spaceship 3 meters wide, v= 2c/3. (a.) calculate ships time, (b) sq. root factor, (c) earth's time, (d) ships displacement, (e) lights displacement, and (f) which clock "runs slow"
b. square root 1-v^2/c^2
c. earth's time = answer a/b (it tells me to use the two formulas actually, i figured this is equivalent)
d. ships displacement =vt
e. lights displacement= ct
f. which clock runs slow
The Attempt at a Solution
all of the formula have been given to me, i just wanna make sure my answers are right.
a. 3m/3.00X10^8 m/s= 1X10^-8 s
b. sq. root 1-2X10^8= -1.9999999X10^8
c. t= -5X10^-17-----should this be a magnitude????
d. 2c/3*-5X10^-17= -1X10^-8 meters
e. ct= (3.00X10^8 m/s)(-5X10^-17) =-1.5X10^-8
g. i think i remember from the lecture that the earth clock runs slow because of the displacement, it seems like it takes longer.
like i said, i just wanna see if my work is right. i have a feeling c is wrong, because time shouldnt be negative. im pretty sure the formulas are right because my teacher gave them in the book.