Gravitational forces and multiple bodies problem

In summary, a question is asked about finding the net gravitational force on a mass at coordinates (0, 0) due to three other masses placed at different coordinates on a square. The attempt at a solution involves finding the distance and angle between the two masses, but the confusion arises in adding up the vectors to get the correct net force. The correct approach is to use polar notation, specifying a magnitude and angle for the net force.
  • #1
jonathng
6
0

Homework Statement


Four 335 kg spherical masses are placed on the corners of a square at coordinates (0, 0), (0, 1.50), (1.50, 0) and (1.50, 1.50) where all coordinates are in meters. What is the net gravitational force on the mass at (0, 0) due to the other three masses? Express your answer in polar notation with the angle in degrees.


Homework Equations



Fg=GMm/r^2
A^2+B^2=C^2

The Attempt at a Solution


I worked to find the distance from (0,0) to (1.5,1.5) and it was 2.1213 (using trig), I got that the angle is 45 degrees. But for some reason I am having trouble adding up the vectors to get the correct net force. I understand that we learned the tail-tip concept. The answer space is also only giving me one blank to fill in for the net force, this doesn't make sense to me, because if i am supposed to put the answer in polar notation i should give the vector an x and a y component, right? Any help with this will be greatly appreciated. Thanks!
 
Physics news on Phys.org
  • #2
With polar notation you specify a magnitude and an angle.
 
  • #3
Oh yea, you are right! Thanks a bunch! I need to sleep more.
 

FAQ: Gravitational forces and multiple bodies problem

What is the multiple bodies problem?

The multiple bodies problem is a physics problem that involves calculating the movements and interactions of three or more objects that are affected by gravitational forces. This problem is often encountered in celestial mechanics when studying the orbits of planets, moons, and other celestial bodies.

What is the role of gravitational forces in the multiple bodies problem?

Gravitational forces play a crucial role in the multiple bodies problem as they are responsible for the attraction between the objects. The strength of the gravitational force is determined by the masses and distance between the objects, and it causes them to accelerate towards each other.

Is the multiple bodies problem solvable?

The multiple bodies problem is considered to be one of the most challenging problems in physics and does not have a general analytical solution. However, it can be solved numerically using computer simulations and approximations.

What is the difference between the two-body problem and the multiple bodies problem?

The two-body problem involves only two objects that are affected by gravitational forces, while the multiple bodies problem involves three or more objects. The two-body problem can be solved analytically, while the multiple bodies problem requires numerical methods.

What are some real-life applications of the multiple bodies problem?

The multiple bodies problem has many practical applications, such as predicting the movements of planets and moons in our solar system, designing satellite orbits, and understanding the dynamics of galaxies and star clusters. It is also used in various fields like astrophysics, aerospace engineering, and navigation systems.

Back
Top