The closest known star to our solar system is Alpha Centauri, which is approximately 4.30 light years away. A spaceship with a constant speed of 0.800c relative to the earth travels from Earth to this star.. have midtern this morning. thanks for your help
@robtobey help please.
Relativity.
@tester97 . hi
@thomaster help please.
@Vincent-Lyon.Fr
What is the question?
he closest known star to our solar system is Alpha Centauri, which is approximately 4.30 light years away. A spaceship with a constant speed of 0.800c relative to the earth travels from Earth to this star.. have midtern this morning. thanks for your help
The closest known star to our solar system is Alpha Centauri, which is approximately 4.30 light years away. A spaceship with a constant speed of 0.800c relative to the earth travels from Earth to this star.. have midtern this morning. thanks for your help
An astronaut leaves Earth in a spaceship at a speed of 0.960c relative to an observer on Earth. The astronaut's destination is a star system 14.4 light-years away (one light-year is the distance light travels in one year.) According to the astronaut, how long does the trip take
@Abhisar .....
Did you notice that in your first post you didn't actually ask a question, so no one could help you ? To answer the astronaut question, you need to think about events defined by their position in space and time relative to a specified reference frame. Then, if you consider two events, relativity defines the spacetime interval between those events in a particular way\[interval^2=c^2\delta t^2-\delta x^2\] This interval has the same value in any inertial reference frame, which means it can be used to solve your problem. Event 1 would be the astronaut setting off from earth Event 2 would be the astronaut arriving at the destination star. In the earth frame of reference you know that dx = 14.4 light years and dt =14.4/0.96 years, so you can calculate the spacetime interval c^2dt^2 - dx^2 In the spaceship frame of reference, dx =0 since the astronaut just sits in the spaceship and so dt for the astronaut is just equal to the spacetime interval, calculated from the earth data above. helpful hint - just work with distances in light years, time in years and let c=1 to get the answer in years.
A spaceship travelling from earth to alpha centauri at a speed of 0.8c would take 5.375 years as measured by earth observers, but for the astronauts on board the spaceship, only 3.225 years would have elapsed.
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