# Find the change in potential energy of the system

1. Oct 19, 2005

### Lucey12385

I'm having a had time with this problem because it is using A's and B's instead of real numbers:

A single conservative force acting on a particle varies as F=(-Ax+Bx^2)i N, where A and B are constants and x is in meters. a)calculate the potential energy function U(x) associated with this force, taking U=0 at x=0. b) Find the change in potential energy of the system and the change in kinetic energy of the particle as it moves from x=2.00m to x=3.00m

Any help is greatly appreciated! Thanks!

2. Oct 19, 2005

### whozum

All you need is the relationship between the force function F(x) and the energy function U(x) given by
$$U(x) = \int_{x_1}^{x_2} F(x) \ dx$$

Remember A and B are constants, so treat them as such while integrating. (They wont disappear).