Your Energy Content. The power needed to operate your body is about 100 watts. Suppose your body could run on fusion power and could convert 0.7% of its mass into energy. How much energy would be available through fusion? For how long could your body then operate on fusion power?

a. 3.78 x 10^16 Joules

b. 12 million years of energy

Explanation:

Your Energy Content. The power needed to operate your body is about 100 watts. Suppose your body could run on fusion power and could convert 0.7% of its mass into energy. How much energy would be available through fusion? For how long could your body then operate on fusion power?

0.7% of the mass will be, assuming the mass of the body is 60kg

0.7/100*60kg=0.42kg

from the law of relativity

E=mc^2

c=the speed of light = 3 x 10^8 m/sec

0.42kg x (3 x 10^8 m/sec) ^2 = 3.78 x 10^16 Joules

power is the rate of doing work

since when you work, you expend energy

Power = 100 Watts = 100 Joules/sec = Energy/time

b. time = 3.78 x 10^16 / (100) = 3.78 x 10^14 sec

Now 1 day = 86400 sec, to find the number of days, we convert seconds to day

3.78 x 10^14 sec / (86400 sec/day) =

4.375 x 10^9 days =

365 days make 1 year, therefore

1.2 x 10^7 years!

12 million years of energy