If an object is spherical with a radius of r when viewed at rest, how would its appearance change if it was traveling at relativistic speeds?

A meterstick moving at 0.970c relative to the Earth's surface approaches an observer at rest with respect to the Earth's surface. (a) What is the meterstick's length as measured by the observer? m(b) Qualitatively, how would the answer to part (a) change if the observer started running toward the meterstick?

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?

Inside a spaceship flying past the earth at three-fourths the speed of light, a pendulum is swinging. (a) If each swing takes 1.80 s as measured by an astronaut performing an experiment inside the spaceship, how long will the swing take as measured by a person at mission control (on earth) who is watching the experiment? (b) If each swing takes 1.80 s as measured by a person at mission control, how long will it take as measured by the astronaut in the spaceship?

A spacecraft leaves Earth at a constant speed of 0.69c as measured by an observer on Earth. It heads towards a distant star system. The star system is 43.94 lightyears away from Earth, as measured by an observer on Earth. When the spacecraft leaves Earth, the captain of the crew is 24.5 years old. (a) What is the Lorentz γ factor to 3 decimal place precision? (b) What is time taken, in years (to one decimal place precision), to reach the star system as measured by an observer on Earth? (c) What is the distance, in lightyears (to one decimal place precision), the spacecraft travels to reach the star system as measured by the crew of the spacecraft? (d) How old is the captain of the crew when the spacecraft arrives at the star system (use one decimal place precision, and assume the captain can live well beyond normal range of years for a human)? (e) As the spacecraft arrives at the star system, it sends a radio signal back to Earth. Assuming the spacecraft never stops and continues past...

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

A meterstick moving at 0.900 c relative to the Earth’s surface approaches an observer at rest with respect to the Earth’s surface. (a) What is the meterstick’s length as measured by the observer? (b) Qualitatively, how would the answer to part (a) change if the observer started running toward the meterstick?

If a m = 87.5 kg person were traveling at v = 0.992c, where e is the speed of light, what would be the ratio of the person's relativistic kinetic energy to the person's classical kinetic energy? kinetic energy ratio: What is the ratio of the person's relativistic momentum to the person's classical momentum? momentum ratio:

If relativistic effects are to be less than 3%, then y must be less that 1.03. At what relative velocity is y=1.03?

9) A rocket with a speed of 0.5 c is moving toward a stationary observer. It is putting out a light ray with a wavelength of 500 nm. What is the speed of that light ray as seen by the stationary observer? 10) In (9) what is the wavelength of the light as seen by the stationary observer? 11) If the light ray in (9) is pulsed so that to an observer on the rocket there are 100 pulses every second, what is the number of pulses per second as seen by the stationary observer? (Note that this, in essence creates a clock on the rocket).

At what speed does the classical momentum, p=mv, give an error, when compared with the relativistic momentum, of 1.70 %? At what speed does the classical momentum, p=mv, give an error, when compared with the relativistic momentum, of 4.41 %?

HINT (a) What is the momentum (in kg · m/s) of a proton moving at 0.886c? |kg · m/s (b) At what speed (in m/s) will a particle's relativistic momentum equal twice its classical momentum? |m/s

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 ×ばつ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?