|MadSci Network: Physics|
I saw a question on this site about it: http://www.madsci.org/posts/archives/2001-09/1001434136.Ph.q.html and it is the same question (6-5 from Spacetime Physics) except that now, I have to draw a spacetime diagram for it: A U shaped structure made of the strongest steel contains a detonator switch connected by wire to one metric ton of explosive TNT. A T-shaped structure made of the same strong steel fits inside U, with the long arm of T not quite long enough to reach the detonator switch when the two collide. Therefore there will be no explosion. But, look at the same situation in the rest frame of the T structure . In this frame the arm of the T has its rest length, while the two arms of the U-structure are Lorentz-contracted. Therefore the arm of the T will certainly strike the detonator switch and there will be an awful explosion. Q: ==> Make two spacetime diagrams (the bigger the better) representing the motion of the objects in the T frame and in the U frame. Take the relative speech to be 87% of the speed of light --then the contraction is half of the rest length. Label the front and back of the T structure P and Q respectively and A and B the front and back of the U structure. Determine from your diagram whether there will be an explosion or not. And explain Why your diagram gives your answer. How do I draw this spacetime diagram? Will it explode? And What will the spacetime diagram look like? Please help me if possible, Thanks!
Re: How to draw a spactime diagram for the T and U paradox.
Try the links in the MadSci Library for more information on Physics.