The crew of an enemy spacecraft attempts to escape from your spacecraft by moving away from you at 0.283 of the speed of light. But all is not lost! You launch a space torpedo toward the foe at 0.345 of the speed of light with respect to you. At what speed in kilometers per second does the enemy crew observe the torpedo approaching its spacecraft? speed: km/s

Two spaceships are moving along the line connecting them. One of the spaceships shoots a missile towards the other. The missile leaves the attacking spaceship at 0.955c and approaches the other at 0.755c.   What is the relative velocity of the two spaceships? Express it as a ratio to the speed of light. Let the relative velocity of the spaceships be positive if they are approaching each other and negative if they are moving apart from one another.

A beam of light is moving directly along the spaceship, but through an old-fashioned fiber optic cable. The speed of light in the cable is 0.6 times the speed of light in a vacuum. The spaceship is moving at 0.8 times the speed of light. What speed do you observe from the ground?

The crew of an enemy spacecraft attempts to escape from your spacecraft by moving away from you at 0.277 of the speed of light. But all is not lost! You launch a space torpedo toward the foe at 0.347 of the speed of light with respect to you. At what speed in kilometers per second does the enemy crew observe the torpedo approaching its spacecraft? speed: km/s

Particles called ?-mesons are created by accelerator beams. If these particles travel at 2.40 ✕ 108 m/s and live 3.00 ✕ 10−8 s when at rest relative to an observer, how long (in seconds) do they live as viewed in the laboratory?

The speed of light relative to still water is 2.25 * 10^8 m/s. If the water is moving past us, the speed of light we measure depends on the speed of the water. Do these facts violate Einstein’s second postulate? Explain.

A driver is sentenced in court for crossing an intersection in red light. For his defense, the driver claims that due to the relativistic Doppler effect he saw the traffic light as green color. Color of light depends on the light wavelength (wavelength of a wave is equal to the speed of the wave times the period). The wavelength of red light is 700 nm and the wavelength of green light is 500 nm. How fast the driver should have travelled to see red color as green color? Give answer in units of speed of light. 0.32 X

Your 1000-m-long starship has warning lights at each end that, to you, flash simultaneously every minute. You are moving directly away from the planet Zerkon at 0.70c. To a Zerkonian, do the lights flash simultaneously? If not, which flashes first— the light at the front of your ship or the trailing one?

As shown in the figure, a stationary mirror is mounted in a reference frame S and a space shuttle moves toward the mirror at a speed v = 0.590c relative to the reference frame S. The instant the shuttle is a distance d = 5.00 × 10¹0 m from the mirror (as measured by an observer in S), it emits a light pulse that travels to the mirror and is reflected back to the shuttle. Determine the total travel time (in s) for the light pulse as seen by the following. (a) an observer in the S reference frame S (b) an observer on the shuttle S What If? If the light beam has an initial wavelength of 530 nm, determine the shift (in nm) in the wavelength of the light beam as measured by the following (use + for an increase and decrease). (c) an observer in the S frame nm Mirror (d) an observer on the shuttle nm for a

4. A ladder leans against a wall inside a spaceship. From the point of view of person on the ship, the base of the ladder is 2.00 m from the wall, and the top of the ladder is 5.66 m above the floor. The spaceship moves past the Earth with a speed of 0.95c in a direction parallel to the floor of the ship. Find the angle the ladder makes with the floor, as seen by an observer on Earth. f60 ssf60 ssf60 s sf60 ssforce 50 ssf60 s ssf60 ssfo