Mass and Speed in Special Relativity

In summary, the concept of mass in special relativity can vary depending on the convention used. The most commonly accepted convention is that mass is invariant and the term "energy" is used to represent the equation: mc^2/√(1-v^2/c^2). The other convention uses the notation m_0 for "rest mass" and m for "relativistic mass", which makes mass a function of speed. For more information, please refer to the FAQ in the General Physics forum.
  • #1
elec-tric
5
0
is the mass invariant in special relativity or what ?
i'm so confused , is the mass of a body change with the change of the body's speed ?
 
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  • #2
Two different conventions are being used. The one favored by most people today is this one:

Mass is invariant. It's denoted by [itex]m[/itex]. The quantity

[tex]\frac{mc^2}{\sqrt{1-\frac{v^2}{c^2}}}[/tex]

is called "energy". If we have to use a name for the quantity

[tex]\frac{m}{\sqrt{1-\frac{v^2}{c^2}}}[/tex]

we call it "relativistic mass", but we prefer not to use it at all.

The other convention is to use the notation [itex]m_0[/itex] and the term "rest mass" for what I would call "mass", and the notation [itex]m[/itex] for what I would call "relativistic mass". This convention makes "mass" a function of speed:

[tex]m=\frac{m_0}{\sqrt{1-\frac{v^2}{c^2}}}[/tex]
 
  • #3
elec-tric said:
is the mass invariant in special relativity or what ?
i'm so confused , is the mass of a body change with the change of the body's speed ?

Please read an entry in our FAQ in the General Physics forum.

Zz.
 

FAQ: Mass and Speed in Special Relativity

What is the equation for calculating mass in special relativity?

The equation for calculating mass in special relativity is m = m0/sqrt(1-v^2/c^2), where m is the relativistic mass, m0 is the rest mass, v is the speed of the object, and c is the speed of light.

How does mass change with increasing speed in special relativity?

In special relativity, as an object's speed approaches the speed of light, its mass increases infinitely. This means that the object's mass becomes infinite at the speed of light and can never reach or exceed it.

What is the relationship between mass and energy in special relativity?

In special relativity, mass and energy are fundamentally linked through the famous equation E = mc^2. This means that mass can be converted into energy and vice versa, and the amount of energy is directly proportional to the mass of the object.

How does time dilation affect mass and speed in special relativity?

According to special relativity, time slows down for an object as its speed increases. This means that as an object's speed increases, its mass also increases, making it more difficult to accelerate and approach the speed of light. This is known as time dilation.

Can an object with mass ever reach the speed of light in special relativity?

No, according to special relativity, an object with mass can never reach or exceed the speed of light. As an object approaches the speed of light, its mass and energy become infinite, making it impossible to accelerate any further.

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