/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q23P One model for a certain planet h... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 13: Q23P (page 380)

One model for a certain planet has a core of radiusR and mass Msurrounded by an outer shell of inner radius R, outer radius 2R, and mass4M. IfM=4.1脳1024kgandR=6.0脳106m, what is the gravitational acceleration of a particle at points (a)R(b)3Rfrom the center of the planet?

Short Answer

Expert verified

a)Thegravitational acceleration of a particle at points R from the center of the planetis7.6鈥�m/s2.

b)Thegravitational acceleration of a particle at points 3R from the center of the planet is4.2鈥�m/s2

Step by step solution

01

Listing the given quantities

Mass of the planetM=4.1脳1024kg

Radius of the planetR=6.0脳106m

02

Understanding the concept of the gravitational acceleration

Here, by using the concept of the gravitational acceleration solve the given problem

Formula:ag=GMR2

03

Calculation of the gravitational acceleration of a particle at points from the center of the planet

(a)

The gravitational acceleration is

g=GMR2=7.6鈥�m/s2

Thegravitational acceleration of a particle at points from the center of the planet is7.6鈥�m/s2

04

Calculation of the gravitational acceleration of a particle at points 3R from the center of the planet

(b)

Note thatthetotal mass is5M. Thus,ag

ag=G(5M)(3R)2=4.2鈥�m/s2

Thegravitational acceleration of a particle at pointsfrom the center of the planet is4.2鈥�m/s2

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The three spheres in Fig. 13-45, with massesmA=80kg, mB=10g, and mC=20g , have their centers on a common line,withL=12cm and d=4.0cm . You move sphereBalong the lineuntil its center-to-center separation fromCis d=4.0cm . Howmuch work is done on sphereB(a) by you and (b) by the net gravitational force onBdue to spheresAandC?

Mountain pulls.A large mountain can slightly affectthe direction of 鈥渄own鈥� as determined by a plumb line. Assumethat we can model a mountain as a sphere of radiusR=2.00kmand density (mass per unit volume).2.6脳103kg/m3Assume alsothat we hang a 0.50mplumb line at a distance offrom the sphere鈥檚 centre and such that the sphere pulls horizontally on thelower end. How far would the lower end move toward the sphere?

what altitude above Earth鈥檚 surface would the gravitational acceleration be4.9m/s2?

Mile-high building.In 1956, Frank Lloyd Wright proposed the construction of a mile-high building in Chicago. Suppose the building had been constructed. Ignoring Earth鈥檚 rotation, find the change in your weight if you were to ride an elevator from the street level, where you weigh600N, to the top of the building.

Figure 13-22 shows three arrangements of the same identical particles, with three of them placed on a circle of radius 0.20mand the fourth one placed at the center of the circle. (a) Rank the arrangements according to the magnitude of the net gravitational force on the central particle due to the other three particles, greatest first. (b) Rank them according to the gravitational potential energy of the four-particle system, least negative first.
See all solutions

Recommended explanations on Physics Textbooks

Fluids

Read Explanation

Torque and Rotational Motion

Read Explanation

Mechanics and Materials

Read Explanation

Famous Physicists

Read Explanation

Electromagnetism

Read Explanation

Fields in Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.