Monday, 14 March 2016

homework and exercises - Time and velocity

She will feel motionless, seeing the other car approach with the combined velocity of the two cars:
$$v_mathrm{tot} = frac{v_mathrm{scriptsize{1}} + v_mathrm{scriptsize{2}}}{1 + v_mathrm{scriptsize{1}} v_mathrm{scriptsize{2}}/c^2} = 0.8c,$$
with all the usual implications of observing something moving at $0.8c^dagger$.




$^dagger$E.g. an epic car crash: The kinetic energy of an oncoming car of 1 ton is equivalent to 2 million Nagasaki bombs.

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