In the exercise 1, if the stick is moving in a direction along its length (like a properly thrown spear), how long will you measure its length to be?
Solution 34E In exercise 1, if the stick is moving in a direction along it’s length, then the length contraction would take place. Suppose the actual length of the stick in it’s rest frame is l . 0 Let’s say that the velocity at which it is moving is “V”. The length contraction from some reference frame on the ground according to the special theory of relativity would be, l = l 1 V 2 ---------------------(1) 0 c Here lis the length measured from the reference frame situated at rest in ground. So, the length will be less in the frame and depends on how fast the stick is moving.