Question

Suppose that all the mass in your body were suddenly converted into energy according to the formula E=mc2. How much energy would be released? (Assume that your mass is about 70.0 kilograms) Compare this to the energy released by a 1 megaton hydrogen bomb.

Answer 1

Answer:

Energy released from 1 megaton hydrogen bomb will we equal to the $1.43\times 10^7$ times of of energy obtained by converting 70.0 kg of person into energy.

Explanation:

1. Mass of a body = 70 kg

Energy obtained by converting 70 kilograms into energy = E

$E=mc^2$

$E=70kg\times (3\times 10^8 m/s)^2=6.3\times 10^{18} Joules$

2. Mass of the hydrogen bomb , m'= 1 megaton = 1,000,000,000  kg

Energy obtained by 1 megaton hydrogen bomb = E'

$E'=m'\times c^2$

$=1000000000 kg\times (3\times 10^8)^2=9\times 10^{25} J$

Dividing E' by E

$\frac{E'}{E}=\frac{9\times 10^{25} J}{6.3\times 10^{18} Joules}=1.43\times 10^7$

$E'=E\times 1.43\times 10^7$

Energy released from 1 megaton hydrogen bomb will we equal to the $1.43\times 10^7$ times of of energy obtained by converting 70.0 kg of person into energy.