Were on Earth with a very accurate clock and we have put ano
We\'re on Earth with a very accurate clock, and we have put another one, just like it, in a spacecraft headed out to Pluto at 16 km/s. (The New Horizons NASA mission flew past Pluto in 2015.) When the spacecraft arrives at Pluto, what can we anticipate about its internal clock as seen from Earth?
Solution
proper time to reach the space craft to pluto
t = d/v = 7.5*10^9/16 = 4.68*10^8 s
the dilated time measurement of the clock
t2 = t1/(sqrt(1- v^2/c^2)
= 4.68*10^8 /(sqrt(1 - (16*10^3)^2/(3*10^8)^2)
= 4.68*10^8 sec
