Question: It takes 27 days for the Moon to orbit the Earth in a nearly circular orbit of radius 3.80 x 105 km. (a) Show in

It takes 27 days for the Moon to orbit the Earth in a nearly circular orbit of radius 3.80 x 105 km.
(a) Show in symbol notation that the mass of the Earth can be found using these data.
(b) Compute the Earth’s mass and com-pare with the value given inside the back cover of the book.

Step by Step Solution

★★★★★

3.43 Rating (181 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Applying Newtons 2nd law to the Moon with m the mass of the Moon M the mass of ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

530-P-M-C-M (218).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

Twelve nucleons are in a one-dimensional infinite square well of length L = 3 fm. (a) Using the approximation that the mass of a nucleon is 1 u, find the lowest energy of a nucleon in the well....

The earth orbits the sun once a year (3.16 107s) in a nearly circular orbit of radius 1.50 1011 m. With respect to the sun, determine (a) The angular speed of the earth, (b) The tangential speed of...

The earth moves around the sun in a nearly circular orbit of radius 1.50 1011 m. During the three summer months (an elapsed time of 7.89 106 s), the earth moves one-fourth of the distance around...

The power radiated by the sun is 3.9 1026 W. The earth orbits the sun in a nearly circular orbit of radius 1.5 1011 m. The earth's axis of rotation is tilted by 27 relative to the plane of the...

Measuring the Mass of Jupiter from Kepler's 3 rd Law Introduction In this lab, we will be determining the mass of Jupiter by measuring the orbital parameters of its moons and applying them to...

9. A ball was thrown towards a cliff of height h with a speed of 30 m's at an angle of 60 above the horizontal. It lands on the edge of the cliff 4.0 s later. (a) How high was the cliff? (b) What was...

The references: Newton's Law of Gravitation shows that to find the force of gravity (Fy) between Earth and any other object, we can use =% where m, represents the mass of Earth, m represents the mass...

1. Lincoln is driving a remote controlled car around a circular track. The car is traveling at a constant speed of 8.3 m/s, and the track has a radius of 9.6 m. What is the car's centripetal...

Problem 7: A HIM-kg spaceship is in a circular orbit 210 km above the surface of Earth. It needs to be moved into a higher circular orbit of 3'80 km to link up with the space station at that...

In track and field, the hammer throw involves spinning a 7.26 kg ball attached to a 1.21 m wire in a circle, and then throwing it as far as possible. During the spinning phase, if the ball is...

(6%) Problem 2: A hoop rolls down a 4.75 m high hill without slipping. Randomized Variables d=4.75m I (it, What is the nal speed of the hoop, in meters per second? (12%) Problem 5: The planet Earth...

5. Other Postemployment Benefits (OPEB) numbers are similar to defined benefit plans and are usually included in the same footnote(s). The 2016 year-end OPEB balances are stated below (in millions)....

Fowler Corporation divides its operations into three regions: American, European, and Asian. The following items appear in the companys responsibility report. European directors salary Revenues of...

Requirement 1. Prepare Mystic Movie Theater Company's statement of cash flows for the year ended November 30, 2018, using the indirect method to repert cash flows from aperating activities. Report...

Review the following incomplete statements about standard costing and related issues. a. A(n) ______ standard allows for normal and efficient operations and takes into consideration typical...

On September 18, 2016, Gerald received land and a building from Frank as a gift. Frank's adjusted basis and the fair market value at the date of the gift are as follows: No gift tax was paid on the...

The variable manufacturing costs per unit of Crystal Clear Corporation are as follows: 1. Prepare income statements for Crystal Clear in January, February, and March 2014 under throughput costing. 2....

Southern Rim Parts estimates its manufacturing overhead to be $495,000 and its direct labor costs to be $900,000 for year 1. The first three jobs that Southern Rim worked on had actual direct labor...

Use the information from the Fun Time Cruiseline Data Set. 1. Suppose Fun Time Cruiseline cuts its dinner cruise ticket price from $50 to $45 to increase the number of passengers. Compute the new...

15.18 If a company prepares budgeted income statements and balance sheets, why is a cash budget necessary?

How much heat is required to boil away 1.50 kg of water that is initially at 100oC?

(a) Converting 1.0 kg of water at 100oC to steam at 100oC requires (1) more heat, (2) the same amount of heat, (3) less heat than converting 1.0 kg of ice at to water at 0oC. Explain. (b) Calculate...

Water is boiled to add moisture to the air in the winter to help a congested person breathe better. Calculate the heat required to boil away 1.0 L of water that is initially at 50oC.

Job is determined that he can afford to pay $800 per month toward purchasing a new convertible sports car. Job notices an advertisement in the paper for a bank loan at the rate of 8% pa and he wants...

Calculate the IQR for the boxplot shown. Make up a data set (n = 10) that has the same minimum value, same median, and same maximum value, but a larger IQR than the boxplot shown. Describe your...

A) Following the linear regression of the number of office visits on three binary indicator variables, Midwest, South, and West, that are 1 if the respondent lived in that region and 0 otherwise....