A spaceship moves with speed vs directly towards a space station. It dispatches a package to the station with speed v with respect to itself. A second supply package is mistakenly dispatched before the spaceship’s cargo ejection system has fully recharged, and consequently recedes from the spaceship at a speed of only vr
1. How much time elapses in transit as measured by a clock travelling with the first supply package?
2. Assuming that the difference in times of dispatch, and the difference in distance travelled by the two consignments is negligible, calculate the difference in arrival times at the space station between the main course and the dessert consignments.
3. How much has each of the packages ‘aged’?)
Lorrentz, time dilation.
The Attempt at a Solution
This is for an assessment, I left the numbers out. My question is which frame of reference do we use? Earlier in the question we calculated the speed of the package relative to the station. If the clock is travelling with the food package, in its inertial frame (constant velocity). Doesnt the clock run at normal speed to an observer travelling with the package?
Wouldnt observers see the clock at different times from the ship and station? The question asks for the clock from the packages frame. I would say time passes normally, the question has 7 marks available so I assume they want a calculation of some type.
Can someone please explain this.