Spaceship A passes earth at speed V when its clock (as well as the adjacentearth clock) reads zero (event £1). When the earth clock reads T, spaceship B passesearth, moving at speed U in the same direction as the first (event £2). Assumethat U> V; let 5 be the earth frame and S' be the rest frame of ship A. Eventually,ship B catches up to A (event £3). Note the similarity between this problem andproblem 3.10.(a) Find the time of £3 in frame S.(b) Find the time of E2 in frame 5'.(c) Find the time of £3 in frame 5'.(d) According to 5' observers, how far away was earth at £2?(e) From these results, find the velocity of ship B as measured by observers onA. This is the relativistic velocity transformation law, which will be derived fromthe Lorentz transformation in the next chapter (eq. [4.15]). 3.11. Spaceship A passes earth at speed V when its clock (as well as the adjacentearth clock) reads zero (event E,). When the earth clock reads T, spaceship B passesearth, moving at speed U in the same direction as the first (event E,). Assumethat U>V; let S be the earth frame and S' be the rest frame of ship A. Eventually,ship B catches up to A (event E3). Note the similarity between this problem andproblem 3.10.(a) Find the time of Ez in frame S.(b) Find the time of Ez in frame S'.(c) Find the time of Ez in frame S'.(d) According to S' observers, how far away was earth at E,?(e) From these results, find the velocity of ship B as measured by observers onA. This is the relativistic velocity transformation law, which will be derived fromthe Lorentz transformation in the next chapter (eq. [4.15]).

spaceship A speed=V Event E1, Time when it passes earth=0s (This time is recorded as 0s in both…

3.11. Spaceship A passes earth at speed V when its clock (as well as the adjacent earth clock) reads zero (event E,). When the earth clock reads T, spaceship B passes earth, moving at speed U in the same direction as the first (event E2). Assume that U>V; let S be the earth frame and S' be the rest frame of ship A. Eventually, ship B catches up to A (event E,). Note the similarity between this problem and problem 3.10. (a) Find the time of Ez in frame S. (b) Find the time of Ez in frame S'. (c) Find the time of E3 in frame S'.

3.11. Spaceship A passes earth at speed V when its clock (as well as the adjacent earth clock) reads zero (event E,). When the earth clock reads T, spaceship B passes earth, moving at speed U in the same direction as the first (event E2). Assume that U>V; let S be the earth frame and S' be the rest frame of ship A. Eventually, ship B catches up to A (event E,). Note the similarity between this problem and problem 3.10. (a) Find the time of Ez in frame S. (b) Find the time of Ez in frame S'. (c) Find the time of E3 in frame S'.