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.

How far from the earth would you be able to travel in a lifetime of 75 years if you were able to travel at a constant speed of  0.62c?

Many expressions in special relativity contain the gamma (y) factor. 1 Y √1-v²/c² In the equation, u is the speed of some object or reference frame and c is the speed of light. Find the numerical value of y for each of the listed speeds. U = 0, 1 Y = V = 0.450c, Y = V = 0.980c, Y = 5.03

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?

Spaceship A moves past the earth at 0.85 c to the west. Spaceship B approaches A, moving to the east. Both spaceship crews measure their relative speed of approach to be 0.950 c., What mass would the crews of both spaceships measure for the standard kilogram, kept at rest on the earth, according to the special theory of relativity?

A spaceship moves past Earth with a speed of 0.808c. As it is passing, a person on Earth measures the spaceship's length to be 68.7 m. (a) Determine the spaceship's proper length (in m). m (b) Determine the time (in s) required for the spaceship to pass a point on Earth as measured by a person on Earth. s (c) Determine the time (in s) required for the spaceship to pass a point on Earth as measured by an astronaut onboard the spaceship.

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:

A rocket travels along a line from the Sun to Saturn at a constant speed of 0.862c relative to the Sun. The distance from the Sun to Saturn is 1.43 x 1012 m, as measured by someone at rest with respect to the Sun. How long does the journey take (in minutes) as measured by an astronaut on the rocket? (Use c = 2.9979 × 108 m/s) min

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.