Differentiate between the two masses in equation for relativistic mass

[answerseeker]

how to differentiate between the two masses in equation for relativistic mass?
m= mo/sqroot 1-v^2/c^2 what's the difference between m and mo?

and what about for energy: eo and e?

 

[theCandyman]

The mass of the object at rest is $$m_0$$ ("m not", the zero usually signifies initial state). The other $$m$$ is the mass at the velocity you are traveling.

 

[sir-pinski]

The two masses in the equation for relativistic mass are denoted as m and mo. The "m" represents the relativistic mass, which takes into account the effects of special relativity, such as time dilation and length contraction, on the mass of an object moving at a high velocity. The "mo" represents the rest mass, which is the mass of an object at rest and does not change with velocity.

To differentiate between the two masses, one must understand that the relativistic mass is a variable and can change with velocity, while the rest mass is a constant and does not change. The equation for relativistic mass takes into account the velocity of the object, as seen in the denominator where v represents the velocity and c represents the speed of light. This means that as the velocity of the object increases, the relativistic mass also increases, approaching infinity as the velocity approaches the speed of light.

In contrast, the rest mass, mo, is a fixed value for a specific object and does not change with velocity. This is because the rest mass is a fundamental property of an object and is independent of its motion.

For energy, the same concept applies. The "e" in the equation represents the relativistic energy, which takes into account the effects of special relativity on the energy of an object. The "eo" represents the rest energy, which is the energy an object possesses at rest and does not change with velocity.

In summary, the main difference between the two masses and energies in the equation for relativistic mass is that one takes into account the effects of special relativity and changes with velocity, while the other is a constant value that is independent of motion.