A spacecraft is moving at speed 0.61c relative to two star systems—star system A and star system B— that are always the same distance apart with respect to each other. Observers aboard the spacecraft measure the time taken to travel from start system A to star system B as 23.22 years. What is the distance between the two star systems, in light-years, as measured by an observer that is bound to star system B.

A spaceship travels at 0.818c relative to Earth. If the spaceship fires a small rocket in the forward direction, how fast (relative to the ship) must it be fired for it to travel at 0.870c relative to Earth?

If a m = 81.1 kg person were traveling at v = 0.980c, where c is the speed of light, what would be the ratio of the person's relativistic kinetic energy to the person's classical kinetic energy? kinetic energy ratio: What is the ratio of the person's relativistic momentum to the person's classical momentum? momentum ratio:

The Starship Enterprise, according some Trekkie analysts, is 300 meters long. If it is traveling at 0.985c. what would be the value of L, its length as seen from Earth?

A 1 km spacecraft is racing towards the Sun at 0.75c. Using equations given in class, calculate the spacecraft length you measure from Earth. Treat Earth as not moving compared to the spacecraft's motion of 0.75 c.

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. How long does the trip take according to the space travelers inside the Potemkin? (b) (a) 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) What is the speed of the returning craft as seen from the Potemkin What is the rate at which flashes are seen on Earth from the Potemkin? (e) (f) What is the rate of flashes sent by the returning craft as seen by the Earth observers?

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?

David is 30 years old, and his sister Alexis is 25 years old, when David leaves to travel to planet Rosebud. Planet Rosebud is 20 lightyears away, and at rest relative to the Earth, and David travels at 0.85c. When David begins his journey, he is 5 years older than Alexis. When David arrives at planet Rosebud, who is older (David or Alexis) and by how much?

A cosmic ray particle is released from an exploding star that is 2600 Light Years from Earth. If the particle traveled at 98% the speed of light, how far did it travel in its own frame of reference before hitting Earth?

Two identical spaceships are under construction. The constructed length of each spaceship is 1.1 km. After being launched, spaceship A moves away from earth at a constant velocity (speed is 0.850c) with respect to the earth. Spaceship B follows in the same direction at a different constant velocity (speed is 0.6c) with respect to the earth. Determine the length that a passenger on one spaceship measures for the other spaceship.