Question

# Choose the best answer to below of the following. Explain your reasoning with one or more complete sentences. What does the famous formula E=$\ mc^{2}$ have to do with special relativity? (a) Nothing; it comes from a different theory. (b) It is one of the two starting assumptions of special relativity. (c) It is a direct consequence of the theory.

Solution

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In this example, we will test our understanding a bit more. Pay close attention.

This theory proposes various phenomena to occur under certain circumstances. It also says that motion, speed, and time are all relative.

But two things it suggests to be absolute, invariant are the speed of light and the laws of nature. Two postulates of this theory.

These things can help us to answer our question correctly.

The formula that connects the relativistic mass $m$ of the object that moves with the speed near the speed of light, with the energy $E$ it possesses is

\begin{aligned} E=m\cdot c^2 \end{aligned}

where $c$ is the speed of light (in vacuum).

Prior to this theory, mass, and energy were considered as two different properties, but in this theory, as we can see, they are interchangeable.

Now, let's try to answer our question.