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Benzoate
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Homework Statement
A clock is placed in a satellite that orbits Earth for a period of 5400 seconds. By what time interval will this clock differ from an identical clock on Earth after 1 year(assume that special relativity applies.)
Homework Equations
v(escape velocity)=11186 m/s
possibly delta(t) = delta(t')/gamma
gamma =1/sqrt(1-v^2/c^2)
The Attempt at a Solution
First I converted 1 year => 31536000 s
after 1 year , the observers on the satelitte measured the new time of the sattilitte to be
t(new)= 31536000 seconds + 5400 seconds = 31541400 seconds
after 1 year , the observers measured the Earth notices that the velocity of the satelitte to approach the speed of light.
t'(new) = 31536000 seconds + 5400 seconds/gamma=31541400.000004
the time interval between the times measured on Earth and on the satelitte after 1 year = 31541400 seconds -31541400.000004=.000004 seconds
but the back of my books says 9.6 ms. Where did I go wrong ?