- #1
Taylor_1989
- 402
- 14
Homework Statement
I am currently stuck on a problem as shown below. My confusion really come from the fact that I can never seem to understand the difference between proper time and time dilation. As in some books they seem to mean the same thing and never give a clear indication
Homework Equations
time dilation
##\Delta t'=\gamma \Delta t##
where
##\Delta t'=## the dilated time in the moving frame
##\Delta t=## the time measure in the rest frame.
The Attempt at a Solution
What confusing me the most about this question in the change in frame. The question to me is all done in the reference frame of the earth.
so in Earth frame the velocity of the ship, one day later is ##\sqrt{0.8}c^2##, but it where I go from here is the confusing part originally, i thought you then just sub this into the time dilation equation, then i realized that not correct as I am looking for proper time.
I am now thinking I need to change the reference frame using Lorentz transformation, but then that to me is incorrect as you can use the Lorentz transformation in time to derive time dilation.