Answer:
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
The energy available through fusion is 3.15 x 10¹⁶ J.
The time to operate the fusion power is 3.15 x 10¹⁴ years.
The energy available through fusion is calculated by using Einstein equation.
E = mc²
where;
The available energy is calculated as follows;
E = 0.007 x 50 x (3 x 10⁸ )²
E = 3.15 x 10¹⁶ J
Time to operate the fusion power is calculated as follows;
[tex]t = \frac{E}{P} = \frac{3.15 \times 10^{16}}{100} = 3.15 \times 10^{14} \ years[/tex]
Learn more about fusion energy here: https://brainly.com/question/25664930
