Earth and a star are 20 light years (ly) apart, measured in a frame at rest with respect to Earth and star. Twin A boards a spaceship, travels at 0.80c to the star, and then returns immediately to Earth at 0.80c. Determine the round-trip travel times in Earth and ship refer- ence frames.
Earth and a star are 20 light years (ly) apart, measured in a frame at rest with respect to Earth and star. Twin A boards a spaceship, travels at 0.80c to the star, and then returns immediately to Earth at 0.80c. Determine the round-trip travel times in Earth and ship refer- ence frames.
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Transcribed Image Text:Earth and a star are 20 light years (ly) apart, measured in a frame
at rest with respect to Earth and star. Twin A boards a spaceship,
travels at 0.80c to the star, and then returns immediately to Earth at
0.80c. Determine the round-trip travel times in Earth and ship refer-
ence frames.
Expert Solution
Concept and Principle:
- When objects move fast the time measured in the moving frame will be shorter than the time measured in a rest frame. This effect is known as time dilation.
- The shortest time measured by the clock present at two events is called proper time. The dilated time is given by,
Here ∆t' is the proper time, ∆t is dilated time, v is the relative velocity between the frames, and c is the speed of light.
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