As the meter stick in FIGURE Q36.8 flies past you, you simultaneously measure the positions of both ends and determine that
a. To an experimenter in frame S′, the meter stick’s frame, did you make your two measurements simultaneously? If not, which end did you measure first? Explain.
b. Can experimenters in frame S′ give an explanation for why your measurement is less than 1 m.
a. No, you measure left end first.
b. Yes, S' frame is rest frame. it is measure proper time and proper length.
We have given,
We have to find the can we measure the both end of meter stick simultaneously.
Since meter stick moving from left to right then the length covering from the left will be small as compare to the right one .
As it is moving from the left then it will measure the left end first.
We have given,
Meter stick length
We have to find why length is less than
Since S' is rest frame then it will measure the proper length and proper time.
But we are in ground then for us it should be contracted length.
A firecracker explodes in reference frame S at . A second firecracker explodes at the same position at . In reference frame S′, which moves in the x-direction at speed v, the first explosion is detected at and the second at .
a. What is the speed of frame S′ relative to frame S?
b. What is the position of the two explosions in frame S?
Consider the inelastic collision in which an electron-positron pair is produced in a head-on collision between two electrons moving in opposite directions at the same speed. This is similar to Figure 36.39, but both of the initial electrons are moving.
a. What is the threshold kinetic energy? That is, what minimum kinetic energy must each electron have to allow this process to occur?
b. What is the speed of an electron with this kinetic energy?
A ball of mass m traveling at a speed of has a perfectly inelastic collision with an identical ball at rest. If Newtonian physics were correct for these speeds, momentum conservation would tell us that a ball of mass departs the collision with a speed of . Let’s do a relativistic collision analysis to determine the mass and speed of the ball after the collision.
a. What is, written as a fraction like a/b?
b. What is the initial total momentum? Give your answer as a fraction times .
c. What is the initial total energy? Give your answer as a fraction times . Don’t forget that there are two balls.
d. Because energy can be transformed into mass, and vice versa, you cannot assume that the final mass is. Instead, let the final state of the system be an unknown mass traveling at an unknown speed . You have two conservation laws. Find and .
94% of StudySmarter users get better grades.Sign up for free