Answer:
Energy released from 1 megaton hydrogen bomb will we equal to the [tex]1.43\times 10^7[/tex] 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
[tex]E=mc^2[/tex]
[tex]E=70kg\times (3\times 10^8 m/s)^2=6.3\times 10^{18} Joules[/tex]
2. Mass of the hydrogen bomb , m'= 1 megaton = 1,000,000,000 kg
Energy obtained by 1 megaton hydrogen bomb = E'
[tex]E'=m'\times c^2[/tex]
[tex]=1000000000 kg\times (3\times 10^8)^2=9\times 10^{25} J[/tex]
Dividing E' by E
[tex]\frac{E'}{E}=\frac{9\times 10^{25} J}{6.3\times 10^{18} Joules}=1.43\times 10^7[/tex]
[tex]E'=E\times 1.43\times 10^7[/tex]
Energy released from 1 megaton hydrogen bomb will we equal to the [tex]1.43\times 10^7[/tex] times of of energy obtained by converting 70.0 kg of person into energy.
