Assume the Galilean transformation equations are true. Suppose that construction crews have set up a pair of blinking lights 60 m apart to mark a construction zone along a road. A car moves along the road with a speed of 30m/s toward the lights. Let us take the road to be the Home Frame and the car to be the Other Frame. In the Home Frame, the light farther from the car (light 2) blinks 0.66 s before the other light (light 1) blinks as the car approaches. (a) What is the time interval (t'2 - t'1) between the blink events in the car's frame? (Hint: Think about the sign - should it be negative?). (b) What is the x displacement x'2 - x'1 between the events in the car frame?
Assume the Galilean transformation equations are true. Suppose that construction crews have set up a pair of blinking lights 60 m apart to mark a construction zone along a road. A car moves along the road with a speed of 30m/s toward the lights. Let us take the road to be the Home Frame and the car to be the Other Frame. In the Home Frame, the light farther from the car (light 2) blinks 0.66 s before the other light (light 1) blinks as the car approaches. (a) What is the time interval (t'2 - t'1) between the blink events in the car's frame? (Hint: Think about the sign - should it be negative?). (b) What is the x displacement x'2 - x'1 between the events in the car frame?
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