http://grephysics.net/ans/9277/94
If gamma = 5/4, then beta does not equal 3/4. How is C the answer? When gamma = 5/4, then beta should be 3/5, NOT 3/4. So I thought the answer was E... Has anyone run into this before? Maybe I'm an idiot, though
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9277 #94
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Re: 9277 #94
Remember that the gamma applies distributively in a Lorentz transform, like this:
x' = gamma(x - vt)
t' = gamma(t - vx/c^2)
So you're right that beta = 3/5, but the coeffcient of t (in x') and the coefficient of x (in t') is not beta, but rather beta multiplied by gamma, ie 3/5 x 5/4 = 3/4.
I think that's it.
x' = gamma(x - vt)
t' = gamma(t - vx/c^2)
So you're right that beta = 3/5, but the coeffcient of t (in x') and the coefficient of x (in t') is not beta, but rather beta multiplied by gamma, ie 3/5 x 5/4 = 3/4.
I think that's it.