Chapter 1, Problem 13P

Three digital clocks A, B, and C run at different rates and do not have simultaneous readings of zero. The figure shows simultaneous readings on pairs of clocks for four occasions. (At the earliest occasion, for example, Breads 25.0 s and C reads 92.0 s.) If two events are 500 s apart on clock A, how far apart are they on (a) clock B and (b) clock C? (c) When clock A reads 380 s, what does clock B read? (d) When clock C reads 10 s, what does clock B read? (Assume negative readings for pre-zero times.)

At what speed, in m/s,  would a moving clock lose 1.1 ns in 1.0 day according to experimenters on the ground?   Hint: Use the binomial approximation. Express your answer in meters per second using two significant figures.

Two atomic clocks are synchronized. One is placed on a satellite which orbits around the earth at high speeds for a whole year. The other is placed in a lab and remains at rest with respect to the earth. You may assume both clocks can measure time accurately to many significant digits. a)Will the two clocks still be synchronized after one year? b) imagine the speed of light is much lower than its actual value. How would the results of this experiment change if the speed of light was only twice the average speed of the satellite? Explain your reasoning using a calculation.