Physics Fundamentals
Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 6, Problem 15P
To determine

To Find: The value of acceleration and G from the given data.

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The Sun, which is 2.2 * 10^20 m from the centerof the Milky Way galaxy, revolves around that center once every2.5 * 10^8 years. Assuming each star in the Galaxy has a mass equalto the Sun’s mass of 2.0 * 10^30 kg, the stars are distributed uniformlyin a sphere about the galactic center, and the Sun is at theedge of that sphere, estimate the number of stars in the Galaxy.
The radius Rhand mass Mh of a black hole are related by R₁ = 2GM₁/c², where c is the speed of light. Assume that the gravitational acceleration as of an object at a distance r= 1.001Rh from the center of a black hole is given by ag = GM/r² (it is, for large black holes). (a) In terms of Mh, find ag at ro. (b) Does sag at ro increase or decrease as M₁ increases? (c) What is ag at ro for a very large black hole whose mass is 1.54 × 10¹3 times the solar mass of 1.99 × 10³⁰ kg? (d) If an astronaut with a height of 1.66 m is at råwith her feet toward this black hole, what is the difference in gravitational acceleration between her head and her feet ahead-afeet? (e) Is the tendency to stretch the astronaut severe?
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