A spaceship of proper length Lp = 500 mmoves past a transmitting station at a speed of 0.83c.(The transmitting station broadcasts signals that travel at thespeed of light.) A clock is attached to the nose of the spaceshipand a second clock is attached to the transmitting station. Theinstant that the nose of the spaceship passes the transmitter, theclock attached to the transmitter and the clock attached to thenose of the spaceship are set equal to zero. The instant that thetail of the spaceship passes the transmitter a signal is sent bythe transmitter that is subsequently detected by a receiver in thenose of the spaceship.
(a) When, according to the clock attached to the nose of thespaceship, is the signal sent?
  µs
(b) When, according to the clocks attached to the nose of thespaceship, is the signal received?
  µs
(c) When, according to the clock attached to the transmitter, isthe signal received by the spaceship?
  µs
(d) According to an observer that works at the transmittingstation, how far from the transmitter is the nose of the spaceshipwhen the signal is received?
m
