Question

When an object is fully converted into energy the amount of energy liberated is

3.6×1017 J, what is the mass of the substance?

Answer 1

Mass, m = 4 kg

Step-by-step explanation:

Given the following data;

Energy = 3.6 * 10^17 Joules

We know that the speed of light is equal to 3 * 10⁸ m/s.

To find the mass of the substance;

The theory of special relativity by Albert Einstein gave birth to one of the most famous equation in science.

The equation illustrates, energy equals mass multiplied by the square of the speed of light.

Mathematically, the theory of special relativity is given by the formula;

`E = mc^(2)`

Where;

• E is the energy possessed by a substance.
• m is the mass.
• c is the speed of light.

Substituting into the formula, we have;

`3.6 * 10^(17) = m * 300000000^(2)`

`3.6 * 10^(17) = m * 9*10^(16)`

`m = \frac {3.6 * 10^(17)}{9*10^(16)}`

Mass, m = 4 kg