How does on check a force to see if the force is conservative (using the curl)?
Given a force how does one calculate the potential energy?
Are the following forces conservative
a) F(subx) = axz+bx+c, F(suby) = axz + bz, F(subz) = axy + by
b) F(a vector) = e(sub r) a/r where a, b, c are constants and e(sub r) is a unit vector
Please see the solution to your problem in the attached word file
Please remember to read the detailed explanation given at ...
This solution defines conservative forces and lists their characteristic properties and also instructs on how to calculate potential energy with clear examples. It also distinguishes if Fx, Fz, Fy and F=e are conservative forces.