Prove that the total energy of Earths orbital motion E (mv 2 2) ( GM m r) is equal to one half of its gravitational potential energy ( GM m r), where r is Earths orbit radius ...

Prove that the total energy of Earths orbital motion E = (mv 2 /2) + (-GM

Question:

Prove that the total energy of Earth’s orbital motion E = (mv²/2) + (-GM_Θm/r) is equal to one-half of its gravitational potential energy (-GM_Θm/r), where r is Earth’s orbit radius.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Modern Physics

ISBN: 9781429250788

6th Edition

Authors: Paul A. Tipler, Ralph Llewellyn

See More Books

Question Posted: Feb 17, 2023 08:21 AM

See More Questions

Prove that the total energy of a satellite in orbit around the Earth is given by E = -GMm/2a, where G is the gravitational constant, M is the mass of the Earth, m is the mass of the satellite, and a...
The total energy of a proton passing through a laboratory apparatus is 10.611nJ. What is its speed parameter ? Use the proton mass given in Appendix B under "Best Value," not the commonly remembered...
Is the total energy of the universe becoming more unavailable with time? Explain.
Find a PTLU factorization of the given matrix A. (Enter each matrix in the form [[row 1], [row 2],...], where each row is a comma-separated list.) 0 1 2 -1 4 1 1 3 3 A =
There is a Carnot coefficient of performance (COPC) for an ideal, or Carnot, refrigerator. (a) Show that this quantity is given by (b) What does this tell you about adjusting the temperatures for the...
Besides the measures described, what else can Coca-Cola do to maintain ethical conduct in the countries where it operates? LO3
We dont lose your baggage. Continental Airlines once advertised that it had decreased lost baggage by 100% in the past six months. Do you believe this claim?
Lenox Manufacturing Co. produces and sells specialized equipment used in the petroleum industry. The company is organized into three separate operating branches: Division A, which manufactures and...
An investor purchases a 10 year bond with a face value of $5000, and a coupon rate of 8%. What is the yearly interest rate on this bond? What is the annual coupon payment?
A town council consists of three members who vote every year on their own salary increases. Two Yes Votes are needed to pass the increase. Each member would like a higher salary but would like to...
Given the currently accepted value of the Hubble constant and the fact that the average matter density of the universe is one H atom/m 3 , what creation rate of new H atoms would be necessary in a...
The approximate mass of dust in the Galaxy can be computed from the observed extinction of starlight. Assuming the mean radius of dust grains to be R with a uniform number density n grains/cm 3 , (a)...
Solve the equations in Problems 35. a. 13x = 0 c. 2x 5 11 b. x=0 d. 8-3x = 2
Safeway, Inc., operated 1,739 stores as of January 3, 2009. The following data were taken from the company's annual report. All dollar amounts are in thousands. Required a. Compute Safeway's...
Rich French, the owner of Rich's Fishing Supplies, is surprised at the amount of actual inventory at the end of the year. He thought there should be more inventory on hand based on the amount of...
Carol Lapaz owned a small company that sold boating equipment. The equipment was expensive, and a perpetual system was maintained for control purposes. Even so, lost, damaged, and stolen merchandise...
The following footnote related to accounting for inventory was taken from the 2008 annual report of Wal-Mart, Inc. Inventories The Company values inventories at the lower of cost or market as...
Plot the magnitude and phase of the frequency response of normalized n-th order lowpass Butterworth filters.
Since 1970, which measure of the money supply has grown more rapidly, M1 or M2? Briefly explain why. Has the growth of M1 been more or less stable than the growth rate of M2?
The Zwatch Company manufactures trendy, high-quality moderately priced watches. As Zwatch's senior financial analyst, you are asked to recommend a method of inventory costing. The CFO will use your...
A 5.00-kg box sits at rest at the bottom of a ramp that is 8.00 m long and that is inclined at 30.0 o above the horizontal. The coefficient of kinetic friction is k = 0.40, and the coefficient of...
Two boxes connected by a light horizontal rope are on a horizontal surface, as shown in Fig. P5.35. The coefficient of kinetic friction between each box and the surface is Î¼ k = 0.30....
A 6.00-kg box sits on a ramp that is inclined at 37.0 o above the horizontal. The coefficient of kinetic friction between the box and the ramp is k = 0.30. What horizontal force is required to move...
thumbs up if correct A stock paying no dividends is priced at $154. Over the next 3-months you expect the stock torpeither be up 10% or down 10%. The risk-free rate is 1% per annum compounded...
Question 17 2 pts Activities between affiliated entities, such as a company and its management, must be disclosed in the financial statements of a corporation as O significant relationships O segment...
Marchetti Company, a U.S.-based importer of wines and spirits, placed an order with a French supplier for 1,000 cases of wine at a price of 200 euros per case. The total purchase price is 200,000...

Prove that the total energy of Earths orbital motion E = (mv 2 /2) + (-GM

Question:

Step by Step Answer:

E 12mv GmM Ir O or ...View the full answer

Modern Physics

Students also viewed these Physics questions