A spaceship of proper length L’ = 400 m moves past a transmitting station at a speed of 0.76c. At the instant that the nose of the ship passes the transmitter, clocks at the transmitter and in the nose of the ship are synchronized to t = t’ = 0. The instant that the tail of the ship passes the transmitter a signal is sent and subsequently detected by the receiver in the nose of the ship.

(a) When, according to the clock in the ship, is the signal sent?

(b) When, according to the clock at the transmitter, is the signal received by the spaceship?

(c) When, according to the clock in the ship, is the signal received?

(d) Where, according to an observer at the transmitter, is the nose of the spaceship when the signal is received?