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What is the relationship between the equation E^2  p^2c^2 = m^2c^4 
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#1
Feb1312, 11:04 PM

P: 3

What is the relationship between the equation E^2  p^2c^2 = m^2c^4 and E = mc^2?



#2
Feb1312, 11:15 PM

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#3
Feb1312, 11:25 PM

P: 3

I understand that thank you but I was wondering how you derived that formula using definitions like e=mc^2γ and p^t=mcγ and p^x=mvγ...this is on our physics midterm tomorrow and my friends and I don't understand how to use these definitions to derive the equation



#4
Feb1312, 11:35 PM

P: 260

What is the relationship between the equation E^2  p^2c^2 = m^2c^4
E^{2}=m^{2}c^{4}/(1v^{2}/c^{2}) Simplify: E^{2}E^{2}v^{2}/c^{2}=m^{2}c^{4} Replace (Ev)^{2} with (pc^{2})^{2}: E^{2}p^{2}c^{2}=m^{2}c^{4} To get the equation Ev=pc^{2}: E=γmc^{2} p=γmv Eliminate γ & m: Ev=pc^2 **This seems like unnecessary algebra. I don't see why you'd have to derive the above equations from other energy/momentum equations. You should also learn about fourvectors, because the first equation actually comes from the magnitude of the fourmomentum. 


#5
Feb1312, 11:44 PM

P: 3

Ohh thank you so much!!! ^____^



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