- #1
pablodel
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Missing homework template due to originally being posted in other forum.
Hello my name is Pablo, I'm new in the forum and couldn't find any similar post so i decided to ask. I have the following situation:
In reference frame S (asumed stationary) there is a stick (length Lo in frame S) which falls from Yo at a vertical speed of 0.6c relative to S. In S the stick is horizontally positioned.
There's also another reference frame, S' which moves at 0.8c (positive x) relative to S (note that x and x' are aligned and y is parallel to y'). So I've got an object moving only vertically in a stationary reference fram and another reference frame which moves horizontally relative to the other frame.
I need to calculate which end of the stick gets to y'=0 first and also the tangent of the angle it forms when it first touches the ground. Finally i have to calculate the kinietic energy in terms of the stationary mass.
I used the Laurentz time transformation to get the contact timie for each of the ends of the stick in S' assuming the time in S is t=Yo/0.6c.
For the next step i did the following: the Δx'=Lo/γ and (i do not trust myself in this one) ΔY'=u'*Δt' where u' is the Lorentz transformation of the vertical speed relative to S and Δt' is the difference between the times i calculated previously. Is this correct? if it is not ok how can i solve this?
Thanks a lot
In reference frame S (asumed stationary) there is a stick (length Lo in frame S) which falls from Yo at a vertical speed of 0.6c relative to S. In S the stick is horizontally positioned.
There's also another reference frame, S' which moves at 0.8c (positive x) relative to S (note that x and x' are aligned and y is parallel to y'). So I've got an object moving only vertically in a stationary reference fram and another reference frame which moves horizontally relative to the other frame.
I need to calculate which end of the stick gets to y'=0 first and also the tangent of the angle it forms when it first touches the ground. Finally i have to calculate the kinietic energy in terms of the stationary mass.
I used the Laurentz time transformation to get the contact timie for each of the ends of the stick in S' assuming the time in S is t=Yo/0.6c.
For the next step i did the following: the Δx'=Lo/γ and (i do not trust myself in this one) ΔY'=u'*Δt' where u' is the Lorentz transformation of the vertical speed relative to S and Δt' is the difference between the times i calculated previously. Is this correct? if it is not ok how can i solve this?
Thanks a lot
