Escape from gravitational field

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SUMMARY

The discussion focuses on calculating the percentage increase in velocity required for a satellite to escape Earth's gravitational field. The relevant equation provided is v = √(gh), which is insufficient for determining escape velocity as it does not account for the infinite height (h → ∞) necessary to fully escape Earth's gravity. Participants emphasize the need for a more comprehensive understanding of gravitational physics and the implications of escape velocity.

PREREQUISITES
  • Understanding of gravitational physics
  • Familiarity with the escape velocity concept
  • Knowledge of basic algebra and square root functions
  • Ability to interpret physical equations
NEXT STEPS
  • Research the formula for escape velocity from Earth
  • Learn about gravitational potential energy and its relation to escape velocity
  • Explore the concept of orbital mechanics and satellite motion
  • Study the effects of altitude on gravitational force
USEFUL FOR

Students in physics, aerospace engineers, and anyone interested in satellite dynamics and gravitational physics will benefit from this discussion.

hafiz ns
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1. A satellite is revolving very close to earth. what is the % increases in velocity needed to escape from the gravitational field of earth

Homework Equations


v= root gh

The Attempt at a Solution


Sorry, i don't have any solution .
 
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You have to tell us, what you know. What does escape from the gravitational field of the Earth mean? How far can the satellite go away from the Earth with the increased velocity?
 
No need for a full solution on PF. But definite need to know what you do have: equations, attempted solution etc.

##v = \sqrt{gh} ## isn't good enough: need to escape from Earth gravitational field, so ##h \rightarrow \infty ##
 

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