The speed of light is 3 × 108m/s. The Sun has a mass of 2 × 1030kg. a). If all of the Sun’s mass were concentrated at a single point, at what distance would the orbital velocity of an object be the speed of light? The universal gravitational constant is G=6.67×10−11[m3/(s2 · kg)] (Schwarzchild radius).  b). Suppose the Sun were to actually collapse into such a black hole meaning that its radius shrinks to the size in part (a), and the mass remains the same. How would the orbit of the Earth change (if at all?) In other words, would the orbital radius or velocity change, and if so, by how much? Explain. c). The sun rotates once every 24 days and has a radius of 6.96×108m. What would the rotational period of the sun be if it collapsed to a radius equal to the radius in part (a)?

College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter7: Rotational Motion And The Law Of Gravity
Section: Chapter Questions
Problem 47AP: (a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77...
icon
Related questions
Question
100%

9)
The speed of light is 3 × 108m/s. The Sun has a mass of 2 × 1030kg.

a). If all of the Sun’s mass were concentrated at a single point, at what distance would the orbital velocity of an object be the speed of light? The universal gravitational constant is G=6.67×10−11[m3/(s2 · kg)] (Schwarzchild radius)

b). Suppose the Sun were to actually collapse into such a black hole meaning that its radius shrinks to the size in part (a), and the mass remains the same. How would the orbit of the Earth change (if at all?) In other words, would the orbital radius or velocity change, and if so, by how much? Explain.

c). The sun rotates once every 24 days and has a radius of 6.96×108m. What would the rotational period of the sun be if it collapsed to a radius equal to the radius in part (a)?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Relativistic speed and time
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics Volume 3
University Physics Volume 3
Physics
ISBN:
9781938168185
Author:
William Moebs, Jeff Sanny
Publisher:
OpenStax
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning