How much mass is lost through radioactive decay if 1.8 × 1015 J are released?A.0.09 kgB.0.06 kgC.0.002 kgD.0.02 kgSUBMITarrow_backPREVIOUS
Question
How much mass is lost through radioactive decay if 1.8 × 10<sup>15</sup> J are released?
A. 0.09 kg
B. 0.06 kg
C. 0.002 kg
D. 0.02 kg
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Solution
To solve this problem, we can use Einstein's mass-energy equivalence principle, which states that E=mc^2, where E is energy, m is mass, and c is the speed of light.
Given that E = 1.8 × 10^15 J, we need to find m.
First, we need to know the speed of light, c, which is approximately 3 × 10^8 m/s.
Rearranging the equation to solve for m gives us m = E/c^2.
Substituting the given values into the equation gives us m = (1.8 × 10^15 J) / (3 × 10^8 m/s)^2.
Solving this equation gives us m = 0.02 kg.
So, the answer is D. 0.02 kg.
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How much mass is lost through radioactive decay if 1.8 × 1015 J are released?A.0.09 kgB.0.06 kgC.0.002 kgD.0.02 kgSUBMITarrow_backPREVIOUS
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