Explanation 1) Concept: We can find the force exerted on particle A due to particle c ( F A C ) from the net force acting on A and the force exerted on particle A due to particle B ( F A B ) . From the x component on the net force acting on A, we can find the x component of position vector r A C , which is the x-coordinate of particle C. Then we can easily find its y-coordinate. 2) Given: i) The mass of particle A is 6 g = 6 × 10 - 3 k g . ii) The mass of particle B is 12 g = 12 × 10 - 3 k g . iii) The mass of particle C is 8 g = 8 × 10 - 3 k g . iv) The distance between particle A and B is d A B = r A B = 0.5 m . v) The net force acting on A is F n e t = 2 . 77 × 10 - 14 N a t a n a n g l e o f - 163.8 ° f r o m + x a x i s . 3) Formula: F = G M m r 2 4) Calculations: a) The force acting on particle A due to particle B is F A B = G m A m B r A B 2 F A B = 6.67 × 10 - 11 6 × 10 - 3 12 × 10 - 3 0.5 2 F A B = 1.92 × 10 - 14 N The net force acting on particle A due to particle B and C can be written as F n e t = F A B 2 + F A C 2 F A C 2 = F n e t 2 - F A B 2 F A C 2 = 2.77 × 10 - 14 2 - 1.92 × 10 - 14 2 F A C 2 = 3.99 × 10 - 28 F A C = 2 × 10 - 14 N The force acting on particle A due to particle C is F A C = G m A m C r A C 2 2 × 10 - 14 = 6.67 × 10 - 11 6 × 10 - 3 8 × 10 - 3 r A C 2 r A C 2 = 0

11th Edition

ISBN: 9781119472780

Author: Halliday

Publisher: WILEY

See similar textbooks

Concept explainers

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force betwe…

Question

Chapter 13, Problem 14P

To determine

To find :

a) The x-coordinate of particle C.

b) The x-coordinate of particle C.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13, Problem 13P

Chapter 13, Problem 15P

Students have asked these similar questions

If the car in the previous problem increases its power output by 10% (by pressing the gas pedal farther down), at what rate will the car accelerate? Hint: Consider the net force. In the previous problem the power was 31.8kW

What power is required (at the wheels) for a 1400 kg automobile to climb a 4% grade at a constant speed 30 m/s while it is opposed by drag and rolling resistance forces totaling 500 N?

No chatgpt pls will upvote

Chapter 13 Solutions

FUNDAMENTALS OF PHYSICS,AP ED.

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 x-coordinate of particle C. b) The x-coordinate of particle C.

Solution Summary: The author explains how to find the x-coordinate of particle C from the net force acting on A and the force exerted on particle B.

Concept explainers

To find : a) The x-coordinate of particle C. b) The x-coordinate of particle C.

Want to see the full answer?

Chapter 13 Solutions

To find :

a) The x-coordinate of particle C.

b) The x-coordinate of particle C.