Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 22, Problem 34P
To determine
The flux of the gravitational field through a spherical surface of radius
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
How would you solve this:
In the search for the Higgs Boson, it was posited that the potnetial energy storedbetween two higgs particles is given by a 1 dimensional function of the distancebetween the two particles (x) as U(x) = c + ax2 − bx4 where a, b, c are constants.a) Find a function for the force as a function of position.b) what value of position (x) is the equilibrium position in terms of a and b.
In the first decade of the 20th century Jean Perrin carried out important investigations on the sedimentation, in the gravitational field, of particles of gamboges, mastic, and other paint pigments. Consider particles of density 1.2 g.cm-3 and of the following radii: (a) 1 mm, (b) 10 \muμm, and (c) 10 nm. In each case, assuming Stokes’s law to apply, estimate the distance the particle would sediment in 1 hour, in water at 20oC (\etaη = 1.002 x 10-3 kg.m-1.s-1 and ρ = 0.998 g.cm-3). Which of the particles would have the longest sedimentation distance? Which of them would have the shortest sedimentation distance?
A solid copper sphere of mass M and radius R has a cavity of radius ½ R. Inside the cavity a particle of mass m placed a distance d > R from the center of the sphere along the line connecting the centers of the sphere and the cavity. Find the gravitational force on m.
Chapter 22 Solutions
Physics for Scientists and Engineers
Ch. 22 - Prob. 1PCh. 22 - Prob. 2PCh. 22 - Prob. 3PCh. 22 - Prob. 4PCh. 22 - Prob. 5PCh. 22 - Prob. 6PCh. 22 - Prob. 7PCh. 22 - Prob. 8PCh. 22 - Prob. 9PCh. 22 - Prob. 10P
Ch. 22 - Prob. 11PCh. 22 - Prob. 12PCh. 22 - Prob. 13PCh. 22 - Prob. 14PCh. 22 - Prob. 15PCh. 22 - Prob. 16PCh. 22 - Prob. 17PCh. 22 - Prob. 18PCh. 22 - Prob. 20PCh. 22 - Prob. 21PCh. 22 - Prob. 22PCh. 22 - Prob. 23PCh. 22 - Prob. 24PCh. 22 - Prob. 25PCh. 22 - Prob. 26PCh. 22 - Prob. 27PCh. 22 - Prob. 28PCh. 22 - Prob. 29PCh. 22 - Prob. 30PCh. 22 - Prob. 31PCh. 22 - Prob. 32PCh. 22 - Prob. 33PCh. 22 - Prob. 34PCh. 22 - Prob. 35PCh. 22 - Prob. 36PCh. 22 - Prob. 37PCh. 22 - Prob. 38PCh. 22 - Prob. 39PCh. 22 - Prob. 40PCh. 22 - Prob. 41PCh. 22 - Prob. 42PCh. 22 - Prob. 43PCh. 22 - Prob. 44PCh. 22 - Prob. 45PCh. 22 - Prob. 46PCh. 22 - Prob. 47PCh. 22 - Prob. 48PCh. 22 - Prob. 49PCh. 22 - Prob. 50PCh. 22 - Prob. 51PCh. 22 - Prob. 52PCh. 22 - Prob. 53PCh. 22 - Prob. 54PCh. 22 - Prob. 55PCh. 22 - Prob. 56PCh. 22 - Prob. 57PCh. 22 - Prob. 58PCh. 22 - Prob. 59PCh. 22 - Prob. 60PCh. 22 - Prob. 61PCh. 22 - Prob. 62PCh. 22 - Prob. 63PCh. 22 - Prob. 64PCh. 22 - Prob. 65PCh. 22 - Prob. 66PCh. 22 - Prob. 67PCh. 22 - Prob. 68PCh. 22 - Prob. 69PCh. 22 - Prob. 70PCh. 22 - Prob. 71PCh. 22 - Prob. 72PCh. 22 - Prob. 73PCh. 22 - Prob. 74PCh. 22 - Prob. 75PCh. 22 - Prob. 76PCh. 22 - Prob. 77PCh. 22 - Prob. 78PCh. 22 - Prob. 79PCh. 22 - Prob. 80PCh. 22 - Prob. 81PCh. 22 - Prob. 82PCh. 22 - Prob. 83PCh. 22 - Prob. 84PCh. 22 - Prob. 85PCh. 22 - Prob. 86PCh. 22 - Prob. 87PCh. 22 - Prob. 88P
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.Similar questions
- Check Your Understanding Why not use the simpler expression U=mg(y2y1) ? How significant would the error be? (Recall the previous result, in Example 13.4, that the value g at 400 km above the Earth is 8.67m/s2 .)arrow_forwardWith density Y1(unit: kg/m), 3 endless wires are just above the x,y,z axes. Find the gravitational field at (x,y,z) position. NOTE: Give your answer in terms of (x,y,z, ^x, ^y, ^z(unit vectors), G, Y1) A hint is given in the figure.arrow_forwardThe inertial mass of a particle is, by definition, the mass that appears in Newton's second law. Consider free fall of a particle with gravitational mass mº and inertial mass m' near the surface of a homogeneous planet having gravitational mass MC and radius R. Express the gravitational acceleration a of the particle in terms of these quantities. (Neglect any frictional forces.)arrow_forward
- Express the vector field W=(x^2-y^2)i +xzk in cylindrical coordinates at P(6,60degrees,-4).arrow_forwardProblem 1 Consider two celestial bodies of masses m₁ and m2. The bodies only interact gravitationally and can be considered pointlike for the purpose of this problem. (a) List the conserved quantities of the system. (b) For each conserved quantity, state the Noether symmetry responsible for its conservation.arrow_forwardExpress the relations by which you can retrieve the gravitational potential fromgravitational field and vice versa.arrow_forward
- Calculate the force (in N) on an alpha particle (Z of He = 2) passing a gold atomic nucleus (Z of Au = 79) at a distance of 0.00500 Å.arrow_forwardConsider a vector field F = 2 pzap+3z sing ap- 4P cosp az. Evaluate the circulation of F over the path (L) defined by 0arrow_forwardAn electron of mass m is discharged with an initial horizontal velocity of vo. It is subjected to two fields of force for which F, Fo and Fy = 0.3 Fo, where Fo is constant (Figure 1) = Determine the equation of the speed of the electron at any time t Express your answer in terms of the variables m, Fo, vo, t and appropriate constants. Figure A Search v(t)= ΜΕ ΑΣΦ IT vec F ? x Xb IX 120 (X) Xx.10" Submit Previous Answers Request Answer X Incorrect; Try Again Part B Determine the equation of the path of the electron Express your answer in terms of the variables m, Fo,, vo. y and appropriate constants. ΜΕ ΑΣΦ Π vec z(y) Submit Request Answer < Return to Assignment Provide Feedback ?arrow_forwardThree galaxies, each of mass M = 4 ´ 1041 kg, lie in a plane at the corners of an equilateral triangle with sides of 4 ´ 1022 m length. The magnitude of the force the other two galaxies exert on each galaxy is: (write your answer in terms of A x 1027 newtons, and then input only the 'A'))arrow_forwardGiven the vector A = (x2 − y2)i + 2xyj.(a) Find ∇ × A.(b) Evaluate RR (∇ × A) · dσ over a rectangle in the (x, y) plane bounded by the lines x = 0, x = a, y = 0, y = b.(c) Evaluate H A· dr around the boundary of the rectangle and thus verify Stokes’ theorem for this case. Use either Stokes’ theorem or the divergence theorem to evaluate each of the following integrals in the easiest possible way.arrow_forwardK= arsinØ + aØ6cosØ and the quarter circle zone is given. Provide Stokes ' Theorem by finding the rotation of the vector K. note: Take r yi 6.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY