Given that the speed of light is 3.00 × 108 m/s, how much energy is produced by the conversion of 1.00 kg of mass into energy?Multiple choice question.9.00 × 1016 J9.00 × 108 J3.00 × 1016 J3.00 × 108 J
Question
Given that the speed of light is 3.00 × 108 m/s, how much energy is produced by the conversion of 1.00 kg of mass into energy?Multiple choice question.9.00 × 1016 J9.00 × 108 J3.00 × 1016 J3.00 × 108 J
Solution
The energy produced by the conversion of mass into energy is given by Einstein's equation, E=mc^2, where E is the energy, m is the mass, and c is the speed of light.
Step 1: Identify the given values. The mass (m) is given as 1.00 kg and the speed of light (c) is given as 3.00 × 10^8 m/s.
Step 2: Substitute the given values into the equation. E = (1.00 kg) * (3.00 × 10^8 m/s)^2
Step 3: Calculate the energy (E). E = 1.00 kg * (9.00 × 10^16 m^2/s^2) E = 9.00 × 10^16 J
So, the energy produced by the conversion of 1.00 kg of mass into energy is 9.00 × 10^16 J.
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