Re: Help with SR time dilation

dseppala_at_austin.rr.com
Date: 02/06/05 

Date: Sun, 06 Feb 2005 16:05:03 GMT

On Sun, 06 Feb 2005 10:18:04 -0500, jem <xxx@xxx.xxx> wrote:

>dseppala@austin.rr.com wrote:
>> Can anyone please explain the following, supposedly simple, SR problem
>> to me.
>>
>> Let there be two identical water troughs parallel to the x-axis. Let
>> them move in opposite directions along the x-axis with a velocity
>> V=0.866c. Let each water trough have a pump attached to it that
>> pumps 10 liters of water per second, as measured in the frame of the
>> trough that its attached to. The pumps are initially off, and the
>> water troughs are nearly filled with water. At time t0, lets say the
>> the two pumps are at the same x coordinate. At that point in space
>> and time, both pumps are turned on. The pump on trough A pumps water
>> from trough A into trough B, and the the pump on trough B pumps water
>> from trough B into trough A.
>>
>> As viewed from the trough A frame, according to SR, pump B is pumping
>> at half the rate that pump A is pumping. The question I have, is how
>> do observers in frame A explain why trough B never overflows?
>
>Measured from A, what are the densities (molecules/liter) of the water
>being pumped out of/into B?
Instead of talking about densities, let's just say that pump A pumps N
atoms of water per second as measured by observers in Frame A, and
that an identical pump in Frame B pumps N atoms of water per second as
measured by observers in Frame B.
David

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