A spaceship travels to a distant star at relativistic speed. As measured by observers on Earth, the trip takes 1.8 years and covers a distance of 1.5 light years. Which of the following statements about the duration of the trip is correct?     The proper time equals 1.8 years.     The proper time is shorter than 1.8 years.     The proper time is longer than 1.8 years.

Twins who are 19.0 years of age leave the earth and travel to a distant planet 12.0 light-years away. Assume that the planet and earth are at rest with respect to each other. The twins depart at the same time on different spaceships. One twin travels at a speed of 0.922c, and the other twin travels at 0.421c. (a) According to the theory of special relativity, what is the difference between their ages when they meet again at the earliest possible time? A₂-A₁= (b) Which twin is older? i #

Twins who are 19.0 years of age leave the earth and travel to a distant planet 12.0 light-years away. Assume that the planet and earth are at rest with respect to each other. The twins depart at the same time on different spaceships. One twin travels at a speed of 0.905c, and the other twin travels at 0.407c. (a) According to the theory of special relativity, what is the difference between their ages when they meet again at the earliest possible time? A₂-A₁ = (b) Which twin is older?

A spaceship moves past Earth with a speed of 0.808c. As it is passing, a person on Earth measures the spaceship's length to be 68.7 m. (a) Determine the spaceship's proper length (in m). m (b) Determine the time (in s) required for the spaceship to pass a point on Earth as measured by a person on Earth. s (c) Determine the time (in s) required for the spaceship to pass a point on Earth as measured by an astronaut onboard the spaceship.

If a m = 81.1 kg person were traveling at v = 0.980c, where c 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:

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

When one compares the relativistic kinetic energy to the classically calculated kinetic energy for a moving object, at which of the speeds listed below does the classical calculation give a greater value than the relativistic calculation? 0.2 c 0.707 c 0.5 c None of the values provided will give such a result.

Electromagnetic radiation from a star is observed with an earth-based telescope. The star is moving away from the earth with a speed of 0.590c. If the radiation has a frequency of 8.64 x 10 Hz in the rest frame of the star, what is the frequency measured by an observer on earth? a) Of = 4.39 x 1014 Hz b) Of = 4.93 x 1014HZ c)Of = 4.45 x 1014 Hz d) Of = 4.39 x 1015 Hz e) Of = 4.69 x 1014 Hz

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:

Two friends, Sungyoung and Azhar are initially 10 years old. While Azhar remains on Earth, Sungyoung rides on a spaceship which travels away from Earth at a speed of 1c for 5years (as measured by Azhar), then immediately turns around and comes back at 1c. When Sungyoung returns, Azhar is 2*5 years older than when Sungyoung left. How old is Sungyoung upon his return?