Asteroids and their total energy

AI Thread Summary
Asteroids X, Y, and Z, each with a mass of 6kg, orbit a planet with a mass of 6×10^24kg, and their energies are analyzed in terms of Total Energy (TE), Kinetic Energy (KE), and Potential Energy (PE). The discussion revolves around determining the relationships between these energies at different points in their orbits, with the user expressing uncertainty about the correct answers for specific comparisons. The user is confident about their answers for A, B, C, D, and G but seeks clarification on E and F regarding the total energy of the asteroids. Additionally, the user questions how total energy relates to the semi-major axis of elliptical orbits and the radius of circular orbits. The conversation highlights the importance of understanding energy conservation in orbital mechanics.
BadSkittles
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Asteroids X, Y, Z have equal mass (6kg each). They orbit around a planet with M=6×1024kg. The orbits are in the plane of the paper and are drawn to scale. TE, KE and PE represent Total, Kinetic and Potential energies.
Select G-Greater than, L-Less than, or E-Equal to. (If the first is G and the rest L, enter GLLLLLL).

A) The KE of Y at 7 is ... its value at 5.
B) The speed of X at 6 is ... it is at 5.
C) The PE of X at 5 is ... the PE of Y at 5.
D) The PE of X at 5 is ... the PE of Y at 7.
E) The TE of Z is ... the TE of X.
F) The TE of Y is ... the TE of Z.
G) The PE of X at 5 is ... its value at 3.

Hello, guys I've attempted this many times. My most certain answer is ELEELGl. I was wondering if anyone could help me with this. I am pressure sure A B C D G are correct. But i am not sure about E and F. I've tried ELEEGLl and ELEEEEl also. Those don't work either.

The unit is on conservation of energy.
 
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BadSkittles said:
E) The TE of Z is ... the TE of X.
F) The TE of Y is ... the TE of Z.
...
Hello, guys I've attempted this many times. My most certain answer is ELEELGl. I was wondering if anyone could help me with this. I am pressure sure A B C D G are correct. But i am not sure about E and F. I've tried ELEEGLl and ELEEEEl also. Those don't work either.

The unit is on conservation of energy.
How is the total energy related to: 1. the length of the semi-major axis of the elliptical orbit or 2. the radius of a circular orbit? Is the semi-major axis of Z greater or less than the radius of Y? You may have to measure this to find out.

AM
 
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