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

A spaceship moves past Earth with a speed of 0.908c. As it is passing, a person on Earth measures the spaceship's length to be 74.2 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.  s

A1. (a) A large rocket ship traveling away from Earth at a speed of 0.4c launches a shuttle which also travels in the direction away from earth. From an observer on the rocket ship the shuttle is receding at a speed of 0.6c. Calculate the velocity of the shuttle for an observer on Earth. (b) A spaceship leaves Earth and travels in a fixed direction with constant speed 0.80c in the Earth's reference frame. A video call is set to be made from the spaceship exactly one year after launch, as measured by a clock on the spaceship. (i) Calculate how far away from Earth the spaceship is (in light-years) when the video call is made. (ii) Calculate how long after the departure time, as measured on Earth, before the video call is received on Earth. The call is transmitted by radio waves.

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. W What is the distance between Mercury and Mars as measured by a passenger on the spaceship?

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?

A starship moves away from Mars at a speed of 0.75c relative to Mars. The starship launched a small rocket with the length of 13 m as measured by an observer on the starship. The small rocket moves in the same direction as the starship at a speed of 0.40c relative to the starship. i) Find the velocity of the small rocket relative to Mars.ii) Calculate the length of the small rocket as measured by an observer on Mars.

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.

The inertial reference frames, S and S', both share the same origin at t = t'= 0. The 5' trame is moving at a speed 0.700c in the positive direction, as seen by frame S. An event happens at (1', x', y', z') = (300s, 2.50×10m,1.50×10"m, 2.90x10"m), as observed in the S' frame. What are the spacetime coordinates in the S frame?

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) 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?