Deriving a Different Energy Equation from Einstein's Work

In summary, the speaker has derived a different equation for the total energy of a particle in motion, using a 2D transformational model. They are unsure if they have made a mistake in their calculations or if using a 2D model was the cause of the discrepancy. They are advised to consult with a professional physicist for further review.
  • #1
samaita
1
0
I have arrived at what appears to be a different equation(from Einstein's original work equation,

W= mc^2(1/sqrt(1 − vt^2/c^2)+1). )
for the total energy of a particle of rest mass m,moving at speed Vt.

My derivation using a universal 2D transformational model is as follows

W = mVt^2/2 +m/3*(2c^2+Vt^2)*sqrt(1-Vt^2/c^2)

which gives the rest energy as 2/3mc^2 and a finite total energy at speed c!

I feel the model used to arrive at this equation is interesting, but i might have tripped up on the maths somewhere or is it the use of a 2D model instead of a 3D model?
 
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  • #2
It is possible that you have made a mistake in your mathematical calculations. It is also possible that using a 2D model instead of a 3D model could have led to an incorrect equation. We would recommend that you consult with a professional physicist to review your calculations and model to make sure that the equation you have derived is correct.
 

1. What is Einstein's work and why is it important?

Einstein's work refers to his theory of relativity, which revolutionized our understanding of space, time, and energy. It is important because it provided a new framework for understanding the universe and has been validated through numerous experiments and observations.

2. How is the energy equation derived from Einstein's work different from the traditional equation?

The traditional energy equation, E=mc², only applies to objects at rest. The energy equation derived from Einstein's work, E=γmc², takes into account the effects of an object's velocity on its energy. The variable γ represents the Lorentz factor, which increases as an object's velocity increases.

3. What are the implications of this new energy equation?

The new energy equation has important implications for high-speed objects, such as particles in a particle accelerator. It also helps to explain phenomena like time dilation and length contraction, which are predicted by the theory of relativity.

4. How was the energy equation derived from Einstein's work?

The energy equation was derived mathematically from Einstein's famous equation, E=mc², using the principles of special relativity. This involved incorporating the variable γ, which accounts for the effects of an object's velocity on its energy.

5. Are there any real-world applications of this new energy equation?

Yes, the energy equation derived from Einstein's work has practical applications in fields such as nuclear physics, astrophysics, and engineering. It is also used in the development of technologies like GPS and particle accelerators.

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