Equation for Mass Moving Near Speed of Light: What Is It?

[DeepSpace9]

That calculates how mass a behaves as it nears the speed of light?

Let me rephrase, if we put a speed of light engine inside a school bus. At what speed would the bus top out at? Is there a certain speed that a weight can go? Or can't go faster than?

If so what is an equation that can explain this.

 

[Drakkith]

There is no such thing as a "speed of light engine". If something has mass, it cannot reach the speed of light.
Any amount of mass can be accelerated up to any arbitrary velocity, as long as it remains below c. The more massive the object is, the more energy it takes to do so however.

http://en.wikipedia.org/wiki/Kinetic_energy#Relativistic_kinetic_energy_of_rigid_bodies

 

[Naty1]

..how mass a behaves as it nears the speed of light?

as an added note, the mass experience no change in behavior in its own frame; in other words, it rest mass remains fixed. In addition, the proper time of the mass ticks off at it's same fixed, steady, unchanging rate...

The bus will approach the speed of light asymptotically, never quite reaching reaching c, no matter how much energy is expended.

 

[Khashishi]

Yes, there are equations for all this, and these are very well known and tested in the field of special relativity.
You might want to start with
http://en.wikipedia.org/wiki/Special_relativity
http://en.wikipedia.org/wiki/Lorentz_factor
http://en.wikipedia.org/wiki/Lorentz_transformation

 

[pmacias]

The equation that describes the behavior of mass as it approaches the speed of light is known as the Lorentz factor, which is denoted by the symbol γ (gamma). It is given by the formula γ = 1/√(1-v²/c²), where v is the velocity of the object and c is the speed of light. This equation shows that as an object's velocity approaches the speed of light, its mass increases significantly and its energy also increases. This phenomenon is known as relativistic mass increase and is a key concept in Einstein's theory of relativity.

As for the school bus example, the Lorentz factor can be used to calculate the maximum speed that the bus can reach with a speed of light engine. The equation would be γ = 1/√(1-v²/c²) = 1/√(1-(c/c)²) = 1/√(1-1) = 1/√0 = undefined. This shows that the Lorentz factor becomes infinite when an object reaches the speed of light, which means that it would require an infinite amount of energy to accelerate an object with mass to the speed of light. This is why it is impossible for any object with mass to travel at the speed of light.

In terms of a weight, there is no specific speed limit for it to reach as it depends on the object's mass and the amount of energy being applied to it. However, as the object's velocity increases, its mass also increases, making it more difficult to accelerate further. This is why it becomes increasingly challenging to accelerate an object as it approaches the speed of light.

In conclusion, the Lorentz factor is an essential equation in understanding the behavior of mass as it nears the speed of light. It shows that the speed of light is a fundamental limit that cannot be surpassed by any object with mass.