Forest UCM Energy PE n ConsForces

Potential Energy and Conservative Forces

Conservative Forces

What is a conservative Force?

Two conditions are neccessary for a Force to be conservative.

1. The force on depends on the objects position (F = F(r)). Not on time nor velocity
2. The work done by the force in displacing the object between two points is independent of the path taken.

Examples of conservative forces

[math]\vec F = k\vec r[/math]

[math]\vec F = G \frac{m_1 m_2}{r^3} \vec r[/math]

[math]\vec F = q \vec E[/math]

Examples of Non Conservaive Forces

[math]\vec F = -bv -cv^2[/math]

[math]\vec{F} = q \vec v \times \vec B[/math]

Forest_UCM_Energy#PE_.26_Conservative_Force