Deriving equations on Einstein's 4th paper

Xeniebop · Jun 19, 2007

Homework Statement

I need to derive some equation that are on the paper "does the inertia of a body depend on it's energy content". http://www.fourmilab.ch/etexts/einstein/E_mc2/www/" I just don't know where to start and if someone can point me to the right direction, it will be so much help.

The first is,

Equation: l* = l (1 - (v/c) cos φ) / sqrt(1 - v^2/c^2), a relativistic length transformation with l* on the left and l on the right.

I know that this was derived using the theory of relativity but I don't know where to start and transformations to use.

The second is,

Equations in a handwritten-style derivation: E0 = E1 + L/2 + L/2; H0 = H1 + (L/2)(1 - (v/c)cos phi)/sqrt(1 - v^2/c^2) + (L/2)(1 + (v/c)cos phi)/sqrt(1 - v^2/c^2); H0 = H1 + L/sqrt(1 - v^2/c^2).

The emission of waves of light and other stuffs just confuses me more, and is these just using the above relationship?

Thank you very much.

Dick · Jun 19, 2007

You can find the details of derivation of formulas like that under the heading of 'relativistic doppler effect'.

Deriving equations on Einstein's 4th paper

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