Answer:
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Step-by-step explanation:
To determine the amount of matter that was converted into energy in a nuclear bomb, you would need to know the mass of the matter that was converted and the speed of light in a vacuum, c.
The relationship between the amount of energy released, E, the mass of the matter, m, and the speed of light is given by the equation E = mc², where c is the speed of light.
Therefore, to find the mass of the matter that was converted into energy, you can rearrange this equation to solve for m:
m = E/c²
Plugging in the values given in the problem, we get:
m = (6.5 x 10^12 J)/(3 x 10^8 m/s)²
= (6.5 x 10^12 J)/(9 x 10^16 m²/s²)
= (6.5 x 10^12 J)/(9 x 10^16 m²/s²)
= 7.22 x 10^-5 kg
This is the minimum amount of mass that was converted into energy in the nuclear bomb.
I hope this helps! Let me know if you have any other questions.