The star Sirius A is 8.66 light-years from Earth. Imagine a spaceship that travels from Earth to Sirius A at a constant speed of 0.951c. On Earth, we would measure the time it takes for the ship to reach the star to be (8.66 ly/0.951c)=9.11 years (a) How much time (in years) would it take the ship to travel from the Earth to the star as measured by an astronaut aboard the ship? (b) What is the distance to the star (in light years) as measured by an astronaut aboard the ship?

The star Sirius A is 8.66 light-years from Earth. Imagine a spaceship that travels from Earth to Sirius A at a constant speed of 0.951c. On Earth, we would measure the time it takes for the ship to reach the star to be (8.66 ly/0.951c)=9.11 years (a) How much time (in years) would it take the ship to travel from the Earth to the star as measured by an astronaut aboard the ship? (b) What is the distance to the star (in light years) as measured by an astronaut aboard the ship?

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter1: Relativity I

Section: Chapter Questions

Problem 28P

See similar textbooks

Similar questions

The average lifetime of a pi meson in its own frame of reference is 2.6 × 10−8 s. If the meson moves with a speed of 0.95c, what is (a) its mean lifetime as measured by an observer on Earth and (b) the average distance it travels before decaying, as measured by an observer on Earth?
Figure P9.21 shows a jet of material (at the upper right) being ejected by galaxy M87 (at the lower left). Such jets are believed to be evidence of supermassive black holes at the center of a galaxy. Suppose two jets of material from the center of a galaxy are ejected in opposite directions. Both jets move at 0.750c relative to the galaxy center. Determine the speed of one jet relative to the other. Figure P9.21
Imagine an astronaut on a trip to Sirius, which lies 8 light - years from Earth. Upon arrival at Sirius, the astronaut finds that the trip lasted 6 years. If the trip was made at a constant speed of 0.8c, how can the 8 - light - year distance be reconciled with the 6 - year duration?
An astronaut takes a trip to Sirius, which is located a distance of 8 light-years from the Earth. The astronaut measures the time of the one-way journey to be 6 years. If the spaceship moves at a constant speed of 0.8c, how can the 8-ly distance be reconciled with the 6-year trip time measured by the astronaut?
The Milky Way has a diameter (proper length) of about 1.2 x 105 light-years. As far as an astronaut is concerned, how long (in years) would it take to cross the Milky Way, if the speed of the spacecraft is 0.99999 c?
As measured by the crew, a spaceship takes 5.6 years to fly from Earth to a distant star. If the ship traveled at 0.97c, which of the following is the distance between Earth and the star as measured by observers on Earth? a. 22.3 light years b. 24.6 light years c. 20.9 light years d. 29.2 light years
You have been hired as an expert witness in the future by an attorney representing the driver of a spacecraft. The driver is accused of exceeding the galactic speed limit of 0.700c relative to the Earth while being chased by a galactic police spacecraft. The driver claims he is innocent, that his speed was well below that limit. You have been provided with the following data: the police spacecraft was traveling at 0.600c while chasing the driver and a technician on the police spacecraft measured the suspected spacecraft as traveling at 0.300c relative to the police spacecraft. What advice should you give the attorney?
How much would you age in traveling a distance of 4.50 light years from earth if you were able to travel at a speed of 0.907c?
The star 61 Cygni A is 11.4 light-years from Earth. Imagine a spaceship that travels from Earth to 61 Cygni A at a constant speed of 0.921c. On Earth, we would measure the time it takes for the ship to reach the star to be 11.4 ly 0.921c = 12.4 years. (a) How much time (in years) would it take the ship to travel from the Earth to the star as measured by a traveler aboard the ship? years (b) What is the distance to the star (in light years) as measured by a traveler aboard the ship? ly
a- A certain star is 18.618.6 light-years away. How long would it take a spacecraft traveling 0.950c to reach that star from Earth, as measured by observers on Earth? 19.6 years b- How long would it take a spacecraft traveling 0.950c to reach that star from Earth, as measured by observers on the spacecraft? 6.11 years c-What is the distance traveled according to observers on the spacecraft? d-What will the spacecraft occupants compute their speed to be from the results of (b) and (c)?
The star Epsilon Eridani is 10.4 light-years from Earth. Imagine a spaceship that travels from Earth to Epsilon Eridani at a constant speed of 0.921c. On Earth, we would measure the time it takes for the ship to reach the star to be (10.4ly/0.921c)= 11.2 years. (a) How much time (in years) would it take the ship to travel from the Earth to the star as measured by a passenger aboard the ship? years (b) What is the distance to the star (in light years) as measured by a passenger aboard the ship?
A star is 80 light years from Earth. How fast does a spacecraft have to be for the journey to last the 70 years of an astronaut's life? The answer is 0,7526c. Show a complete approach on how to get to the answer by using the necessary equations.