At what speed does a clock move if it is measured to run at a rate two-fifths th

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At what speed does a clock move if it is measured to run at a rate two-fifths the rate of a clock at rest with respect to an observer? Need Help? Read it Watch It -2 p ts SerPSE9 39 R015. My Note Ask Your Teach A supertrain with a proper length of 80 m travels at a speed of 0.925 as it passes through a tunnel having a proper length of 47.5 m. As seen by a trackside observer, is the train ever completely within the tunnel? O No If so, by how much do the train's ends clear the ends of the tunnel? (Enter 0 if, as seen by a trackside observer, the train is never completely within the tunnel.) Need Help? Read -3 points SerPSE9 39. P.027. My Note Ask Your Teach A red light flashes at position xR 3.00 m and time tR 1.00 x 10 s, and a blue light flashes at xB 4.60 m and tB 9.10 x 10-9 s, all measured in the s reference frame. Reference frame s' moves uniformly to the right and has its origin at the same point as s att 0. Both flashes are observed to occur at the same place in S (a) Find the relative speed between S and S (b) Find the location of the two flashes in frame S (c) At what time does the red flash occur in the S frame? Need Help? Read it Watch It -1 points SerPSE9 39. P2033 My Note Ask Your Teach An enemy spacecraft moves away from the Earth at a speed of v 0.810 (see figure below). A galactic patrol spacecraft pursues at a speed of u 0.910c relative to the Earth. observers on the Earth measure the patrol craft to be overtaking the enemy craft at a relative speed of 0.100 With what speed is the patrol craft overtaking the enemy craft as measured by the patrol craft's crew? Galactic patrol Enemy spacecraft

Explanation / Answer

here,

length of train , L = 80 m

speed of train , v = 0.925c

tunnel length , Lt = 47.5 m

let the lemgth of train seen by the observer be L'

L' = L * (1-(v/c)^2)

L' = 80 * (1- (0.925c/c)^2)

L' = 11.55 m

therefore , the track observer see the train inside the tunnel

the distance between the train ends clear the ends of tunnel is 47.5 - 11.55

the distance between the train ends clear the ends of tunnel is 35.95 m

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