5.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 0.836c, and the other twin travels at 0.428c. (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- A, = (b) Which twin is older?

5.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 0.836c, and the other twin travels at 0.428c. (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- A, = (b) Which twin is older?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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 0.867c, and the other twin travels at 0.515c. (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 = i (b) Which twin is older?
1. A spaceship A (at rest in inertial frame A) of proper length L, =75.0m is moving in the +x direction at a speed v= 0.650c as measured in the Earth frame. Another spaceship B (at rest in inertial frame B) is moving on a parallel path in the opposite direction (-x) with u, =-0.720c as measured in the Earth frame. The two spaceships pass each other. a. What is the velocity and speed parameter of spaceship B in inertial frame A, u,,B' ? b. In inertial frame A, how long does it take for the tip of spaceship B to move from the tip of spaceship A to the tail of spaceship A? c. In inertial frame B, how long does it take for the tip of spaceship B to move from the tip of spaceship A to the tail of spaceship A? d. In the Earth frame, how long does it take for the tip of spaceship B to move from the tip of spaceship A to the tail of spaceship A?
A group of astronauts travel to a nearby star system and back to earth at a velocity of 0.98c (98% of the speed of light) relative to earth. According to the astronauts' clocks, it takes them approximately 8 years to make the journey. Use the time dilation formula to determine how much time has passed on Earth in their absence.
1. A spaceship A moves east along the x axis with a speed of 0.80c and a spaceship B moves west toward the spaceship A with a speed of 0.70c as measured by an observer on the Earth. Calculate the speed of the spaceship A measured by an observer in the spaceship B in terms of c.
John, in his spaceship, observes as Sally, in her spaceship, passes him at a speed of v=0.8c. John who was born and raised on his spaceship, is 20 years old. According to Sally, how old is he? How many birthday parties should he have had and how many presents should Sally have sent him?
1. You are an observer in a 100-m long spacecraft traveling from the earth to the moon at 0.8c. (a)What is the proper length of the spacecraft? (b) For a proper time interval of 1 sec., the relativistic time interval for the spacecraft measured from the earth reference frame would be: (c)Time dilation does not apply to all time-dependent physical and biological processes. T/F? (c) What is the relativistic length, DL measured from the reference frame of earth? (d) An APOLLO crew left a flat mirror reflector on the surface of the moon (for all you deniers out there, in the 50th anniversary year of APOLLO 11!). If the average surface-to-surface distance from the earth to the moon is 3.83 x 10^8 m, then how long does it take moonlight to reach earth?
A star is located 42.8 lightyears from Earth. A spaceship travels to the star with a speed of 0.9870c. If an astronaut aboard the spaceship is 21 years old when the spaceship leaves Earth, how old is she when she reaches the star: a) According to an observer on Earth? b) According to her?
You are on Earth, and a spaceship nearby is traveling at 0.85c. By your clock, 5.50 hours have passed. You compare your clock with the one on the spaceship. How much time has elapsed, as measured by the spaceship's clock?
The identical twins Speedo and Goslo join a migration from the Earth to Planet X, which is 20.0 light-years away in a reference frame in which both planets are at rest. The twins, of the same age, depart at the same time on different spacecraft. Speedo's craft travels steadily at 0.905c, Goslo's at 0.680c. Calculate the age difference between the twins after Goslo's spacecraft lands on Planet X. Which twin is the older? Goslo is older by years.
Answer both of the following questions regarding Special Relativity: a) An astronaut leaves their twin behind on Earth and departs on a journey on a spacecraft travelling at a speed of 0.840c. After 40.0 years pass on Earth, the astronaut returns to Earth to find that their age is now different from their twin. Both twins were 20 years old when the journey started. How old is the astronaut upon returning to Earth?
An observer on Earth sees rocket 1 leave Earth and travel toward Planet X at 0.5c. The observer on Earth also sees that Planet X is stationary. An observer on Planet X sees rocket 2 leave Planet X and travel toward Earth at 0.4c. What is the speed of rocket 1 according to an observer on rocket 2? Select one: a. 0.75c b. 0.70c c. 0.50c d. 0.083c e. 0.90c
1) A rocket with a proper length of 2000 m moves at a speed of 0.85c directly away from an observer on Earth. An astronaut standing at the centre of the rocket fires two electrons at a speed of 0.95c through a vacuum pipe; one electron is aimed toward the front of the rocket, the other toward the rear. a) In the astronaut's frame, calculate the time interval between the electron reaching the front of the rocket and the other electron reaching the rear. b) In the Earth observer's frame, calculate: i) the length of the rocket ii) the speed of the electron moving toward the front of the rocket i) the speed of the electron moving toward the rear of the rocket