Asteroids and their total energy

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SUMMARY

The discussion focuses on the total energy (TE), kinetic energy (KE), and potential energy (PE) of three asteroids (X, Y, Z) with equal mass (6 kg each) orbiting a planet with mass M = 6×1024 kg. The user is attempting to determine the relationships between these energies at various points in their orbits, specifically using the conservation of energy principles. The user's most confident answers are A, B, C, D, and G, while they express uncertainty regarding E and F. The correct relationships are crucial for understanding orbital mechanics.

PREREQUISITES
  • Understanding of gravitational potential energy in orbital mechanics
  • Familiarity with kinetic energy calculations in physics
  • Knowledge of conservation of energy principles
  • Ability to interpret and analyze orbital diagrams
NEXT STEPS
  • Study the conservation of energy in orbital mechanics
  • Learn about the relationship between semi-major axis and total energy in elliptical orbits
  • Explore the calculations of kinetic and potential energy in circular orbits
  • Investigate the effects of mass and distance on gravitational forces
USEFUL FOR

Students and educators in physics, particularly those focusing on orbital mechanics and energy conservation, as well as anyone preparing for exams in classical 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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