A particular task requires 3.46 J of energy. Using E = mc2, how much mass is needed to accomplish this task?

3.11 10^{17} kg

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3.84 10^{-17} kg

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1.15 10^{8} kg

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3.46 10^{8} kg

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Solution

The correct option is B 3.84 10^{-17} kg
According to Einstein's mass-energy equivalence theory, $E = m c^{2}$
where $E$ is the energy, $m$ be the mass and $c = 3 \times 10^{8} m / s$ be the velocity of light.
Given: $E = 3.46 J$
Now, mass $m = E / c^{2} = 3.46 / (3 \times 10^{8})^{2} = 3.84 \times 10^{- 17}$ kg

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