The Mass of the Sun is 1.989 × 10^30 kg. The speed of light is 3 x 10^8 m/s. Assuming the Sun is 75% hydrogen, how much Energy could be produced if all of the hydrogen is converted into energy? Use Einstein's famous equation E = mc^2 where E will be in Joules.

Respuesta :

Answer:

[tex]E = 13.428 \times 10^{46} J[/tex]

Explanation:

Mass of the Sun = [tex]1.989 \times 10^{30} Kg[/tex]

Amount of Hydrogen = 75% of Mass of Sun,

thus mass of Hydrogen (m) in the Sun is,

[tex]m = 1.989 \times 10^{30} \times \frac{75}{100}[/tex]

m = [tex]1.492 \times 10^{30}[/tex]

Speed of Light (c) = [tex]3 \times 10^{8} m/s[/tex]

Thus, energy(E) produced if whole of hydrogen is converted into energy,

E = mc²

[tex]E = 1.492 \times 10^{30} \times (3 \times 10^{8} )^{2}[/tex]

[tex]E = 1.492 \times 9 \times 10^{46}[/tex]

[tex]E = 13.428 \times 10^{46} J[/tex]