4. Two ships are moving toward each other with velocity of 0.7 c. At time zero in reference frame (reference
frame of Earth), Ship 1 nearly collides with Earth and Ship 2 is at the distance of 105 km from Earth.
(a)How long does it take according to the clock on Earth before the ships collide...
A 1000m long and 200m wide (when at rest) spaceship equipped with a chronometer is sent on a roundtrip
to their Galactic Base, 8 light years away.
(a) Astronauts start the trip after celebrating their captains 29th birthday and they want to make a round
trip and return to Earth on the eve of...
i just can't find how i can get the velocity of the first ship, when i need the relative velocity to get gamma, and i need gamma to get the proper time and length of other ship from captains viewpoint. then i need to use these to find the velocity. it seems like its a catch 22
i got a value of around 1006 metres for the length of other ship from the captains reference. to do so i had to solve a quartic equation. i used v=(length of other ship from captains reference)/(the time interval from captains reference of 1 microsecond)
i then substituted this into L=L'/gamma...
wouldn't that require finding the length of the captains ship from within the Earth's reference frame. I am just confused as to how the length contraction affects this situation
2. When traveling in space, a ship (length 1000m in its rest frame) passes an identical ship, which is at rest
relative to Earth. The captain of the moving ship decides to measure the speed of her ship. She looks out of
a window and uses her clock to measure the time between the moments when the...