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Liono4ka [1.6K]
2 years ago
10

A clock in a spaceship is observed to run at a speed of only 3 4 that of a similar clock at rest on earth. how fast (in terms of

c) is the spaceship moving?
Physics
1 answer:
aniked [119]2 years ago
5 0

The speed of spaceship moving 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

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

Learn more about Speed here:

brainly.com/question/13943409

#SPJ4

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