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Sagot :
The speed of spaceship which run at a speed of only 3 4 that of a similar clock at rest on earth is 2.4 x 10^8 m/s
As from the given data, the clock in a spaceship is observed to run at a speed of 3/5 of a similar clock that rest on the earth is
T/T° = 3/5
When time moves at a high rate of pace, it slows down. The quantity of time dilation increases as an object moves more quickly. The constant speed of light, independent of the source of the light and the viewpoint of the observer, is partially explained by time dilation.
The expression for the time dilation is given by
T = γT°
γ = T/T°
γ = 1/√1 - v^2/c^2 is time dilation
Substituting the values in the above equation as,
γ = T/T°
5/3 = 1/√1 - v^2/c^2
v^2/c^2 = 16/25
v = 0.8 c
v = 0.8 x 3 x 10^8 m/s
v = 2.4 x 10^8 m/s
Hence, speed of spaceship moving is
2.4 x 10^8 m/s
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