FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 13, Problem 3P
To determine
To find:
What must be the separation between the two particles?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Scientists design a new particle accelerator in which protons with mass m= 1.7x 10^−27 (kg) follow a circular trajectory given by r =ccos(kt^2)i+ csin(kt^2)j where c= 5.0 (m) and k= 8.0 x10^4 (radius/s^2) are constants and t is the elapsed time. a) what is the radius of the circle? b) what is the proton’s speed at t = 3.0 s?
c) what is the force on the proton at t = 3.0 s? Give your answer in component form.
Two particles of equal mass (m) move in a
circle of radius (r) under the action of their
mutual gravitational attraction. The speed of
each particle is
GM
(a)
2r
GM
(b)
4r
Mr
(c)
V 2G
4r
(d)
V GM
You are standing on the surface of a planet that has sphericalsymmetry and a radius of 5.00 * 10^6 m. The gravitational potential energyU of the system composed of you and the planet is -1.20 * 10+9 Jif we choose U to be zero when you are very far from the planet. Whatis the magnitude of the gravity force that the planet exerts on you whenyou are standing on its surface?
Chapter 13 Solutions
FUNDAMENTALS OF PHYSICS - EXTENDED
Ch. 13 - Rank the four systems of equal- mass particles...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 - SSM WWW We want to position a space probe along a...Ch. 13 - GO Three dimensions. Three point particles are...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 - Two concentric spherical shells with uniformly...Ch. 13 - A solid sphere has a uniformly distributed mass of...Ch. 13 - Prob. 26PCh. 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 - Zero, a hypothetical planet, has a mass of 5.0 ...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 - 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 - In 1610, Galileo used his telescope to discover...Ch. 13 - In 1993 the spacecraft Galileo sent an image Fig....Ch. 13 - Prob. 57PCh. 13 - Three identical stars of mass M form an...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 - Prob. 70PCh. 13 - Prob. 72PCh. 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. 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 - Prob. 90PCh. 13 - Prob. 91PCh. 13 - Prob. 92PCh. 13 - Prob. 93PCh. 13 - Prob. 94PCh. 13 - Prob. 95PCh. 13 - Prob. 96P
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
- Calculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?arrow_forwardCompute directly the gravitational force on a unit mass at a point exterior to a homogeneous sphere of matter.arrow_forwardSuppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2arrow_forward
- A system consists of five particles. How many terms appear in the expression for the total gravitational potential energy of the system? (a) 4 (b) 5 (c) 10 (d) 20 (e) 25arrow_forwardWhat is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?arrow_forward(a) Show that tidal force on a small object of mass m, defined as the difference in the gravitational force that would be exerted on m at a distance at the near and the far side of the object, due to the gravitational at a distance R from M, is given by Ftidal=2GMmR3r where r is the distance between the near and far side and rR .(b) Assume you are fallijng feet first into the black hole at the center of our galaxy. It has mass of 4 million solar masses. What would be the difference between the force at your head and your feet at the Schwarzschild radius (event horizon)? Assume your feet and head each have mass 5.0 kg and are 2.0 m apart. Would you survive passing through the event horizon?arrow_forward
- In Fig. 13-32, a square of edge length mị 20.0 cm is formed by four spheres of masses m; = 5.00 g, m, = 3.00 g, m3 = 1.00 g, and m4 = 5.00 g. In unit-vector notation, what is the net gravitational force from them on a central sphere with mass m, = 2.50 g? •7 One dimension. In Fig. 13-33, two point particles are fixed on an x axis sepa- mg roted bu dictonged Porticle 4 hor morc m •6arrow_forwarda) If the legendary apple of Newton could be released from rest at a height of 4.2 m from the surface of a neutron star with a mass 2.2 times that of our sun (whose mass is 1.99 x 1030 kg) and a radius of 23 km, what would be the apple's speed when it reached the surface of the star? (b) If the apple could rest on the surface of the star, what would be the difference between the gravitational acceleration at the top and at the bottom of the apple? Take the apple to be a sphere with a radius of 3.4 cm.arrow_forward(a) Evaluate the gravitational potential energy between two 5.00-kg spherical steel balls separated by a center-to-center distance of 15.0 cm. (b) Assuming that they are both initially at rest relative to each other in deep space, use conservation of energy to find how fast will they be traveling upon impact. Each sphere has a radius of 5.10 cm.arrow_forward
- (a) Evaluate the gravitational potential energy (in J) between two 6.00 kg spherical steel balls separated by a center-to-center distance of 19.0 cm. (b) Assuming that they are both initially at rest relative to each other in deep space, use conservation of energy to find how fast (in m/s) will they each be traveling upon impact. Each sphere has a radius of 5.20 cm. m/sarrow_forwardOne of your summer lunar space camp activities is to launch a 1130 kg rocket from the surface of the Moon. You are a serious space camper and you launch a serious rocket: it reaches an altitude of 217 km. What gain AU in gravitational potential energy does the launch accomplish? The mass and radius of the Moon are 7.36 × 1022 kg and 1740 km, respectively. AU = Jarrow_forwardWhat must the separation be between a 5.2 kg particle and a 2.4 kg particle for their gravitational attraction to have a magnitude of 2.3 * 10-12 N?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning