Three object net gravitational field problem

In summary, the problem involves two 10 kg masses placed on an x-y coordinate plane, with one at (0,0) and the other at (2,0). An additional 5 kg mass is placed at an unknown point K, and the task is to calculate the gravitational force and acceleration exerted on the mass due to this net field. The relevant equation for this is Fg= (-G(m1)(m2))/r^2, and the first step would be to find the x/y components of the force.
  • #1
PHK
18
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Homework Statement



Two 10 kg masses are placed on an x-y coordinate plane measured in meters. the first mass is at position (0,0) and the second at (2,0). that's the first part of the problem the second part is: if an additional 5 kg mass is placed at the point K, calculate the gravitational force and acceleration exerted on the mass due to this net field.

(there are two answers one for each part)

Homework Equations



i tried Fg= (-G(m1)(m2))/r^2 (not sure if its correct)
I don't know where to start can someone help. thanks
 
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  • #2
Your equation for the force of gravity is correct, although I don't think the "-" is necessary, the direction of the force depends only on your chosen co-ordinate system.
You will want to start by finding the x/y components of the gravitational force.
 
  • #3
thanks for the response. i figured out the problem. but thanks
 

FAQ: Three object net gravitational field problem

1. What is a "Three object net gravitational field problem"?

A "Three object net gravitational field problem" is a type of problem in which three objects with mass interact with each other through the force of gravity. The goal is to determine the net gravitational force on each object due to the other two objects.

2. How is the net gravitational force calculated in a "Three object net gravitational field problem"?

The net gravitational force on each object is calculated using the universal law of gravitation, which states that the force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. In a "Three object net gravitational field problem", the force on each object is the vector sum of the individual forces from the other two objects.

3. What are some real-life applications of "Three object net gravitational field problems"?

"Three object net gravitational field problems" have many applications in astrophysics and space exploration. For example, they are used to study the gravitational interactions between planets, moons, and other celestial bodies in our solar system. They also play a crucial role in spacecraft trajectories and gravitational slingshot maneuvers.

4. What are some challenges in solving "Three object net gravitational field problems"?

One of the main challenges in solving "Three object net gravitational field problems" is the complexity of the calculations involved. The interactions between three objects can be difficult to visualize and require advanced mathematical techniques, such as vector calculus, to accurately solve. Additionally, the constantly changing positions of the objects make it challenging to predict their future movements.

5. Can "Three object net gravitational field problems" be solved without using mathematical equations?

While mathematical equations are the most precise way to solve "Three object net gravitational field problems", there are also computer simulations and graphical techniques that can help visualize the interactions between the objects. However, these methods may not provide an exact solution and are typically used for educational purposes rather than real-world applications.

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