The crew of an enemy spacecraft attempts to escape from your spacecraft by moving away from you at 0.2910.291 of the speed of light. But all is not lost! You launch a space torpedo toward the foe at 0.3430.343 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?

At the Stanford Linear Accelerator Center (SLAC; see Fig. 33.9), subatomic particles are accelerated to high energies over a straight path whose length, in Earth's reference frame, is 3.2 km. For an electron traveling at 0.9999995c, how long does the trip take as measured (a)in Earth's frame and (b) in the electrons' frame?

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.

Clark Kent (a.k.a. Superman) is standing in the doorway of the entrance to a 525-meter-long hallway. (Lc = 525 m) Suddenly, Barry Allen (a.k.a. The Flash) runs down the length of the hallway at high speed (only 28% of the speed of light), as measured by Clark. (p or vc% = 28%) (Remember: c = 0.3 m/ns)

A cylindrical spaceship of length 35.0 m and diameter 8.35 m is traveling in the direction of its cylindrical axis (length). It passes by the Earth at a relative speed of 2.44××1088 m/s. a) What is the length of the ship, as measured by an Earth observer? b) What is the diameter of the ship, as measured by an Earth observer? c) How long does it take the spaceship to travel a distance of 10.0 km according to the ship's pilot? d) How long does it take the spaceship to travel a distance of 10.0 km according to an Earth-based observer?

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.

The starship Enterprise approaches the Klingon home world with speed 0.6c relative to the planet. To announce its arrival, the Enterprise sends a message in a projectile that travels toward the planet with speed 0.4c relative to the Enterprise. At what speed does Klingon at the surface of the planet see the projectile approach?  Using relativistic velocity equation.

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

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