/*! 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} Q43. Determine the distance from the ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q43. (page 134)

Determine the distance from the Earth鈥檚 center to a point outside the Earth where the gravitational acceleration due to the Earth is110of its value at the Earth鈥檚 surface.

Short Answer

Expert verified

The distance from the Earth鈥檚 centre is 2.01脳107m.

Step by step solution

01

Step 1. Given Data

The gravitational acceleration due to the Earth is 110of its value at the Earth鈥檚 surface.

02

Step 2. Understanding the relation of acceleration due to gravity

In this problem, the general relation of the acceleration due to gravity of the Earth will be used.

03

Step 3. Estimating the distance from the Earth’s centre

The relation of gravitational accelerationis given by,

g=110gsGmEr2=110GmErE2r2=10rE2

Here, mEis the mass of the Earth, r is the distance from the centre, G is the gravitational constant and rEis the radius of the Earth.

On plugging the values in the above relation.

r2=106.38脳106m2r=2.01脳107m

Thus, r=2.01脳107mis the required distance.

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

A car drives straight down toward the bottom of a valley and up the other side on a road whose bottom has a radius of curvature of 115 m. At the very bottom, the normal force on the driver is twice his weight. At what speed was the car traveling?

Determine the time it takes for a satellite to orbit the Earth in a circular near-Earth orbit. A 鈥渘ear-Earth鈥� orbit is at a height above the surface of the Earth that is very small compared to the radius of the Earth. [Hint. You may take the acceleration due to gravity as essentially the same as that on the surface.] Does your result depend on the mass of the satellite?

A pilot performs an evasive maneuver by diving vertically at 270 m/s. If he can withstand an acceleration of 8.0 g鈥檚 without blacking out, at what altitude must he begin to pull his plane out of the dive to avoid crashing into the sea?

Calculate the effective value of g, the acceleration of gravity, at (a) 6400 m, and (b) 6400 km, above the Earth鈥檚 surface.

(II) Planet A and planet B are in circular orbits around a distant star. Planet A is 7.0 times farther from the star than is planet B. What is the ratio of their speeds \({v_A}/{v_B}\)?
See all solutions

Recommended explanations on Physics Textbooks

Physical Quantities And Units

Read Explanation

Electricity and Magnetism

Read Explanation

Radiation

Read Explanation

Physics of Motion

Read Explanation

Torque and Rotational Motion

Read Explanation

Particle Model of Matter

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.