
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Square the speed of light (c^2). (3.00 x 10^8 m/s)^2 = 9.00 x 10^16 m^2/s^2.
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Multiply the mass (m) by the square of the speed of light (c^2) to find the energy (E). E = mc^2 = 1.00 kg * 9.00 x 10^16 m^2/s^2 = 9.00 x 10^16 Joules.
So, the amount of energy produced by the conversion of 1.00 kg of mass into energy is 9.00 x 10^16 Joules.
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