The amount of energy contained in the mass of a 60 kilogram person is 5.4 × 10¹⁸ J
To find the energy in a mass, we use the mass-energy equation.
What is the mass-energy equation?
The mass-energy equation is the equation that shows the relationship between mass and energy.
The mass-energy is given by E = mc² where
- m = mass of object and
- c = speed of light = 3 × 10⁸ m/s
Given that the mass of the person is 60 kg, m = 60 kg.
So, substituting the values of the variables into the equation, we have
E = mc²
= 60 kg × (3 × 10⁸ m/s)²
= 60 kg × 9 × 10¹⁶ m²/s²
= 540 × 10¹⁶ kgm²/s²
= 5.40 × 10¹⁸ kgm²/s²
= 5.4 × 10¹⁸ J
So, the amount of energy contained in the mass of a 60 kilogram person is 5.4 × 10¹⁸ J
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