The crew of an enemy spacecraft attempts to escape from your spacecraft by moving away from you at 0.287 of the speed of light. But all is not lost! You launch a space torpedo toward the foe at 0.333 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
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- 2. A ladder 5.50 m long leans against a wall inside a spaceship. From the point of view of a person on the ship, the top of the ladder is 4.79 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. What is the length of the ladder as seen by an observer on Earth? mOne of the wavelengths of light emitted by hydrogen atoms under normal laboratory conditions is l = 656.3 nm, in the red portion of the electromagnetic spectrum. In the light emitted from a distant galaxy this same spectral line is observed to be Doppler-shifted to l = 953.4 nm, in the infrared portion of the spectrum. How fast are the emitting atoms moving relative to the earth? Are they approaching the earth or receding from it?A rocket ship traveling near the speed of light appears to a stationary observer to shorten with speed. A rocket with a length of 200 meters will appear to a stationary observer to have a length of 200 Sqrt[1-r^2]meters, where r is the ratio of the velocity of the ship to the speed of light. What is the apparent length of the rocket ship if it is traveling at a speed that is 99% off the speed of light?
- Someone in Earth's rest frame says that a spaceship's trip between two planets took 10.0 years, while an astronaut on the space ship says that the trip took 6.27 years. Find the speed of the spaceship (as measured by someone in Earth's rest frame) in terms of the speed of light. 0.959c 0.687c 0.489c 0.684c 0.779cThe half-life of a muon at rest is 1.5 micro secs. Muons that have been accelerated to a very high speed and are then held in a circular storage ring have a half-life of 6.2 micro secs. What is the total energy of a muon in the storage ring? The mass of a muon is 207 times the mass of an electron. 0.97cThe pilot of a space ship shines a laser pointer from the back of the ship to the front. The laser travels at the speed of light 300,000 km/s with respect to the ship, which is itself moving at 100,000 km/s. What will be the speed of the laser beam according to an observer at rest outside the ship? Express your answer in 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