Chapter 26, Problem 17Q

To determine

Whether the equation $E=m{c}^2$ conflict with the principle of conservation of energy.

Answer to Problem 17Q

Solution:

No

Explanation of Solution

As per the law of conservation of energy, the total energy of the system does not change. The energy may exist in different forms. When energy is converted to mass, then as per equation $E=m{c}^2$ , the mass has equivalent energy to that it was converted from.

  $E=m{c}^2$

Here, E is the energy, m is the mass and c is the speed of light.

The energy equivalent of the mass remains conserved.

Conclusion:

Therefore, the equation $E=m{c}^2$ does not conflict with the principle of conservation of energy.