A spacecraft moves at a constant speed between Earth and the center of the Milky Way, 26,000 light years away. According to the ship's passengers, the journey takes 30 years. What is the speed of the ship? Use the formula for gamma γ and express the answer in c.

A spacecraft moves at a constant speed between Earth and the center of the Milky Way, 26,000 light years away. According to the ship's passengers, the journey takes 30 years. What is the speed of the ship? Use the formula for gamma γ and express the answer in c.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter5: Relativity

Section: Chapter Questions

Problem 77AP: (a) Find the value of for the following situation. An astronaut measures the length of his spaceship...

See similar textbooks

Similar questions

(a) Using data from Potential Energy of a System (http://cnx.org/content/m5831211atest/#fs-id1165036086155) , find the mass destroyed when the energy in a barrel of crude oil is released. (b) Given these barrels contain 2(N) liters and assuming the density of crude oil is 750kg/m3, what is the ratio of mass destroyed to original mass, m/m?
The Sun produces energy at a rate of 4.001026 W by the fusion of hydrogen. (a) How many kilograms of hydrogen undergo fusion each second? (b) If the Sun is 90.0% hydrogen and half of this can undergo fusion before the Sun changes character, how long could it produce energy at its current rate? (c) How many kilograms of mass is the Sun losing per second? (d) What fraction of its mass will it have lost in the time found in part (b)?
A particle has γ=15,687. Calculate c-v in m/s. (I would have asked for 1 - v/c, making the answer dimensionless, but the system doesn't seem to take numbers that small. Gamma is chosen to make the particle extremely close to the speed of light.) If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation.
A particle has γ=18,399. a) Calculate c-v in m/s. (I would have asked for 1 - v/c, making the answer dimensionless, but the system doesn't seem to take numbers that small. Gamma is chosen to make the particle extremely close to the speed of light.) If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation. b) In a race to the moon, by 3/4ths the distance, light is one or ten meters ahead of the particle. We routinely approximate mass as zero, gamma as infinite, and speed as the speed of light. ("Massless particles" -- gamma and m have to be eliminated from the expressions. Light is a true massless particle.) If a massless particle has momentum 1,739 MeV/c, calculate its energy in MeV. Thank you so much!!
A particle has γ=18,399. a)Calculate c-v in m/s. (I would have asked for 1 - v/c, making the answer dimensionless, but the system doesn't seem to take numbers that small. Gamma is chosen to make the particle extremely close to the speed of light.) If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation. b) In the previous problem, in a race to the moon, by 3/4ths the distance, light is one or ten meters ahead of the particle. We routinely approximate mass as zero, gamma as infinite, and speed as the speed of light. ("Massless particles" -- gamma and m have to be eliminated from the expressions. Light is a true massless particle.) If a massless particle has momentum 1,739 MeV/c, calculate its energy in MeV.
A rocket is traveling through space and its Lorentz factor (y) is 3.9. Determine the rocket's speed (in terms of c) and the ratio of its kinetic energy to its total energy. V= ? X c KE/E= ?
The nearest star to Earth is Proxima Centauri, 4.2 light-years away. Part A At what constant velocity must a spacecraft travel from Earth if it is to reach the star in 3.6 years, as measured by travelers on the spacecraft? Express your answer using two significant figures. VE ΑΣΦ V = Submit Part B t = Request Answer How long does the trip take according to Earth observers? Express your answer using two significant figures. 15. ΑΣΦ Submit ? Request Answer ? с years
The sun produces energy by nuclear fusion reactions, in which matter is converted into energy. By measuring the amount of energy we receive from the sun, we know that it is producing energy at a rate of 3.8 x 1026 W. (a) How many kilograms of matter does the sun lose each second? Approximately how many tons of matter is this (1 ton = 2000 lb)? (b) At this rate, how long would it take the sun to use up all its mass?
The sun produces energy by nuclear fusion reactions, in which matter is converted into energy. By measuring the amount of energy we receive from the sun, we know that it is producing energy at a rate of 3.8 * 1026 W. (a) How many kilograms of matter does the sun lose each second? Approximately how many tons of matter is this (1 ton = 2000 lb)? (b) At this rate, how long would it take the sun to use up all its mass?
a. What is vav,x for the interval from t = 0 to t = 3.60 s? answer in m/s b. What is vav,x for the interval from t = 0 to t = 3.50 s? anser in m/s
Car A is moving east at 52.7 kph while Car B is moving in the direction of N 45° E. For a passenger in Car A, B appears to be moving away in a direction of N 30° W. Solve for the velocity, in kph, that B appears to the passengers in A. Round your answer to 2 decimal places.
The radioactive element radium (Ra) decays by a process known as alpha decay, in which the nucleus emits a helium nucleus. (These high-speed helium nuclei were named alpha particles when radioactivity was first discovered, long before the identity of the particles was established.) The reaction is 226Ra → 222Rn + 4He, where Rn is the element radon. The accurately measured atomic masses of the three atoms are 226.025, 222.017, and 4.003. How much energy is released in each decay? (The energy released in radioactive decay is what makes nuclear waste “hot.”)