Question

In: Physics

•• A meter stick is moving with speed relative to a frame S. (a) What is...

•• A meter stick is moving with speed relative to a frame S. (a) What is the stick’s length, as measured by observers in S, if the stick is parallel to its velocity v? (b) What if the stick is perpendicular to v? (c)What if the stick is at to v, as seen in the stick’s rest frame? [HINT: You can imagine that the meterstick is the hypotenuse of a 30–60–90 triangle of plywood.] (d) What if the stick is at 60° to v, as measured in S?

Not hand-writing please (only if it is very clear).

I only need part c and d.


speed is 0.8c

Solutions

Expert Solution

C) We know that the length of the moving object will be contracted. If the original length of the rod is l(l=1m) at rest then the measured length from rest-frame when it is at a velocity v=0.8c is

                                   (cis the velocity of the light)

b) In the given scenario in the problem the parallel and perpendicular(to the velocity v=0.8c) length of are respectively

     

the parallel length will be contracted and perpendicular will be unchanged. Then the measured parallel length from s will be

         

the total length(l') measured from will be

                

and the measured angle will be

           

    

            


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