Question

Calculate the amount of energy produced by the conversion of 50.0 kg of mass into energy. Use 3.00 x 108 m/s for the speed of light. Which setup will solve this problem? E = (50.0 kg)(3.00 x 108 m/s) E = (50.0 kg)(3.00 x 108 m/s)2 E = (50.0 kg)(3.00)(1 x 108 m/s)2 The amount of energy released when 50.0 kg is converted into energy is x 10A.

Answer 1

Answer: Option (b) is the correct answer.

Explanation:

According to Albert Einstein, mass energy equivalence states that any object or substance which has mass will also have an equivalent amount of energy.

Mathematically, the relation is as follows.

                       $E = mc^{2}$

where,       E = energy

                 m = mass

                 c = speed of light

It is given that mass is 50.0 kg and speed of light is $3 \times 10^{8} m/s$. Therefore, calculate the energy as follows.

                          $E = mc^{2}$

                                    = $50.0 kg \times (3 \times 10^{8}m/s)^{2}$

                                    = $45 \times 10^{9} kg m^{2}/s^{2}$

Thus, we can conclude that the amount of energy released when 50.0 kg is converted into energy is $45 \times 10^{9} kg m^{2}/s^{2}$.

Answer 2

Explanation :

In this case, we have to find the amount of energy produced by the conversion of 50 kg mass into energy.

We know that mass can be converted to energy by using Einstein mass energy equivalence equation.

Mathematically, it can be written as :

$E=mc^2$

Where,

m is the mass

and c is the speed of light

So, $E=(50\ kg)(3\times 10^8\ m/s)^2$

$E=4.5\times 10^{18}$

Hence, the correct option is (B).

The amount of energy released when 50.0 kg is converted into energy is $E=4.5\times 10^{18}$