One cosmic-ray particle approaches Earth along Earth’s north–south axis with a speed of 0.80c toward the geographic north pole, and another approaches with a speed of 0.60c toward the geographic south pole.What is the relative speed of approach of one particle with respect to the other?

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?

Electromagnetic radiation from a star is observed with an earth-based telescope. The star is moving away from the earth with a speed of 0.580c. If the radiation has a frequency of 8.64 x 1014 Hz in the rest frame of the star, what is the frequency measured by an observer on earth?

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

The Starship Enterprise, according some Trekkie analysts, is 300 meters long. If it is traveling at 0.985c. what would be the value of L, its length as seen from Earth?

What is the momentum of a proton moving at a speed of v = 0.75c?

The nearest star to Earth is Proxima Centauri, which is 4.3 light years away. The spacecraft Potemkin is sent to this star at a constant velocity of 0.73c, and the craft carries a light beacon that flashes once a day to signal the earth that all is well. While traveling to the star the Potemkin passes a similar ship returning from the star at the same speed. How long does the trip take according to the space travelers inside the Potemkin? (b) (a) How long does the trip take according to Earth observers? (c) According to the space travelers inside the Potemkin, what is the distance to Proxima Centauri? (d) What is the speed of the returning craft as seen from the Potemkin What is the rate at which flashes are seen on Earth from the Potemkin? (e) (f) What is the rate of flashes sent by the returning craft as seen by the Earth observers?

An observer in reference frame S' observes that a lightning bolt strikes the origin, and 1.0×10−4 s later a second lightning bolt strikes the same location. What is the time separation delta t between the two lightning bolts determined by a second observer in reference frame S moving at a speed of 0.90c along the collinear x-x'-axis? delta t = ? s

1. Consider inertial reference frame S to be the lab frame. A proton is moving in the positive x (+x) direction at a kinetic energy of 1250 MeV, as measured in frame S. Inertial reference frame S' moves at a speed of 0.55c in the positive-x (+x) direction relative to frame S. a) Find the speed of the proton in terms of the speed of light, c, as measured in frame S. b) Find the magnitude and direction of the speed of the proton as measured in frame S'.

How far from the earth would you be able to travel in a lifetime of 88 years if you were able to travel at a constant speed of 0.67c?