Showing 271 to 280 of 657 Questions

Reference frame S' is to pass reference frame S at speed v along the common direction of the x' and x axes, as in Figure. An observer who rides along with frame S' is to count off a certain time interval on his wristwatch. The corresponding time interval Δ t is to be measured by an observer in frame S. Figure gives Δt versus spe
0105 
The premise of the Planet of the Apes movies and book is that hibernating astronauts travel far into Earth's future, to a time when human civilization has been replaced by an ape civilization. Considering only special relativity, determine how far into Earth's future the astronauts would travel if they slept for 120 y while traveling rela
0289 
(Come) back to the future. Suppose that a father is 20.00 y older than his daughter. He wants to travel outward from Earth for 2.000 y and then back to Earth for another 2.000 y (both intervals as he measures them) such that he is then 20.00 y younger than his daughter. What constant speed parameter B (relative to Earth) is required for t
0459 
You wish to make a round trip from Earth in a spaceship, traveling at constant speed in a straight line for exactly 6 months (as you measure the time interval) and then returning at the same constant speed. You wish further, or your return, to find Earth as it will be exactly 1000 years in the future.(a) To eight significant figures, at w
1246 
A meter sticks in frame S' makes an angle of 30o with the x' axis. If that frame moves parallel to the x axis of frame S with speed 0.90c relative to frame S, what is the length of the stick as measured from S?
0253 
A rod lies parallel to the x axis of reference frame S, moving along this axis at a speed of 0.630c. Its rest length is 1.70m. What will be its measured length in frame S?
0195 
An electron of β = 0.999 987 moves along the axis of an evacuated tube that has a length of 3.00 m as measured by a laboratory observer S at rest relative to the tube. An observer S' at rest relative to the electron, however, would see this tube moving with speed v (= βc). What length would observer S' measure for the tube?
0147 
A spaceship of rest length 130 m races past a timing station at a speed of 0.740c. (a) What is the length of the spaceship as measured by the timing station? (b) What time interval will the station clock record between the passage of the front and back ends of the ship?
1444 
A rod is to move at constant speed u along the x axis of reference frame S, with the rod's length parallel to that axis. An observer in frame S is to measure the length L of, the rod. Figure gives length L versus speed parameter B for a range of values for β. The vertical axis scale is set by La = 1.00 m. What is L if v = 0.95c?
0272 
The center of our Milky Way galaxy is about 23 000ly away. (a) To eight significant figures, at what constant speed parameter would you need to travel exactly 23 000ly (measured in the Galaxy frame) in exactly 30 y (measured in your frame)? (b) Measured in your frame and in lightyears, what length of the Galaxy would pass by you during t
0138