a. The kilograms of mass that are converted to energy in the explosion is 1.1 × 10^27kg.
b. The ratio of mass destroyed to the original mass of the star is 5.55 × 10^-5.
It should be noted that the total energy is calculated as:
E = Ymc²
where m = mass
c = speed
y = relativistic factor
This will be illustrated as:
1 × 10^44J = 1 × 3.00 × 10^8 m/s
m = 1.11 × 20^27 kg
The mass is 1.1 × 10^27kg.
The ratio of mass destroyed to the original mass of the star will be:
= mass destroyed / original mass
= (1.1 × 10^27) / (2.0 × 10^31)
= 5.55 × 10^-5
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