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In: Physics

Please make up a problem where there is a spaceship observed from the Earth to be...

Please make up a problem where there is a spaceship observed from the Earth to be moving toward a star at a certain speed. You give the distnance from the spaceship to the star and the question asks how much time has passed to get to the star. Please use equations to solve for this problem. Thanks!

Solutions

Expert Solution

Suppose the spaceship is moving with speed v

The distance from the Earth to the star is

Then the time taken to reach the spaceship as measured in Earth's frame is

The time taken to reach the spaceship as measured in space ship's frame is different. It is smaller by a time dilation factor

Note that the time as measured by someone on the spaceship is smaller than the time as measured by Earth

Let's put number's in the equations

Let

and the velocity be

where c is the speed of light

Then the time taken by the spaceship to reach the star as measured by someone on Earth is

And the time as measured by someone in the spaceship is

genius_generous answered 2 years ago
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