# Fusion and Einstein

**1. The problem statement, all variables and given/known data**

The energy output of an average person is about 121 Watts. Suppose the average human has a mass of 80 kg and it could run on fusion power by converting only .7% of its mass into energy.

1) how much energy would be available to the body through fusion?

2) How long could the body operate on fusion power (in years)?

**2. Relevant equations**

E=mc^{2}

**3. The attempt at a solution**

Question involves 1)…i completed the problem, but realized that i may have made an error. in the first step i multiplied 80kg by .007 or .7% to get a value of .56 kg that could be used in fusion. I then plugged that into E=mc^2 and calculated a value of 5.04×10^16 J. Now does anyone think that for one i am instead being asked to calculate what energy is available if the average human could use its whole weight (80Kgs) in fusion? The rest of my work is bellow i would greatly appreciate if someone could give it a once over! thanks pf!

unknown burned = 121W/5.04×10^16J/kg = approx. 2.401×10^-15 kg/s

lifetime=(1.00)(80kg/2.401×10^-15 kg/s) = approx. 3.332×10^16s

answer: 1.06×10^9 years

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