Gravitational force & escape velocity

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SUMMARY

The discussion centers on gravitational force and escape velocity, specifically addressing the formula F = mk/r², where k is a negative constant indicating the attractive nature of gravity. Participants confirm that gravity acts in the negative radial direction. Additionally, the escape velocity is defined as v(initial) = √(2gR), with a recommendation to prove this using conservation of energy principles.

PREREQUISITES
  • Understanding of Newton's law of universal gravitation
  • Familiarity with the concept of escape velocity
  • Basic knowledge of conservation of energy principles
  • Mathematics involving square roots and algebraic manipulation
NEXT STEPS
  • Study the derivation of gravitational force using Newton's law of gravitation
  • Explore the concept of escape velocity in different celestial contexts
  • Investigate the conservation of energy in gravitational systems
  • Learn about the implications of negative constants in physics equations
USEFUL FOR

Physics students, educators, and anyone interested in understanding gravitational forces and escape velocity calculations.

hadeel
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1- F = mk/r^2 ... k is -ve value ...why ?? please in concise way


2- for escape velocity ...
v( inital) = root ( 2gR )... with proof

thank u
 
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hadeel said:
1- F = mk/r^2 ... k is -ve value ...why ?? please in concise way
Gravity is an attractive force, which acts in the -r direction.

2- for escape velocity ...
v( inital) = root ( 2gR )... with proof
Prove it for yourself using conservation of energy.
 

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