Gravitational fields - move from A to infinity

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SUMMARY

The discussion focuses on deriving an expression related to gravitational fields and potential energy as an object moves from point A to infinity. The key equation mentioned is AAB = m * ∫ * K dr = Δ Ek, which relates mass, work done, and kinetic energy change. Participants emphasize the importance of understanding gravitational potential energy and the implications of gravity as a conservative force. The conversation highlights the need for clarity on how angles affect the trajectory and work done in gravitational fields.

PREREQUISITES
  • Understanding of gravitational potential energy
  • Familiarity with calculus, specifically integration
  • Knowledge of conservative forces in physics
  • Basic concepts of work-energy principles
NEXT STEPS
  • Research the concept of gravitational potential energy and its mathematical formulation
  • Study the implications of conservative forces in physics
  • Learn about the integration techniques used in physics problems
  • Explore the relationship between angles and trajectories in gravitational fields
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and gravitational fields, as well as educators seeking to clarify concepts related to potential energy and work in conservative systems.

Denul
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Homework Statement



I have been trying solve this ask, but there is a problem. I don´t know how I can obtain an expression of infinity which is connected with angle.
Picture is as Attach Files2. The attempt at a solution

I think, I must use this equations AAB=m * ∫ * K dr = Δ Ek

Is there anyone who knows the solution?

The Attempt at a Solution

 

Attachments

  • from A to infinity.jpg
    from A to infinity.jpg
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Last edited:
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Welcome to PF;
As the object moves alng the marked trajectory, do the angles change?

But this is a red herring - ignore it.

Consider: gravity is a conservative force - what does this mean in terms of the work to go between two points?

What is the definition of gravitational potential energy?
(In terms of work and infinity?)
 
Denul said:

Homework Statement



I have been trying solve this ask, but there is a problem. I don´t know how I can obtain an expression of infinity which is connected with angle.
Picture is as Attach Files


2. The attempt at a solution

I think, I must use this equations AAB=m * ∫ * K dr = Δ Ek

Is there anyone who knows the solution?


The Attempt at a Solution


Welcome to the PF.

Please check your PMs. You *must* show some effort in your schoolwork questions here.
 

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