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please show me detail solutions for question(a) (c) (e) (f) (g)

I don't really understand

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Billy Wyatt 0.91c Proper length 1000 m Duck (Nb. Billy and Wyatt and Duck not drawn to scale.) Billy and Wyatt courtesy of http://www.designedtoat.com/freegraphics.htm Billy and Wyatt are playing laser tag on a very fast train that is travelling at 0.91c relative to the reference frame of a duck observer standing by the railroad track. The proper length of the train is 1000 m. Billy and Wyatt each fire one laser pulse directly at the other. Wyatt is slightly faster on the trigger than Billy so in Billy and Wyatts reference frame the space-time coordinates of the following events are: Billy fires laser pulse: (0,0,0,0 Bily and Wan Wyatt fires laser pulse: (1000m,0.0,-3.0us)ill and W At the instant he fires, Billy also notices that he is directly adjacent to the duck observer who is at the origin of her coordinate system (a) In the ducks reference frame find the space-time coordinates of the events: (i) (ii) Billy fires laser pulse, Wyatt fires laser pulse. (b) In the ducks reference frame who fires first? If is this different to the sequence of events in (c) In Billy and Wyatts reference frame find the space-time coordinates of the event: Wyatt is hit d) What is the length of the train in the ducks reference frame? Billy and Wyatts reference frame does it violate the laws of physics? bv laser pulse from Billv In Billy and Wyatts reference frame find the space-time coordinates of the event: laser pulses pass each other. (e) In a pair production event: What is the minimum energy of a photon required to produce an electron-positron pair at rest? (N.B. The positron has the same mass as the electron (9.11 x 10 What is the corresponding momentum of the photon? (f) kg) but opposite charge.) (g)

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