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Chapter 37: 11P (page 1116)
A rod lies parallel to the axis of the reference frame , moving along this axis at a speed of . Its rest length is 1.70 m. What will be its measured length in frame ?
The measured length in frame is .
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In Fig. 37-9, observer S detects two flashes of light. A big flash occurs at and, later, a small flash occurs at . As detected by observer S', the two flashes occur at a single coordinate x'. (a) What is the speed parameter of S', and (b) is S' moving in the positive or negative direction of the x axis? To S', (c) which flash occurs first and (d) what is the time interval between the flashes?
A particle with mass m has speed c/2 relative to inertial frame S. The particle collides with an identical particle at rest relative to frame S. Relative to S, what is the speed of a frame S’ in which the total momentum of these particles is zero? This frame is called the center of the momentum frame.
The length of a spaceship is measured to be exactly half its rest length. (a) To three significant figures, what is the speed parameter of the spaceship relative to the observer’s frame? (b) By what factor do the spaceship’s clocks run slow relative to clocks in the observer’s frame?
Galaxy A is reported to be receding from us with a speed of 0.35c. Galaxy B, located in precisely the opposite direction, is also found to be receding from us at this same speed. What multiple of c gives the recessional speed an observer on Galaxy A would find for (a) our galaxy and (b) Galaxy B?
Figure 37-16 shows a ship (attached to reference frame ) passing us (standing in reference frame). A proton is fired at nearly the speed of light along the length of the ship, from the front to the rear. (a) Is the spatial separation between the point at which the proton is fired and the point at which it hits the ship’s rear wall a positive or negative quantity? (b) Is the temporal separation between those events a positive or negative quantity?
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