▼ Part A In Interstellar, there's a scene where they descend to a planet that's really close to the event horizon of the supermassive black hole Gargantua. By eye, the planet looks to be orbiting at around twice the black hole's Schwartzschild radius. We'll say the planet is at exactly twice the Schwarzschild radius. For every hour that passed on the ship that stayed far away, what fraction of an hour would have passed for Anne Hathaway and Matthew McConaughey down on the planet? Express your answer in hours to two significant figures. tplanet = Submit Part B X Incorrect; Try Again; 2 attempts remaining tplanet = [5] ΑΣΦ Submit Previous Answers Request Answer Provide Feedback What if the planet were actually really really close in, like if it orbited at 1.01 times (1% larger than!) the Schwarzschild radius? In that case, for every hour that passed on the ship that stayed far away, what fraction of an hour would have passed for Anne Hathaway and Matthew McConaughey down on the planet? Express your answer in hours to two significant figures. IVE| ΑΣΦ ? Request Answer hr ? hr Next >

▼ Part A In Interstellar, there's a scene where they descend to a planet that's really close to the event horizon of the supermassive black hole Gargantua. By eye, the planet looks to be orbiting at around twice the black hole's Schwartzschild radius. We'll say the planet is at exactly twice the Schwarzschild radius. For every hour that passed on the ship that stayed far away, what fraction of an hour would have passed for Anne Hathaway and Matthew McConaughey down on the planet? Express your answer in hours to two significant figures. tplanet = Submit Part B X Incorrect; Try Again; 2 attempts remaining tplanet = [5] ΑΣΦ Submit Previous Answers Request Answer Provide Feedback What if the planet were actually really really close in, like if it orbited at 1.01 times (1% larger than!) the Schwarzschild radius? In that case, for every hour that passed on the ship that stayed far away, what fraction of an hour would have passed for Anne Hathaway and Matthew McConaughey down on the planet? Express your answer in hours to two significant figures. IVE| ΑΣΦ ? Request Answer hr ? hr Next >

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 20PQ: A black hole is an object with mass, but no spatial extent. It truly is a particle. A black hole may...

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Similar questions

What is the Schwarzschild radius for the black hole at the center of our galaxy if it has the mass of 4 million solar masses?
As an object falls into a black hole, tidal forces increase. Will these tidal forces always tear the object apart as it approaches the Schwarzschild radius? How does the mass of the black hole and size of the object affect your answer?
What would be the Schwarzschild radius, in light years, if our Milky Way galaxy of 100 billion stars collapsed into a black hole? Compare this to our distance from the center, about 13,000 light years.
As a person approaches the Schwarzschild radius fo a black hole, outside observers see all the processes of that person (their clocks, their heart rate, etc.) slowing down, and coming to a halst as they reach the Schwarzschild radius. (The person falling into the black hole sees their own processes unaffected.) But the speed of light is the same everywhere for all observers. What does this say about space as you approach the black hole?
If the Sun were to collapse into a black hole, the point of no return for an investigator would be approximately 3 km from the center singularity. Would the investingator be able to survive visiting even 300 km from the center? Answer this by finding the difference in the gravitatoinal attraction the black holes exerts on a 1.0-kg mass at the head and at the feet of the investigator.
A black hole is an object with mass, but no spatial extent. It truly is a particle. A black hole may form from a dead star. Such a black hole has a mass several times the mass of the Sun. Imagine a black hole whose mass is ten times the mass of the Sun. a. Would you expect the period of an object orbiting the black hole with a semimajor axis of 1 AU to have a period greater than, less than, or equal to 1 yr? Explain your reasoning. b. Use Equation 7.6 to calculate this period.
Nothing can escape the event horizon of a black hole, not even light. You can think of the event horizon as being the distance from a black hole at which the escape speed is the speed of light, 3.00 ×× 1088 m/sm/s, making all escape impossible. What is the radius of the event horizon for a black hole with a mass 7.5 times the mass of the sun? This distance is called the Schwarzschild radius.?
Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 • 1011 solar masses. A star orbiting on the galaxy’s periphery is about 6.0 • 104 light years from its center. a) What should the orbital period of that star be in years? b) If its period is 6.0 • 107 years instead, what is the mass of the galaxy in solar masses? Such calculations are used to imply the existence of “dark matter” in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies.
Nothing can escape the event horizon of a black hole, not even light. You can think of the event horizon as being the distance from a black hole at which the escape speed is the speed of light, 3.00×10^8 m/s, making all escape impossible. What is the radius of the event horizon for a black hole with a mass 3.5 times the mass of the sun?
The presence of Dark Matter was theorized due to the curve of the data that the motion of the stars around the central core of our neighboring galaxy (Andromeda) has been approximately flat rather than decreasing at large distances. Which fundamental concept in this chapter helped us in understanding this phenomena? a.) Orbital speed b.) Escape speed c.) Law of equal areas d.) Law of elliptical orbits What happens to the magnitude of the force between two objects with the same mass if we double the distance between them? a.) The magnitude of the force will be doubled. b.) The magnitude of the force will be quadrupled. c.) The magnitude of the force will be halved. d.) The magnitude of the force will be 1/9 of its inital magnitude.e. E
Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 ✕ 1011 solar masses. A star orbiting near the galaxy's periphery is 6.0 ✕ 104 light years from its center. (a) What should the orbital period (in y) of that star be? y (b) If its period is 6.9 ✕ 107 y instead, what is the mass (in solar masses) of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies. solar masses
Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 ✕ 1011 solar masses. A star orbiting near the galaxy's periphery is 6.0✕ 104 light years from its center. (a) What should the orbital period (in y) of that star be? y (b) If its period is 5.1✕ 107 y instead, what is the mass (in solar masses) of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies. solar masses