Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

$\cdot$ Calculate the location of the center of mass of the earth-moon system (that is, find the distance of the center of mass from the earth's center). Use data from Appendix E and assume the orbital radius of the moon is equal to the distance between the centers of the earth and the moon. What can you say about the position of the center of mass with respect to the earth's surface?

4670 $\mathrm{km}$

Physics 101 Mechanics

Chapter 8

Momentum

Physics Basics

Kinetic Energy

Potential Energy

Energy Conservation

Moment, Impulse, and Collisions

Cornell University

Rutgers, The State University of New Jersey

Simon Fraser University

University of Winnipeg

Lectures

03:23

In physics, mechanical energy is the sum of the kinetic and potential energies of a system.

04:05

In physics, a conservative force is a force that is path-independent, meaning that the total work done along any path in the field is the same. In other words, the work is independent of the path taken. The only force considered in classical physics to be conservative is gravitation.

01:54

Center of Mass of the Eart…

02:26

Find the center of mass be…

03:04

How far is the center of m…

03:05

(a) Find the center of mas…

01:18

(a) How far is the center …

01:37

How far from Earth's …

02:01

04:15

Find the following center-…

01:38

The mass of the Earth is $…

02:38

04:16

Earth-Moon Center of Mass …

05:51

(a) Treating Sun and Earth…

this question asks us to calculate the distance of the center of mass of the Earth moon system from the center of the earth. Given the mass of the earth, the mass of the moon ends the distance between them. So we want toe sets, the center of the earth to be the origin of our coordinate system here. So then calculating the center of mass, you just need to remember the formula for it. So when you have two objects, the location of the center of mass, with respects to some given origin is the mass of object, one times the distance of object one from that origin, plus the massive object two times the distance of object to from the origin divided by this some of their masses. So here it's really easy. Let's say that mass one is the earth mass to is the moon, So the possession of the center of mass is then X 10 So we can actually ignore this entire first term if we're taking three Earth to be mass one. So it's simply the mass of the moon. So 7.35 times 10 22 kilograms times its distance from the center of the earth, 3.84 times 10 to the eighth meters, divided by some of their masses. So 5.97 times 10 to 24 kilograms plus 7.35 times 10 to 22 kilograms. Eso all we need to do is put this into a calculator to find that the location of the center of mass from the center of the earth is four 0.67 times 10 to the six meters and the radius of the earth is small enough compared to this distance that it doesn't actually that it doesn't actually factor into this distance because this, with three significant figures, will be out here somewhere. And it won't make a difference to this result. That's it for this question.

View More Answers From This Book

Find Another Textbook

04:26

. Two identical objects traveling in opposite directions with the same speed…

03:46

$\bullet$ The equation describing a transverse wave on a string is$$y(x,…

02:48

Electricity through the body, I. A person with a body resistance of 10 $\mat…

04:34

$\cdot$ On an old-fashioned rotating piano stool, a woman sits holding a pai…

05:59

What is the ratio of the gravitational pull of the sun on the moon to that o…

06:33

$\bullet$ The speed of hailstones. Although the altitude may varyconside…

03:03

Transverse waves on a string have wave speed $8.00 \mathrm{m} / \mathrm{s},$…

03:33

$\bullet$ A 61 kg skier on level snow coasts 184 m to a stop froma speed…

$\bullet$ In 1.00 second an automatic paintball gun can fire 15 balls, each …

03:55

Bones and muscles. A patient in therapy has a forearm that weighs 20.5 $\mat…