https:// lledugenwileyplus.com/edugen/stude uni Halliday, Fundamentals of Physic

Question

https:// lledugenwileyplus.com/edugen/stude uni Halliday, Fundamentals of Physics, 10e PHYSICS FOR SCIENCE AND ENGINEERING (PHYs 2110/2120) Assignment Gradebook ORION Chapter 13 Problem 018 Mountain pul. A large mountain can slightly armeet the direction or down" as determined by a plumb line. Assume that we can madel a mountain as a sphere of radius R 2.00 km and densty (mass per unit volume) 2.6 x 103 kg/m3 Assume also that we hang a 0.250m plumb kne at a distance of 3R from the sphere's center and such that the sphere pulls horizontally on the lower end. How far would the lower end move toward the sphere? the tolerance is +/-2% Click if you would like to Show Work for this question this Question Assistance, you will learn while you earn points based on the Point PotentialPolicy set by your instructor. Question Attempts: Eam Maximum Poins available only ir vou attempts or less. Copyright o 2000-20 ov Dahn Wiley s sens, Inc. or related companies All rights reserved. Aa Rights Reserved MacBook Air

Explanation / Answer

Gravitational force = (GMm)/(r2) where G is gravitational constant; M is mass of mountain; m is plumb rock mass; and r is the distance between center of mountain and plumb rock

FgM = (6.67 x 10-11 x (2.6 x 103 x 4/3 x 3.142 x 8 x 109 x m))/(36 x 106) = .0001614m

W = mg = 9.81m

visibly, FgM <<< W whatever the mass m be

so the plumb rock will move only slightly

the angle (theta) by which it'll move will be arcsin(FgM/W) = 1.64525994 × 10-5 rad

Thus it'll move by (.25)(1.65 x 10-5) = 4.1 micrometer

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.