The nearest star to Earth is Proxima Centauri, which is 4.3 light years away. The spacecraft Potemkin is sent to this star at a constant velocity of 0.73c, and the craft carries a light beacon that flashes once a day to signal the earth that all is well. While traveling to the star the Potemkin passes a similar ship returning from the star at the same speed. (a) How long does the trip take according to the space travelers inside the Potemkin? (b) How long does the trip take according to Earth observers? (c) According to the space travelers inside the Potemkin, what is the distance to Proxima Centauri? (d) (e) What is the rate at which flashes are seen on Earth from the Potemkin? What is the speed of the returning craft as seen from the Potemkin (f) What is the rate of flashes sent by the returning craft as seen by the Earth observers?

The nearest star to Earth is Proxima Centauri, which is 4.3 light years away. The spacecraft Potemkin is sent to this star at a constant velocity of 0.73c, and the craft carries a light beacon that flashes once a day to signal the earth that all is well. While traveling to the star the Potemkin passes a similar ship returning from the star at the same speed. (a) How long does the trip take according to the space travelers inside the Potemkin? (b) How long does the trip take according to Earth observers? (c) According to the space travelers inside the Potemkin, what is the distance to Proxima Centauri? (d) (e) What is the rate at which flashes are seen on Earth from the Potemkin? What is the speed of the returning craft as seen from the Potemkin (f) What is the rate of flashes sent by the returning craft as seen by the Earth observers?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

An astronaut exercising on a treadmill maintains a pulse rate of 150 per minute. If he exercises for 1.00 h as measured by a clock on his spaceship, with a stride length of 1.00 m/s, while the ship travels with a speed of 0.900c relative to a ground station, what are (a) the pulse rate and (b) the distance walked as measured by someone at the ground station?
a) Galactus tries to destroy the Earth by stopping the Moon in its orbit. What effect would this have on the Moon and on the Earth? b) To prevent this, Flash (sorry, wrong company) runs to the Moon at a speed of 0.998c. From his point of view, the trip takes 0.126 s. How long does it take from our point of view on Earth?
Physics Consider a space traveler in a starship moving away from Earth with a speed of u = 0.9c to a star that is D = 4.5 lightyear away. a) How long is the journey according to an observer on Earth? b) How long does the journey take according to the traveler? c) How much time elapses between the launch and the arrival of the first radio message received at earth from the traveler saying that he has just arrived at the star?
As you pilot your space utility vehicle at a constant speed toward the moon, a race pilot flies past you in her spaceracer at a constant speed of 0.800c relative to you. At the instant the spaceracer passes you, both of you start timers at zero. (a) At the instant when you measure that the spaceracer has traveled 1.20 x 108 m past you, what does the race pilot read on her timer? (b) When the race pilot reads the value calculated in part (a) on her timer, what does she measure to be your distance from her? (c) At the instant when the race pilot reads the value calculated in part (a) on her timer, what do you read on yours?
At a speed of 0.95c, a spacecraft is veering to the right. For the benefit of the physicists at the Earth-based observatory, a banner with a length of 2 meters and a width of 1.5 meters is strung out the bottom of the spacecraft. (a) How long will the physicists measure the banner? A lengthy amount of time must be spent in rolling up this banner due to its breadth. Because it takes around 300 seconds to slide back inside, people aboard the spacecraft will notice. A physicist may want to keep track of how long the experiment lasts. if a second spacecraft is launched to move at a speed of 0.8c with regard to the first, what is the second spaceship's speed with respect to the Earth?
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?
A space shuttle passes over the Earth at v = 0.90c speed. If the length of space shuttle observed by the astronaut inside is 100meters, what is the length of it observed by someone on Earth?
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
Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has speed v = 0.82c. The muon then travels at constant speed and lives 1.5 μs as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock.) 1)how many meters does it travel as observed on the earth? 2)how many meters is this in muon's frame?
A borg spaceship is in the shape of a cube of side 100.0 m when it is at rest with respect to an observer. What length, width, and height will be the observer witness if the ship flies by at 0.62c going right to left? b) two borq crewmembers are arm wrestling, and it takes 6.0 seconds for the contest to end as measured by a third crewmember. As the ahip flies past the earth at 0.62c, how long will the match last according to an observer on earth?
Please answer D A spaceship from another galaxy passes over the solar system directly above a radial line from the sun to the Earth. (We measure the distance between the Earth and the Sun to be 1.496 x 1011 m.) An observer standing on the Earth measures that the spaceship is approaching at 0.800c. The Earth-based observer also measures that it takes the spaceship 625 seconds to travel from the sun to Earth. Ignore the relative motion of the Sun and Earth in this problem – their relative speed is only 0.001c, negligibly small compared to 0.800c. a) According to a scientist in the spaceship, the Earth-Sun distance is: 8.976 x 1010m b) According to a scientist in the spaceship, the time it takes her to travel the Earth-Sun distance is: 357s c) What is the ratio of the kinetic energy to rest energy of the spaceship? KE/ER = 0.667 d) As the spaceship passed over the Sun, the alien scientist launched a probe toward Earth, traveling at 0.200c relative to the spaceship. What would the…
If ever the human race would need to leave Earth, the Trappist-1 system might make a good destination – the star there has seven temperate terrestrial planets, a few of which are close to Earth’s size and mass. It’s 39.6 light years away, though, so it could take a long time to get there. (a) If the spaceship had a speed of 0.95c, how long would the journey take from the Earth’s reference frame? (b) How long would the journey be for the passengers on the spaceship?