Elliptical orbit around a massive spherical planet

In summary, the figure shows the path of a small satellite S in an elliptical orbit around a massive spherical planet P. The distances from 3 to 4, 4 to 5, 9 to 10, and 10 to 11 are all equal. The total potential energy and kinetic energy of S at position 4 is greater than at position 9. The magnitude of the force on S at position 2 is less than at position 8. The potential energy of S varies with position and the torque exerted on S is not constant. S has its minimum speed at position 10 and its speed at position 2 is less than at position 8. It is possible for P to be at position X
  • #1
NAkid
70
0

Homework Statement


The path of a very small satellite S in an elliptical orbit around a massive spherical planet P is shown in the figure. The distance from 3 to 4 is the same as from 4 to 5, 9 to 10, and 10 to 11.
(Select T-True, F-False, G-Greater than, L-Less than, E-Equal to, If the first is T and the rest F, enter
TFFFFFF).

https://cats.lsa.umich.edu/msuphysicslib/Graphics/Gtype30/prob02a_ellipse2na.gif

A) The total PE + KE of S at `4' is ... that at `9'.
B) The magnitude of the force on S at `2' is ... at `8'.
C) The PE of S varies with position.
D) The torqe exerted on S is constant
E) S has its minimum speed at `10'.
F) The speed of S at position `2' is ... at `8'.
G) P could be at position X for the orbit of S shown.


Homework Equations





The Attempt at a Solution



A) The total PE + KE of S at `4' is ... that at `9'. GREATER THAN
B) The magnitude of the force on S at `2' is ... at `8'. LESS THAN
C) The PE of S varies with position. TRUE, depends on R
D) The torqe exerted on S is constant NOT SURE, FALSE?
E) S has its minimum speed at `10'. LESS THAN
F) The speed of S at position `2' is ... at `8'. LESS THAN
G) P could be at position X for the orbit of S shown. TRUE
 
Last edited by a moderator:
Physics news on Phys.org
  • #2
I doubt too many people here go to the university of michigan. Could you upload the diagram somewhere we don't need to log into?
 
  • #3
, as long as the gravitational force is still acting on S and keeping it in orbit, P could be at any position.
 

1. What is an elliptical orbit?

An elliptical orbit is a type of orbit in which an object travels around another object in an elliptical or oval-shaped path. This is in contrast to a circular orbit, where the object travels in a perfect circle.

2. What is a massive spherical planet?

A massive spherical planet refers to a planet that is large and round due to its own gravity pulling it into a spherical shape. Examples of massive spherical planets include Earth, Jupiter, and Saturn.

3. How does an object maintain an elliptical orbit around a massive spherical planet?

An object maintains an elliptical orbit around a massive spherical planet due to the combined forces of gravity and inertia. The planet's gravitational pull keeps the object in orbit, while the object's inertia keeps it moving in a straight line. This results in a curved path, or an ellipse, around the planet.

4. What factors affect the shape of an elliptical orbit?

The shape of an elliptical orbit is affected by the mass and distance of the object from the massive spherical planet. The closer the object is to the planet, the more elliptical its orbit will be. The larger the mass of the planet, the more circular the orbit will be.

5. How is an elliptical orbit different from a circular orbit?

An elliptical orbit differs from a circular orbit in that it is not a perfect circle. It is elongated and has varying distances from the massive spherical planet throughout its orbit. In contrast, a circular orbit has a constant distance from the planet and is a perfect circle. Additionally, an object in an elliptical orbit will have varying speeds as it moves closer or further away from the planet, while an object in a circular orbit will have a constant speed.

Similar threads

  • Introductory Physics Homework Help
Replies
1
Views
686
  • Introductory Physics Homework Help
Replies
3
Views
8K
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
824
  • Introductory Physics Homework Help
Replies
2
Views
794
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
4K
Replies
2
Views
938
  • Introductory Physics Homework Help
Replies
1
Views
8K
  • Introductory Physics Homework Help
Replies
11
Views
763
Back
Top