When the plutonium bomb was tested in New Mexico in 1945, approximately 1 gram of matter was converted into energy. Suppose another bomb is tested, and 5.9 grams of matter are converted into energy. How many joules of energy are released by the explosion? Answer must be in J

The energy released is 5.31 10¹⁴ J

Explanation:

Einstein found an expression to relate the changes of energy matter that is

ΔE = Δm C²

This energy is called energize rest, in case of matter in motion the term of kinetic energy must be added

We can use this equation to find the transformation of the matter in energy

ΔE = 5.9 10⁻³ (3 10⁸) ²

ΔE = 5.31 10¹⁴ (Kg m² / s²)

ΔE = 5.31 10¹⁴ J

The energy released is 5.31 10¹⁴ J