Matthew is traveling inside a spacecraft with speed 0.7c, was seen by Jan who is at rest at the earth’s ground. By the time Matthew passes over Jan’s position, Jan measured the length of the spacecraft. Is the length of the spacecraft longer, shorter or the same to Jan’s reference as compared to Matthew’s reference frame?

1) A rocket with a proper length of 2000 m moves at a speed of 0.85c directly away from an observer on Earth. An astronaut standing at the centre of the rocket fires two electrons at a speed of 0.95c through a vacuum pipe; one electron is aimed toward the front of the rocket, the other toward the rear. a) In the astronaut's frame, calculate the time interval between the electron reaching the front of the rocket and the other electron reaching the rear. b) In the Earth observer's frame, calculate: i) the length of the rocket ii) the speed of the electron moving toward the front of the rocket i) the speed of the electron moving toward the rear of the rocket

The inertial reference frames, S and S', both share the same origin at t =t'=0. The S' frame is moving at a speed 0.700c in the positive direction, as seen by frame S. An event happens at (t',x', y', z') (300s, 2.50x10"m, 1.50x10"m, 2.90x10"m), as observed in the S' frame. What are the spacetime coordinates in the S frame?

A spaceship travels from Mercury to Mars at a speed of 0.81c relative to the Earth. Assume Earth, Mars and Mercury don’t move relative to each other. The time of the trip as measured by an Earth observer is 700 seconds. What is the time of the trip as measured by a passenger on the spaceship? What is the distance between Mercury and Mars as measured by a passenger on the spaceship?

This is the question please answer

A newly constructed spaceship has a length of 100.0 m (as measured in the rest frame). This spaceship departs the Earth, bound for a distant planet located a distance D = 50.0 light-years away from the Earth. It travels at a constant speed of v = 0.900c.   Part A) As measured by Mission Control on Earth, how long does the journey take? Enter the numerical value in units of years. Part B) According to an astronaut on the spaceship, how long does the journey take? Enter the numerical value in units of years. Part C) As measured by Mission Control on Earth, what is the spaceship's apparent length? Enter the numerical value in SI units

Two rockets moving towards each other. Rocket A moving to the right with speed 0.80c while rocket B moving to the left with speed 0.60c. The length of the two rockets are the same, that are 50m as measured by the earth observer.  i) What is the lengths of the two rockets as measured by the astronouts in their rockets? ii) What is the velocity of the rocket relative to each other? iii) If the earth observer measured the initial distance of the two rockets to be 2.52 x 1012 m apart, what are distance of the two rockets observed by observer in the rockets? iv) How long before they collide, observed by the observer in the rockets?  v) If both rockets could evacuate within 90 min (their own time), will they survive?

You and a friend pass each other in spaceships that are each traveling 0.41c relative to the other. You observe that your spaceship (which you have measured to be 225 m long) is the exact same length as your friend's spaceship. How long is your friend's spaceship in their frame? How long is your spaceship in your friend's frame? = ______             =________