PeterDonis
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This doesn't make sense. If the string has an ultimate tensile strength of 0.01 N, and it is pulled with a force of 500 N, it will break. That's what "ultimate tensile strength" means: that any force greater than the ultimate tensile strength breaks the string.Lluis Olle said:Putting the considered values in the @Dales formula, if the string can oppose an ultimate tensile string of at least 0,01 N, will not break, and can enter Born rigidity condition. The considered weak string ultimate tensile strength, considering that being pulled and accelerated has already a 500 N tension force to start with, is 34,000 times greater than the calculated limit.
Perhaps what you mean to say is that, with the given numbers, if the string can exert a force on the spaceships of only 0.01 N, it can make the motion Born rigid; and since the string has to withstand a pulling force from the ships of 500 N, it clearly must have an ultimate tensile strength of much greater than 0.01 N, so it can indeed exert a force of 0.01 N back on the spaceships and pull them into a Born rigid condition.
If the latter is what you meant, I agree it's correct; but it isn't what you said.