Description

I need help in these 5 questions,and you just need to choose 4 questions to answer. Additionally , I can provide the text book for you.

3 attachmentsSlide 1 of 3attachment_1attachment_1attachment_2attachment_2attachment_3attachment_3

Unformatted Attachment Preview

1. How far is the moon?

The moon’s orbit around the earth is nearly circular, with a period of 28 days.

Determine how far the moon is from (the center) of the earth using only this

and the following information, which was available to Newton.

a. The gravitational acceleration of the moon caused by the gravitational pull

of the earth is

G MEarth/r?,

where MEarth is the mass of the earth (but the values of G or MEarth were

not known separately).

b. The orbit of the moon (or any satellite, for that matter) is a balance

between the gravitational acceleration and the centrifugal force v2/r. That

is,

G MEarth /r² = 02 /r,

is,

GMEarth/r2 = 02/1.

where v = r ai is the velocity in the angular direction.

c. The gravitational acceleration for an object near the earth’s surface (r = a

= 6,400 km) is known to be g = 980 cm/s2.

2. The mass of the sun

Determine the mass of the sun in units of the earth mass (i.e., find M =

Msun/MEarth) using only the information provided in exercise 1 and the

following information:

a. the period of earth’s orbit is 1 year.

b. the sun-earth distance is, on average, about 1.5 x 108 km.

3. Geosynchronous satellite

If

you want to put a satellite in a geosynchronous orbit (so that the satellite

will always appear to be above the same spot on earth), how high (measured

from the center of the earth) must it be placed? You are given GMg = a_g = 4

x 1020 cm’s-2

4. Weighing a planet

Newton’s law of gravitation and the requirement that the centrifugal

acceleration of a body revolving around a planet should be equal to the

gravitational pull of the planet suggest a way to determine the mass M of any

planet with a satellite or moon. For this exercise you need to know G = 0.67

x 10-7 cm3s-2 gm ?

Determine the mass of a planet when you know only that its moon

revolves around it with a nearly circular orbit with r = 4 x 105 km once

every30 days.

5. Weighing Jupiter

Find the mass of Jupiter, given that its moon Callisto has a mean orbital

radius of 1.88 x 106 km and an orbital period of 16 days and 16.54 hours. For

this exercise you need to know G.

Purchase answer to see full

attachment

Tags:

conditions imply

formula for radius

The Golden Ratio

Phyllotaxis

The Hofmeister Rule

User generated content is uploaded by users for the purposes of learning and should be used following Studypool’s honor code & terms of service.

## Reviews, comments, and love from our customers and community:

This page is having a slideshow that uses Javascript. Your browser either doesn't support Javascript or you have it turned off. To see this page as it is meant to appear please use a Javascript enabled browser.