Question

Consider three identical clocks A, B and C. Clocks A and B are at rest in the frame at a distance $d = 8.64 \times 10^{11} m$ apart (as measured in the S frame) and at $t = 0$ (12:00 noon). The clocks A and B are set to read the same time (as observed in the S frame). Clock C is moving to the right along the positive x-axis of the S frame with velocity $v = 0.8c$. Clock C is at the origin and at rest in the S'-frame. The origins of the two frames coincide at $t = t' = 0$ and at that time clock A and clock C read the same time (i.e. 12 noon). (i) Find the time in clock B at the instant clock C and clock B cross each other. (ii) Find the time in clock C at the instant clock C and clock B cross each other.

          Consider three identical clocks A, B and C. Clocks A and B are at rest in the frame at a distance $d = 8.64 \times 10^{11} m$ apart (as measured in the S frame) and at $t = 0$ (12:00 noon). The clocks A and B are set to read the same time (as observed in the S frame). Clock C is moving to the right along the positive x-axis of the S frame with velocity $v = 0.8c$. Clock C is at the origin and at rest in the S'-frame. The origins of the two frames coincide at $t = t' = 0$ and at that time clock A and clock C read the same time (i.e. 12 noon).
(i) Find the time in clock B at the instant clock C and clock B cross each other.
(ii) Find the time in clock C at the instant clock C and clock B cross each other.

Consider three identical clocks A, B and C. Clocks A and B are at rest in the frame at a distance d = 8.64 × 10^11 m apart (as measured in the S frame) and at t = 0 (12:00 noon). The clocks A and B are set to read the same time (as observed in the S frame). Clock C is moving to the right along the positive x-axis of the S frame with velocity v = 0.8c. Clock C is at the origin and at rest in the S'-frame. The origins of the two frames coincide at t = t' = 0 and at that time clock A and clock C read the same time (i.e. 12 noon).
(i) Find the time in clock B at the instant clock C and clock B cross each other.
(ii) Find the time in clock C at the instant clock C and clock B cross each other.

Added by Fernando G.

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