What is the gravitational Field?

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SUMMARY

The gravitational field inside a thin spherical shell is zero, as established by the Shell Theorem. In this discussion, a spherical shell with a radius of 3.4 m and a mass of 456 kg is analyzed, with the Universal Gravitational Constant set at 6.6726 x 10^-11 N m²/kg². The gravitational field at a distance of 1.4 m from the center of the shell is confirmed to be zero, illustrating the principle that a symmetrical shell exerts no net gravitational force at any point within its interior.

PREREQUISITES
  • Understanding of the Shell Theorem in gravitational physics
  • Familiarity with gravitational field concepts and vector fields
  • Basic knowledge of Newton's law of universal gravitation
  • Ability to perform calculations involving gravitational constants and mass
NEXT STEPS
  • Study the Shell Theorem in detail to understand its implications in gravitational physics
  • Learn about gravitational fields and how they are calculated in different geometries
  • Explore the concept of flux in relation to gravitational fields
  • Review Newton's law of universal gravitation and its applications in real-world scenarios
USEFUL FOR

Students of physics, educators teaching gravitational concepts, and anyone interested in understanding the principles of gravitational fields and the Shell Theorem.

grouchy
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Hint: Use shell theorem and/or flux argument for a symmetrical shell.

A thin spherical shell has a radius of 3.4 m and a mass of 456 kg. The Universal gravitational constant is 6.6726 x 10^-11 N m^2/kg^2.

What is the gravitational field 1.4 m from the center of the shell? Answers in units of N/kg.

Attempt--
I tried this equations, a= - G(delta m)/ (x^2 + y^2)
 
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forget equations. picture the flux
 
grouchy said:
Hint: Use shell theorem and/or flux argument for a symmetrical shell.

A thin spherical shell has a radius of 3.4 m and a mass of 456 kg. The Universal gravitational constant is 6.6726 x 10^-11 N m^2/kg^2.

What is the gravitational field 1.4 m from the center of the shell? Answers in units of N/kg.

Attempt--
I tried this equations, a= - G(delta m)/ (x^2 + y^2)

The gravitational field is a vector field. The gravity at the center will be the integral of all the mass of the shell acting at that point through all directions.

Maybe read up a little about the Shell Theorem?
http://en.wikipedia.org/wiki/Shell_theorem
 
wait..is the answer zero?
 
yip.
 
eh.. thanks lol! Need to pay attention in class a bit more :)
 
grouchy said:
wait..is the answer zero?

Correctamundo.

Good luck.

Study Tip: Read next week's problems before going to next week's class. Then you know what part of the lecture to snooze through.
 

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