Solving the Gravitational Problem: Rocket Speed at Great Distance from Earth"

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SUMMARY

The discussion centers on calculating the speed of a rocket launched from Earth's surface at 15,000 m/s when it is far from Earth. The escape velocity from Earth is established at 11,200 m/s, indicating that the rocket exceeds this threshold. The incorrect assumption of the rocket's speed being 3,800 m/s is addressed, emphasizing the need to consider gravitational effects and energy conservation principles rather than a simple subtraction of velocities.

PREREQUISITES
  • Understanding of gravitational potential energy
  • Familiarity with kinetic energy concepts
  • Knowledge of escape velocity calculations
  • Basic principles of classical mechanics
NEXT STEPS
  • Study gravitational potential energy and its impact on rocket motion
  • Learn about energy conservation in space travel
  • Explore advanced escape velocity calculations for different celestial bodies
  • Investigate the effects of atmospheric drag on rocket speed
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Aerospace engineers, physics students, and anyone interested in rocket propulsion and gravitational physics will benefit from this discussion.

SELFMADE
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Homework Statement



A rocket is launched straight up from Earth surface at 15000 m/s speed. What is the speed of the rocket when its very far away from the earth?

Homework Equations





The Attempt at a Solution



Escape speed from Earth is 11200m/s. So I am guessing the rocket's speed when its "very far" away from Earth is 3800m/s?
 
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Nice try, but no, that's not the answer. This problem is not quite that simple.

Think about this: how do you calculate the escape velocity, 11200 m/s? That should give you a clue as to how to proceed with this problem.
 

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