Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 13, Problem 69P
To determine
To find:
Time taken by cantaloupe to reach the floor
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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?
At what altitude h above the north pole is the weight of an object reduced to 27% of its earth-surface value? Assume a spherical earth
of radius R and express h in terms of R.
Answer: h= i
R.
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and levitates at height h directly above the center of the disc. The gravitational force
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F =
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(R² + h²)1/2
Assume h < R and think of F as a function of h, with the other quantities constant.
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Chapter 13 Solutions
Fundamentals of Physics Extended
Ch. 13 - In Fig. 13-21, a central particle of mass M is...Ch. 13 - Prob. 2QCh. 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. 5QCh. 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. 3PCh. 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. 10PCh. 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. 14PCh. 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. 22PCh. 13 - Prob. 23PCh. 13 - Two concentric spherical shells with uniformly...Ch. 13 - A solid sphere has a uniformly distributed mass of...Ch. 13 - Prob. 26PCh. 13 - Figure 13-42 shows, not to scale, a cross section...Ch. 13 - Prob. 28PCh. 13 - Prob. 29PCh. 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. 33PCh. 13 - Prob. 34PCh. 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. 39PCh. 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. 44PCh. 13 - The Martian satellite Photos travels in an...Ch. 13 - The first known collision between space debris and...Ch. 13 - Prob. 47PCh. 13 - The mean distance of Mars from the Sun is 1.52...Ch. 13 - Prob. 49PCh. 13 - Prob. 50PCh. 13 - Prob. 51PCh. 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. 54PCh. 13 - In 1610, Galileo used his telescope to discover...Ch. 13 - In 1993 the spacecraft Galileo sent an image Fig....Ch. 13 - Prob. 57PCh. 13 - Prob. 58PCh. 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. 61PCh. 13 - Prob. 62PCh. 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. 67PCh. 13 - GO Two small spaceships, each with mass m = 2000...Ch. 13 - Prob. 69PCh. 13 - Prob. 70PCh. 13 - Several planets Jupiter. Saturn, Uranus are...Ch. 13 - Prob. 72PCh. 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. 79PCh. 13 - Prob. 80PCh. 13 - Prob. 81PCh. 13 - Prob. 82PCh. 13 - Prob. 83PCh. 13 - Prob. 84PCh. 13 - Prob. 85PCh. 13 - Prob. 86PCh. 13 - Prob. 87PCh. 13 - Prob. 88PCh. 13 - Prob. 89PCh. 13 - A 50 kg satellite circles planet Cruton every 6.0...Ch. 13 - Prob. 91PCh. 13 - A 150.0 kg rocket moving radially outward from...Ch. 13 - Prob. 93PCh. 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. 97PCh. 13 - Prob. 98PCh. 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...
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