Download the App!

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

Question

Answered step-by-step

The Clementine spacecraft described an elliptic orbit of minimum altitude $h_{A}=400 \mathrm{km}$ and maximum altitude $h_{B}=2940 \mathrm{km}$ above the surface of the moon. Knowing that the radius of the moon is $1737 \mathrm{km}$ and that the mass of the moon is 0.01230 times the mass of the earth, determine the periodic time of the spacecraft.

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Khoobchandra Agrawal

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Physics 101 Mechanics

Chapter 12

Kinetics of Particles: Newton’s Second Law

Newton's Laws of Motion

Cornell University

University of Michigan - Ann Arbor

University of Washington

University of Winnipeg

Lectures

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

09:37

Isaac Newton (4 January 1643 – 31 March 1727) was an English mathematician, physicist, astronomer, theologian, and author (described in his own day as a "natural philosopher") who is widely recognised as one of the most influential scientists of all time and a key figure in the scientific revolution. His book Philosophiæ Naturalis Principia Mathematica ("Mathematical Principles of Natural Philosophy"), first published in 1687, laid the foundations of classical mechanics. Newton also made seminal contributions to optics, and he shares credit with Gottfried Wilhelm Leibniz for developing the infinitesimal calculus.

02:33

A spacecraft is orbiting j…

01:40

Earth's moon has an a…

02:17

A spacecraft is describing…

10:56

A $500-\mathrm{kg}$ spacec…

06:36

Whenever two Apollo astron…

everyone here it is. Given element time. Spacecraft described elliptical orbit with minimum altitude. 400 kilometer and maximum amplitude. Sorry altitude 2940 kilometer have of the surface of the moon radius of the moon is given 1737 kilometers and mark off moon it Find the beautiful 123 times that of the earth. Calculate the riptide for art. G m. It's called G R Square, that is 9.81 in tow. 656 737 Turned to the power six. It is 3. 98.6 Tend to the power 12 meter cubed per second square for months G while the 00 123 years math of the art 398 while 06 So this valley you will get a four point 8964.8 96 in tow. 10 to the power 12 meter queue for second square. I mean are a 1737 plus altitude. Yeah, it will be 2137 kilometer are 2.137 tent of our 6 m. Similarly, are we? You will find 1737 plus 2940 that is 46 double seven kilometers on in meter. Be with right, 4.6 double seven. 10 to the power 6 m. No. One upon our a Young better than its the M upon 80 square unless see cars off. Peter eight on burn upon our weekend. Britain's the M upon 80 square C pillars. Horse off data be here. Peter B. Is Uh huh 1 80 plus theater A. But for one upon are weak and return it GM upon 80 square minus. See into cars off Peter A adding bar entry one. Upon our A plus, Bon upon RV. It's called toe price off GM upon edges square. So from here, edge ability toe gm are a in tow RV over. GM is poor white. 896 to 10 to the power off 12 are a but let's RV on solving angular momentum Pary red marks. You will get 3.27 8983 came to the power night meter squared per second. It's Puerto half up our A plus Army, which is who like 137 and to 10 to the power six. So you will get three points or 02 in tow, 10 to the power 6 m. Similarly, you can find the value of the the root off our A in tow RV are it 2.137 And to the power six value of RV is four point 677 Tend to the power six. So value off the you will get 3.161 45 10 to the power 6 m and time period will be will fight a B upon edge. He is 3.40 to 10 to the power six b is 3.16145 in tow. 10 to the power six upon edge 3.78 983 The time period you will get 17.831 This is the answer for this problem. Thanks for watching it.

View More Answers From This Book

Find Another Textbook

02:49

Which law describes how the Earth applies a gravitational force on the Moon,…

01:08

Two forces, 80N and 100N acting at an angle of 60 degrees with each other, p…

01:33

The length of the side of a cube having a density of 12.6 g/ml and a mass of…

02:51

Vectors a and b have scalar product â6.00, and their vector product has magn…

01:22

The thickness of a book is 3.2cm, measured between the inside covers the hig…

02:01

Silvia is driving at the speed limit of 25 m/s when she sees an ambulance ap…

01:27

Which statement is true? A)The law of equal areas suggests that the ima…

01:21

A hotdog cannon shoots a hotdog straight up in the air with an initial velo…

01:30

Which of the following could be considered a scientific statement? Coo…

01:00

Why is a magnetic field a vector quantity?A. Directional force B. Di…