Relativistic length and time 6. Suppose two observers in different frames compar
ID: 2077274 • Letter: R
Question
Relativistic length and time 6. Suppose two observers in different frames compare their meter sticks and their clocks a. Would both observers agree on their ranking for the lengths of each meter stick? Ie if observer 1 sees a particular meter stick as being longer than the other, would observer 2 also agree the second meter stick is longer? b. Would the observers agree on their ranking for the rate at which each clock ticks? The observers also measure the velocity of each other relative to their own frame. c. would the relative velocity measured by observer 1 compare to that measured by observer d. In Galilean relativity all observations between frames are symmetric: an observation made in frame 1 of an event in frame 2 is the same as that made in frame 2 of an event in frame 1. Are all observations in special relativity symmetric? If not, is there a subset that are? 7. A game of relativistic soccer is played in space. All players are in rockets that travel at ch4, and all players can the ball at c/2 in their frame. A player is travelling straight up, and when they are parallel with the goal they kick the ball straight toward the center of the goal. a. In the player's frame, in which direction relative to the x axis should they kick the ball? (Hint: Draw a triangle involving the distance to the goal and the distance the goal has travelled while the ball is moving) Explain. b. In the frame of goal the of the ball is purely in the direction. How fast is the ball traveling in the goal's frame? c. Suppose all the players sped up to cl2. Would players have to be more accurate or less accurate with their kicks? Tutorials in introductory Physics: Electrodynamics c Physics Education Group, University of Washington Preliminary Edition, 2017Explanation / Answer
6.
If 2 observers compare length and THEIR clocks
There would be no change in both if they are measuring the lengths and clocks in their own reference frames.
Only contradiction would be if a meter stick is at rest and both observers moving at different speeds, observe meter sticks and clocks.
One more possibility is : measurements will be Contradictory when, one observer observesmeter stick in his own reference frame and in other observer reference frame.
The length in other observer refrence frame would be smaller.
Similarly, clock of other observer would be ticking slower than in his own refrence frame.
If they observe sticks and clocks of each other, still they would be happy with each others readings, because speed of 1 wrt 2 = speed of 2 wrt 1.