Cannot see where potential enegy comes from in classical mechanics

In summary, the conversation discusses the concepts of force, acceleration, mass, potential energy, momentum, and energy. The homework equations are given as F=ma, E= (p^2)/(2m) + U, and ma = -del U. The individual is trying to understand why potential energy (U) is included in equations 2 and 3, given only equation 1. They express difficulty in introducing the notion of potential energy with only equation 1.
  • #1
vectorcube
317
0

Homework Statement



F=force, a=acceration, m=mass, U potential energy, P momentum, E=energy

How do derive 2 and 3 from 1( see below).


Homework Equations



1) F=ma,

2) E= (p^2)/(2m) + U,

3) ma = -del U

The Attempt at a Solution



I try to understand why U pop into the equation for 2 and 3 given only 1, but i failed. I do not know how to introduce the notion of potential energy given only 1.
 
Physics news on Phys.org
  • #2
Welcome to PF!

vectorcube said:
… U potential energy, …

Hi vectorcube! Welcome to PF! :smile:

U is the potential, not the potential energy …

see the PF Library for more details. :wink:
 
  • #3
Oops scratch my post, wrong derivation
 
Last edited:

1. Where does potential energy come from in classical mechanics?

In classical mechanics, potential energy comes from the stored energy of an object or system. This energy can be stored in various forms such as gravitational potential energy, elastic potential energy, or electrical potential energy.

2. Can potential energy be created or destroyed?

No, according to the law of conservation of energy, energy cannot be created or destroyed. Potential energy can only be converted into other forms of energy, such as kinetic energy, but the total amount of energy remains constant.

3. How is potential energy related to position?

In classical mechanics, potential energy is directly related to an object's position. The higher an object is positioned, the more potential energy it has. This is because the higher an object is, the more work is required to move it against the force of gravity or any other force.

4. What is the formula for calculating potential energy?

The formula for calculating potential energy varies depending on the type of potential energy being considered. For example, gravitational potential energy is calculated as PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object. Elastic potential energy is calculated as PE = 1/2kx^2, where k is the spring constant and x is the displacement from equilibrium.

5. How does potential energy affect an object's motion?

Potential energy does not directly affect an object's motion. However, it can be converted into kinetic energy, which is the energy an object possesses due to its motion. When an object's potential energy is converted into kinetic energy, it can cause the object to move or change its speed or direction of motion.

Similar threads

  • Introductory Physics Homework Help
Replies
12
Views
593
  • Introductory Physics Homework Help
Replies
15
Views
257
  • Introductory Physics Homework Help
Replies
15
Views
348
  • Introductory Physics Homework Help
Replies
13
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
23
Views
341
  • Introductory Physics Homework Help
Replies
6
Views
225
  • Introductory Physics Homework Help
Replies
1
Views
529
  • Introductory Physics Homework Help
Replies
1
Views
823
Back
Top