What would Keplers third law be for circular orbits if an amendment to Newtons law of gravitation

Question:

What would Kepler’s third law be for circular orbits if an amendment to Newton’s law of gravitation made the gravitational force inversely proportional to r³? Would this change affect Kepler’s other two laws? Explain.

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

Step by Step Answer:

Related Book For book-img-for-question

University Physics with Modern Physics

ISBN: 978-0133977981

14th edition

Authors: Hugh D. Young, Roger A. Freedman

See More Books

Question Posted: Oct 11, 2018 12:29 PM

See More Questions

What would the mass of the Sun have to be if Pluto (the outermost "planet" most of the time) were to have the same orbital speed that Mercury (the innermost planet) has now? Use data from Appendix C,...
The astronomical unit AU is defined as the mean distance from the Sun to the Earth (1 AU = 1.50 1011 m). Apply Kepler's third law (Equation 12-7) to the solar system, and show that it can be written...
According to Kepler's third law, the orbital period T of a planet is related to the radius R of its orbit by T2 R3. Jupiter's orbit is larger than Earth's by a factor of 5.19. What is Jupiter's...
The cable is subjected to a uniform loading of w = 60 kN/m. Determine the maximum and minimum tension in cable. -100 m- 12 m
A traveling production of Wicked performs each year. The average show sells 1,400 tickets at $55 a ticket. There are 125 shows each year. The show has a cast of 45, each earning an average of $310...
a. Depreciation on the company's equipment for the year is computed to be $18,000. b. The Prepaid Insurance account had a $6,000 debit balance at December 31 before adjusting for the costs of any...
Give the formula for p1x2 for a binomial random variable with n = 10 and p = .3. LO9
One aspect of the new system under development at Holiday Travel Vehicles will be the direct entry of the sales invoice into the computer system by the salesperson as the purchase transaction is...
Preble Company manufactures one product. Its variable manufacturing overhead is applied to production based on direct labor - hours and its standard cost card per unit is as follows: Direct material:...
Selected financial data for Amberjack Corporation follows. Sales Cost of goods sold Net income Cash flow from operations Cash Marketable securities Accounts receivable Inventories Total current...
In the elliptical orbit of Comet Halley shown in Fig. 13.21a, the suns gravity is responsible for making the comet fall inward from aphelion to perihelion. But what is responsible for making the...
At what point in an elliptical orbit is the acceleration maximum? At what point is it minimum? Justify your answers.
Name some ways that a layout can help or hinder productivity.
What is the length of the partial wavelength for electromagnetic energy with a frequency of 15 MHz and a phase shift of 263 degrees (in meters)?
Let y = f(x) be a function that is differentiable at all real numbers. Suppose f has the form f(x) = {; [cx +6 4+2c for x 1 for x > 1. where b and c are some constants. What is the value of the...
Consider the sequence (n) defined by xn = (a) Show that 0In - n! nn (b) Use the result of part (a) and the Squeeze theorem to show that In 0 and n o.
Officials of Gwinnett County, one of the fastest growing counties in the country, are looking for ways to expand their sewer system. They are considering two alternative sewer designs. All annual...
On August 1, 20Y7, Rafael Masey established Planet Realty, which completed the following transactions during the month: Rafael Masey transferred cash from a personal bank account to an account to be...
Refer to the functions whose graphs are given in Fig. 17. Which functions have a positive second derivative for all x? V (d) Figure 17 x X Y y (b) X x y Y (c) (f) X X
Let (X. A. p) be a measure space. Show that for any A,B A, we have the equality: (AUB)+(An B) = (A) + (B).
A 10.0-L gas tank containing 3.20 moles of ideal He gas at 20.0C is placed inside a completely evacuated, insulated bell jar of volume 35.0 L. A small hole in the tank allows the He to leak out into...
A 4.50-kg block of ice at 0.00C falls into the ocean and melts. The average temperature of the ocean is 3.50C, including all the deep water. By how much does the melting of this ice change the...
A refrigerator has a coefficient of performance of 2.25, runs on an input of 95 W of electrical power, and keeps its inside compartment at 5C. If you put a dozen 1.0-L plastic bottles of water at 31C...
Practicum Co. pad $1.2 million for an 80% interest in the common stock of Sarong Co. Practicum had no previous equity interest in Sarong. On the acquisition date, Sarong's identifiable net assets had...
On Dec 31 2020, Bernice Melson, a partner in ABC Communications, had an ending capital balance of $49,000. Her share of the partnership's profit was $18,000; she made investments of $12,000 and had...
Q2R. on account for each depreciable asset. During 2024, Jane VIIS nsactions.) i More Info Apr. 1 Purchased office equipment. 5111,000. Paid 581,000 cash and financed the remainder Jan. 1 with a note...

What would Keplers third law be for circular orbits if an amendment to Newtons law of gravitation

Question:

Step by Step Answer:

F ma would give Ar 3 mv 2 r where A is a constant v Amr 2 and T 2 rv 2r 2 mA ...View the full answer

University Physics with Modern Physics

Related Video

Students also viewed these Physics questions