A spaceship leaves the solar system at v = (3/5)c and is headed towards a planet that is 20 c • years away (c is the speed of light). Assume the following: the Sun and the planet are mutually at rest and their clocks have been synchronized such that both read zero when the spaceship leaves. Say that the clock on the ship began at zero. If this is the case, then what should the clock on the ship read when it arrives at the planet?
A spaceship leaves the solar system at v = (3/5)c and is headed towards a planet that is 20 c • years away (c is the speed of light). Assume the following: the Sun and the planet are mutually at rest and their clocks have been synchronized such that both read zero when the spaceship leaves. Say that the clock on the ship began at zero. If this is the case, then what should the clock on the ship read when it arrives at the planet?
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A spaceship leaves the solar system at v = (3/5)c and is headed towards a planet that is 20 c • years away (c is the
Say that the clock on the ship began at zero. If this is the case, then what should the clock on the ship read when it arrives at the planet?
Expert Solution
Concept and Principle:
- Time dilation is the phenomenon by which time gets slower as velocity gets higher. The time measured in the fast-moving frame will be slower compared to the time measured in a rest frame.
- The formula for time dilation is given by,
Here ∆t is the time measured in a reference frame at rest, v is the velocity, and c is the speed of light.
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