What are the postulates for the Special Theory of Relativity?

What is the difference between our Solar System, our galaxy, and the Universe?

Show that the velocity of a star orbiting its galaxy in a circular oibit is inversely proportional to the square root of its orbital radius, assuming the mass of the stars inside its orbit acts like a single mass at the center of the galaxy. You may use an equation from a previous chapter to support your conclusion, but you must justify its use and define all terms used.

Imagine an astronaut on a trip to Sirius, which lies 8 light-years from Earth. Upon arrival at Sirius, the astronaut finds that the trip lasted 6 years. If the trip was made at a constant speed of 0.8c, how can the 8-light-year distance be reconciled with the 6-year duration?

17. Use Cramer's rule to solve for x and t the Lorentz equations of special relativity: S x' = y(x – vt) | t' = y(t – væ/c²) where 7(1 – v²/²) = 1 Caution: Arrange the equations in standard form.

4. If the Sun suddenly became a black hole, how would the Earth's orbit be affected? Explain.

2. An astronaut measures the distance between two stars as being 14.7 light-year and she measures the time it takes to travel between the stars as 21.0 years. a. Identify whether the astronaut or an observer on one of the stars would measure the following 4 properties. Proper Distance Proper Time b. How fast is the astronaut travelling? Dilated Time c. What is the proper distance (length) between the stars? d. What is the contracted distance (length) between the stars? Contracted Length e. What is the proper time between leaving one star and arriving at the other star? f. What is the dilated time between leaving one star and arriving at the other star?

3. Explain the concept of Sommerfeld Elliptical orbits. Also discuss the quantization of elliptical orbits and the value of eccentricity. What is the relativistic correction to Sommerfeld elliptical orbits?

18. According to the General Theory of Relativity, what will happen to the light of a star located behind the sun when it travels towards an observer on earth?rocks? * O A. The light from the star will be reflected away from earth. O B. The sun will block the light beam and will not reach earth. O C. The light of the star will add up to the brightness of the sun. O D. The gravity of the sun will slight|ly bend the passing light from the star.

You are a passenger on a spaceship. As the speed of the spaceship increases, you would observe A. the length of your spaceship getting shorter. B. the length of your spaceship getting longer. C. the length of your spaceship varying erratically. D. nothing unusual about the length of your spaceship.