Explanation 1) Concept: We can find the difference between acceleration due to gravity at r = 50 R h and r = 50 R h + r . Using this, we can find the mass of the black hole. Also we can estimate whether our body can tolerate upper lime or lower limit. 2) Given: i) The radius of black hole is R h = 2 G M c 2 ii) The distance of black hole from event horizon is 50 R h . iii) Maximum difference in gravitational acceleration between your feet and head is d a g = 10 m / s 2 3) Formulae: i) F = G M m r 2 ii) F = m a g 4) Calculations: a) Equating the gravitational force of attraction and the gravitational force by Newton’s second law, we get G M m r 2 = m a g This gives a g = G M r 2 Maximum difference in gravitational acceleration between your feet and head is d a g = d G M r 2 d a g = 2 G M r 3 d r d a g = 2 G M 50 R h + h 3 d r = 10 Since h < < 50 R h , we can write h ~ d R and 50 R h + h ~ 50 R h

10th Edition

ISBN: 9781118230725

Author: David Halliday, Robert Resnick, Jearl Walker

Publisher: Wiley, John & Sons, Incorporated

See similar textbooks

Concept explainers

Stellar evolution

We may see thousands of stars in the dark sky. Our universe consists of billions of stars. Stars may appear tiny to us but they are huge balls of gasses. Sun is a star of average size. Some stars are even a thousand times larger than the sun. The stars d…

Red Shift

It is an astronomical phenomenon. In this phenomenon, increase in wavelength with corresponding decrease in photon energy and frequency of radiation of light. It is the displacement of spectrum of any kind of astronomical object to the longer wavelengths…

Question

Chapter 13, Problem 70P

To determine

To find:

a) The limit to the mass of the black hole as a multiple of sun’s mass Ms you can tolerate at the given radial distance (your height).

b) Whether the limit is an upper limit or a lower limit.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13, Problem 69P

Chapter 13, Problem 71P

Students have asked these similar questions

Four charges, qa, qb, qa, and qd are fixed at the corners of a square. A charge q that is free to move located at the exact center of the square. Classify the scenarios described according to the force that would be exerted on the center charge q. Assume in each case that q is a positive charge. Do not assume that the fixed charges have equal magnitudes unless the scenario defines such an equality. qa Яс q %b Force is zero Force is to the left Force is to the right Force is undetermined

Charge qi = -q is located at position (0, d). Charge q = −2q₁ is located at position (d,0). Charge q3 = located at position (2d, 2d). 5qi is y Determine the net electric field Ĕ net at the origin. Enter your expression using ij unit vector notation in terms of the given quantities, the permittivity of free space €0, and exact rational and irrational numbers. d 9₁ d TH net = 92 d d X

solve please

Chapter 13 Solutions

Fundamentals of Physics Extended

Ch. 13 - In Fig. 13-21, a central particle of mass M is...Ch. 13 - Prob. 2Q Ch. 13 - In Fig. 13-23, a central particle is surrounded by...Ch. 13 - In Fig. 13-24, two particles, of masses m and 2m,...Ch. 13 - Prob. 5Q Ch. 13 - In Fig. 13-26, three particles are fixed in place....Ch. 13 - Rank the four systems of equal- mass particles...Ch. 13 - Figure 13-27 gives the gravitational acceleration...Ch. 13 - Figure 13-28 shows three particles initially fixed...Ch. 13 - Figure 13-29 shows six paths by which a rocket...

Ch. 13 - Figure 13-30 shows three uniform spherical planets...Ch. 13 - In Fig. 13-31, a particle of mass m which is not...Ch. 13 - ILW A mass M is split into two parts, m and M m,...Ch. 13 - Moon effect. Some people believe that the Moon...Ch. 13 - Prob. 3P Ch. 13 - The Sun and Earth each exert a gravitational force...Ch. 13 - Miniature black holes. Left over from the big-bang...Ch. 13 - GO In Fig. 13-32, a square of edge length 20.0 cm...Ch. 13 - One dimension. In Fig. 13-33, two point particles...Ch. 13 - In Fig. 13-34, three 5.00 kg spheres are located...Ch. 13 - SSM WWW We want to position a space probe along a...Ch. 13 - Prob. 10P Ch. 13 - As seen in Fig. 13-36, two spheres of mass m and a...Ch. 13 - GO In Fig. 13-37a, particle A is fixed in place at...Ch. 13 - Figure 13-38 shows a spherical hollow inside a...Ch. 13 - Prob. 14P Ch. 13 - GO Three dimensions. Three point particles are...Ch. 13 - GO In Fig. 13-40, a particle of mass m1 = 0.67 kg...Ch. 13 - a What will an object weigh on the Moons surface...Ch. 13 - Mountain pull. A large mountain can slightly...Ch. 13 - SSM At what altitude above Earths surface would...Ch. 13 - Mile-high building. In 1956, Frank Lloyd Wright...Ch. 13 - ILW Certain neutron stars extremely dense stars...Ch. 13 - Prob. 22P Ch. 13 - Prob. 23P Ch. 13 - Two concentric spherical shells with uniformly...Ch. 13 - A solid sphere has a uniformly distributed mass of...Ch. 13 - Prob. 26P Ch. 13 - Figure 13-42 shows, not to scale, a cross section...Ch. 13 - Prob. 28P Ch. 13 - Prob. 29P Ch. 13 - In Problem 1, what ratio m/M gives the least...Ch. 13 - SSM The mean diameters of Mars and Earth are 6.9 ...Ch. 13 - a What is the gravitational potential energy of...Ch. 13 - Prob. 33P Ch. 13 - Prob. 34P Ch. 13 - GO Figure 13-44 shows four particles, each of mass...Ch. 13 - Zero, a hypothetical planet, has a mass of 5.0 ...Ch. 13 - GO The three spheres in Fig, 13-45, with masses mA...Ch. 13 - In deep space, sphere A of mass 20 kg is located...Ch. 13 - Prob. 39P Ch. 13 - A projectile is shot directly away from Earths...Ch. 13 - SSM Two neutron stars arc separated by a distance...Ch. 13 - GO Figure 13-46a shows a particle A that can he...Ch. 13 - a What linear speed must an Earth satellite have...Ch. 13 - Prob. 44P Ch. 13 - The Martian satellite Photos travels in an...Ch. 13 - The first known collision between space debris and...Ch. 13 - Prob. 47P Ch. 13 - The mean distance of Mars from the Sun is 1.52...Ch. 13 - Prob. 49P Ch. 13 - Prob. 50P Ch. 13 - Prob. 51P Ch. 13 - The Suns center is at one focus of Earths orbit....Ch. 13 - A 20 kg satellite has a circular orbit with a...Ch. 13 - Prob. 54P Ch. 13 - In 1610, Galileo used his telescope to discover...Ch. 13 - In 1993 the spacecraft Galileo sent an image Fig....Ch. 13 - Prob. 57P Ch. 13 - Prob. 58P Ch. 13 - Three identical stars of mass M form an...Ch. 13 - In Fig. 13-50, two satellites, A and B, both of...Ch. 13 - Prob. 61P Ch. 13 - Prob. 62P Ch. 13 - SSM WWW An asteroid, whose mass is 2.0 10-4 times...Ch. 13 - A satellite orbits a planet of unknown mass in a...Ch. 13 - A Satellite is in a circular Earth orbit of radius...Ch. 13 - One way to attack a satellite in Earth orbit is to...Ch. 13 - Prob. 67P Ch. 13 - GO Two small spaceships, each with mass m = 2000...Ch. 13 - Prob. 69P Ch. 13 - Prob. 70P Ch. 13 - Several planets Jupiter. Saturn, Uranus are...Ch. 13 - Prob. 72P Ch. 13 - Figure 13-53 is a graph of the kinetic energy K of...Ch. 13 - The mysterious visitor that appears in the...Ch. 13 - ILW The masses and coordinates of three spheres...Ch. 13 - SSM A very early, simple satellite consisted of an...Ch. 13 - GO Four uniform spheres, with masses mA = 40 kg,...Ch. 13 - a In Problem 77, remove sphere A and calculate the...Ch. 13 - Prob. 79P Ch. 13 - Prob. 80P Ch. 13 - Prob. 81P Ch. 13 - Prob. 82P Ch. 13 - Prob. 83P Ch. 13 - Prob. 84P Ch. 13 - Prob. 85P Ch. 13 - Prob. 86P Ch. 13 - Prob. 87P Ch. 13 - Prob. 88P Ch. 13 - Prob. 89P Ch. 13 - A 50 kg satellite circles planet Cruton every 6.0...Ch. 13 - Prob. 91P Ch. 13 - A 150.0 kg rocket moving radially outward from...Ch. 13 - Prob. 93P Ch. 13 - Two 20 kg spheres are fixed in place on a y axis,...Ch. 13 - Sphere A with mass 80 kg is located at the origin...Ch. 13 - In his 1865 science fiction novel From the Earth...Ch. 13 - Prob. 97P Ch. 13 - Prob. 98P Ch. 13 - A thin rod with mass M = 5.00 kg is bent in a...Ch. 13 - In Fig. 13-57, identical blocks with identical...Ch. 13 - A spaceship is on a straight-line path between...

Knowledge Booster

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.

a) The limit to the mass of the black hole as a multiple of sun’s mass Ms you can tolerate at the given radial distance (your height). b) Whether the limit is an upper limit or a lower limit.

Solution Summary: The author explains that the limit to the mass of the black hole as a multiple of sun’s mass Ms is 111 solar masses.

Concept explainers

To find: a) The limit to the mass of the black hole as a multiple of sun’s mass Ms you can tolerate at the given radial distance (your height). b) Whether the limit is an upper limit or a lower limit.

Want to see the full answer?

Chapter 13 Solutions

To find:

a) The limit to the mass of the black hole as a multiple of sun’s mass Ms you can tolerate at the given radial distance (your height).

b) Whether the limit is an upper limit or a lower limit.