There will be a decrease in the potential energy of the system if work is done upon the system by:

The force acting on a body moving along the $x-$axis varies with the position of the particle as shown in the figure. The body is in stable equilibrium at

The potential energy of an object is $U(x) = (5x^2 - 4x^3) \ J$, where $x$ is the position in meters. The position at which the force becomes zero is

The potential energy for a conservative system is given by:
$U = ax^2 - bx$
Where $a$ and $b$ are positive constants. The law of the force governing the system is:

State the principle of conservation of mechanical energy in the presence of non-conservative forces.

The potential energy of an object of mass $m$ moving in the $xy$ plane in a conservative field is given by $U = ax + by$,where $x$ and $y$ are position coordinates of the object. Find the magnitude of its acceleration.