Question

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.

Answer 1

Answer:

$E = 13.428 \times 10^{46} J$

Explanation:

Mass of the Sun = $1.989 \times 10^{30} Kg$

Amount of Hydrogen = 75% of Mass of Sun,

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

$m = 1.989 \times 10^{30} \times \frac{75}{100}$

m = $1.492 \times 10^{30}$

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

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

E = mc²

$E = 1.492 \times 10^{30} \times (3 \times 10^{8} )^{2}$

$E = 1.492 \times 9 \times 10^{46}$

$E = 13.428 \times 10^{46} J$