Why the pythagoras theorem is used in the second equation?

  • Thread starter Atran
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In summary, the most accurate way to determine which equation is right is by conducting experiments and gathering data. If the equation does not fit the observed data or leads to nonsensical results, it can be considered incorrect. Different equations can lead to similar results, but it is important to carefully examine their assumptions and limitations before using them in a study. Equations may not always be the best way to represent scientific concepts, and other methods such as graphical representations or descriptive explanations may be more effective.
  • #1
Atran
93
1
Hi,

I know that,

E1 = E0 + EK, and
E2 = (mc2)2 + (pc)2 = E02 + EK2, but
E0 + EK ≠ (E02 + EK2)1/2

Is one of them wrong?
Why the pythagoras theorem is used in the second equation?

Thanks.
 
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  • #2
Atran said:
Hi,

I know that,

E = E0 + EK, and
E2 = (mc2)2 + (pc)2
Correct

Atran said:
... = E02 + EK2
Incorrect

E2 = E02 + 2 E0EK + EK2
 

FAQ: Why the pythagoras theorem is used in the second equation?

How do you determine which equation is right?

The most accurate way to determine which equation is right is by conducting experiments and gathering data. Once the data is collected, it can be analyzed using statistical methods to determine which equation best fits the observed outcomes.

Is there a way to know if an equation is incorrect?

Yes, if the equation does not fit the observed data or if it leads to nonsensical or impossible results, then it can be considered incorrect. It is important to always check the validity of an equation before using it in a scientific study.

Can different equations lead to the same results?

Yes, in some cases, different equations may lead to similar or even identical results. This is known as mathematical equivalence and can occur when two equations are algebraically equivalent or when one equation is an approximation of the other.

How can I tell if an equation is applicable to my study?

The best way to determine if an equation is applicable to your study is to carefully examine its assumptions and limitations. Make sure that the equation is appropriate for the variables and conditions in your study, and consider consulting with a subject matter expert to confirm its validity.

Are equations always the best way to represent scientific concepts?

Not necessarily. While equations are a powerful tool in science, they may not always be the best way to represent a concept. In some cases, graphical representations or descriptive explanations may be more appropriate. It is important to choose the most effective method of communication for your intended audience.

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