Force of Gravity in terms of Density

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SUMMARY

The equation for the Force of Gravity in terms of density can be derived by substituting the mass of an object, calculated from its density and volume, into Newton's Law of Universal Gravitation. Specifically, the mass (m) is determined using the formula m = density (ρ) × volume (V). This allows for the expression of gravitational force (F) as F = G(ρV)M/r², where G is the gravitational constant, M is the mass of the other body, and r is the distance between their centers. Understanding this relationship is crucial for applying gravitational concepts in astrophysics and engineering.

PREREQUISITES
  • Newton's Law of Universal Gravitation
  • Basic concepts of density and volume
  • Mathematical manipulation of equations
  • Understanding of gravitational constant (G)
NEXT STEPS
  • Research the derivation of gravitational force equations using density
  • Study the implications of density in astrophysical contexts
  • Explore advanced applications of Newton's Law in celestial mechanics
  • Learn about the role of gravitational constant (G) in various calculations
USEFUL FOR

Students of physics, astrophysicists, and engineers interested in gravitational calculations and the relationship between density and gravitational force.

wildkat7411
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Does anyone know the equation for the Force of Gravity in terms of density? I have been trying to plug in the equatin for the density of a sphere into Newtons Gravity formula and keep hitting dead ends. And if you can show me the math and reasoning behind it please.
 
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I'm not sure what you are looking for. The only reason to use density would be to find the mass when you only have the density and volume of the body involved. In which case you calculate the mass from the given density and volume and plug that answer into the equation.
 

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