To: (a) show that the orbital speed of the star is given by v = r G M R 3 and time period T = 2π R 3 G M where T is independent or r. (b) find the expression for star’s orbital period if the galaxy’s mass is concentrated at the center.

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Answer 1

Question

Chapter 44, Problem 44P

To determine

To:

(a) show that the orbital speed of the star is given by v=rGMR3 and time period

T = 2π R3GM where T is independent or r.

(b) find the expression for star’s orbital period if the galaxy’s mass is concentrated at the center.

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The radius Rh of a black hole is the radius of a mathematical sphere, called the event horizon, that is centered on the black hole. Information from events inside the event horizon cannot reach the outside world. According to Einstein's general theory of relativity, Rh = 2GM/c2, where M is the mass of the black hole and c is the speed of light. Suppose that you wish to study a black hole near it, at a radial distance of 48Rh. However, you do not want the difference in gravitational acceleration between your feet and your head to exceed 10 m/s2 when you are feet down (or head down) toward the black hole. (a) Take your height to be 1.5 m. What is the limit to the mass of the black hole you can tolerate at the given radial distance? Give the ratio of this mass to the mass MS of our Sun. (b) Is the ratio an upper limit estimate or a lower limit estimate?

Answer 2

Question

Chapter 44, Problem 44P

To determine

To:

(a) show that the orbital speed of the star is given by v=rGMR3 and time period

T = 2π R3GM where T is independent or r.

(b) find the expression for star’s orbital period if the galaxy’s mass is concentrated at the center.

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Check out a sample textbook solution

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Answer 3

Question

Chapter 44, Problem 44P

To determine

To:

(a) show that the orbital speed of the star is given by v=rGMR3 and time period

T = 2π R3GM where T is independent or r.

(b) find the expression for star’s orbital period if the galaxy’s mass is concentrated at the center.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 44, Problem 44P

To determine

To:

(a) show that the orbital speed of the star is given by v=rGMR3 and time period

T = 2π R3GM where T is independent or r.

(b) find the expression for star’s orbital period if the galaxy’s mass is concentrated at the center.

Expert Solution & Answer

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See solution

Answer 5

Chapter 44, Problem 44P

To determine

To:

(a) show that the orbital speed of the star is given by v=rGMR3 and time period

T = 2π R3GM where T is independent or r.

(b) find the expression for star’s orbital period if the galaxy’s mass is concentrated at the center.

Answer 6

Chapter 44, Problem 44P

To determine

To:

(a) show that the orbital speed of the star is given by v=rGMR3 and time period

T = 2π R3GM where T is independent or r.

(b) find the expression for star’s orbital period if the galaxy’s mass is concentrated at the center.

Answer 7

Chapter 44, Problem 44P

To determine

To:

(a) show that the orbital speed of the star is given by v=rGMR3 and time period

T = 2π R3GM where T is independent or r.

(b) find the expression for star’s orbital period if the galaxy’s mass is concentrated at the center.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 44 - Prob. 1Q Ch. 44 - Prob. 2Q Ch. 44 - Prob. 3Q Ch. 44 - Prob. 4Q Ch. 44 - Prob. 5Q Ch. 44 - Prob. 6Q Ch. 44 - Prob. 7Q Ch. 44 - Prob. 8Q Ch. 44 - Prob. 9Q Ch. 44 - Prob. 10Q

To: (a) show that the orbital speed of the star is given by v = r G M R 3 and time period T = 2π R 3 G M where T is independent or r. (b) find the expression for star’s orbital period if the galaxy’s mass is concentrated at the center.

Solution Summary: The author explains that the orbital speed of a star is given by v=rsqrtGMR3 and time period T = 2

Concept explainers

To:

(a) show that the orbital speed of the star is given by v=rGMR3 and time period

T = 2π R3GM where T is independent or r.

(b) find the expression for star’s orbital period if the galaxy’s mass is concentrated at the center.

Want to see the full answer?

Chapter 44 Solutions

To: (a) show that the orbital speed of the star is given by v = r G M R 3 and time period T = 2π R 3 G M where T is independent or r. (b) find the expression for star’s orbital period if the galaxy’s mass is concentrated at the center.

Solution Summary: The author explains that the orbital speed of a star is given by v=rsqrtGMR3 and time period T = 2

Concept explainers

To: (a) show that the orbital speed of the star is given by v=rGMR3 and time period T = 2π R3GM where T is independent or r. (b) find the expression for star’s orbital period if the galaxy’s mass is concentrated at the center.

Want to see the full answer?

Chapter 44 Solutions

To:

(a) show that the orbital speed of the star is given by v=rGMR3 and time period

T = 2π R3GM where T is independent or r.

(b) find the expression for star’s orbital period if the galaxy’s mass is concentrated at the center.