-Relating Conservative Force and Potential Energy -Energy diagrams and Equilibrium

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-Relating Conservative Force and Potential Energy -Energy diagrams and Equilibrium

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-Relating Conservative Force and Potential Energy-Energy diagrams and Equilibrium

AP Physics CMrs. Coyle

- “ the work this force does on an object that moves between two points depends only on the position of these two points and not on the path.”
- “the work this force does on an object that moves through a round trip is zero.”
- Example: gravity, force of a spring.

- The work done by the force of gravity Wg =-ΔU

ΔU is the change in potential energy of the system

- Start with U= mgx
- Find F

- Start with U= ½ kx2
- Find F(x):

- Stable Equilibrium: movement away from this (x=0) position results in a restoring force.
- Unstable Equilibrium: movement away from this position results in a force directed away from x=0
- Neutral equilibrium: movement away from x=0 does not result in either restoring nor disruptive forces.

xmax and –xmax :

turning points

A single conservative force acting on a particle varies as F=(-Ax+Bx2 )i N, where A and B are constants and x is in meters.

a) Calculate the potential energy function taking U=0 at x=0

b) Find the change in potential energy and change in kinetic energy as the particle moves from x=2.00m to x=3.00m

- A potential energy function for a two dimensional force is U=3x3y - 7x
- Find the force that acts at the point (x, y)
- Hint find F(x) and F(y).