A Paradox

[jartsa]

If I derive force transformation laws very much the same way time transformation law's were derived

in my schoolbook, then that should be very much good and correct :D

 

Radiation pressure inside an Einstein light clock:

 

Let's see how the pressure changes when we start moving sideways relative to the clock.

Let R be Relativistic Change Factor

The energy of the light in the clock becomes: R * energy before

The rate at which the light hammers the container becomes: rate before / R

The light's speed perpendicular to the container wall becomes: speed before / R

So the new pressure will be old pressure / R

 

(direction of light is up and down in this clock)

 

Let's see how the pressure changes when we start moving upwards from the clock.

Let R be Relativistic Change Factor

The energy of the light in the clock becomes: R * energy before

The rate at which the light hammers the container becomes: rate before / R

The light's speed perpendicular to the container wall becomes: no change here

So the new pressure will be same as the old pressure

 

 

Now using these laws we can transform forces in a frame into forces in another frame.

Edited October 5, 2010 by jartsa