What is the gravitational Field?

In summary, using the shell theorem, we can determine that the gravitational field at a distance of 1.4 m from the center of a thin spherical shell with a radius of 3.4 m and a mass of 456 kg is zero. This is due to the symmetry of the shell and the fact that the shell's mass cancels out at this distance. The Universal gravitational constant is used in the calculation of this field. It is important to review concepts such as the Shell Theorem before attending class to better understand the material.
  • #1
grouchy
73
0
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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  • #2
forget equations. picture the flux
 
  • #3
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
 
  • #4
wait..is the answer zero?
 
  • #5
yip.
 
  • #6
eh.. thanks lol! Need to pay attention in class a bit more :)
 
  • #7
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.
 

FAQ: What is the gravitational Field?

1. What is the definition of gravitational field?

The gravitational field is a region around an object where another object with mass will experience a force of attraction towards the center of that object.

2. How is the strength of the gravitational field measured?

The strength of the gravitational field is measured by the force per unit mass, also known as gravitational acceleration. This can be calculated using the formula g = F/m, where g is the gravitational acceleration, F is the force of attraction, and m is the mass of the object experiencing the force.

3. What is the difference between gravitational field and gravitational force?

The gravitational field is the region where a force of attraction exists, while the gravitational force is the actual force of attraction between two objects with mass. The strength of the gravitational field determines the strength of the gravitational force.

4. How does distance affect the gravitational field?

The strength of the gravitational field decreases as the distance between two objects increases. This is known as the inverse-square law, which states that the force of attraction between two objects is inversely proportional to the square of the distance between them.

5. What are some real-life examples of gravitational fields?

Some common examples of gravitational fields include the Earth's gravitational field, which keeps objects on its surface from floating away, and the gravitational field of the sun, which keeps the planets in orbit around it. Other examples include the gravitational field of a black hole, which is so strong that it can pull in light, and the gravitational field of the moon, which causes the tides on Earth.

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