Chapter 20.2, Problem 6PP

To determine

The amount of energy in 1 kilogram of mass.

Answer to Problem 6PP

The amount of energy in 1 kilogram of mass is calculated to be $9\times {10}^{16 }\mathrm{kg}\cdot m^2\cdot s^{-2}$ .

Explanation of Solution

Given information:

1 kg of mass.

Formula Used:

The amount of energy in any amount of mass is calculated using Energy-Mass Equivalence given by the Einstein which is

  $E=m{c}^2$

Where, E is energy, m is the absolute mass and c is the speed of the light in the given medium.

Calculations:

Substitute the values in above equation:

  $\begin{array}{c}$ E=1\mathrm{kg}\times {(3\times {10}^8)}^2{\mathrm{m}}^2/s^2$=9\times {10}^{16 }\mathrm{kg}\cdot m^2/s^2\end{array}$

Conclusion: The required amount of the energy is $9\times {10}^{16 }\mathrm{kg}\cdot m^2/s^2$ .