A mysterious force has been discovered in nature that acts on all particles in the three-dimensional space. You determine that the force is always pointed away from a definite point in space, which we can call the force center. The magnitude of the force has the following functionality: F = Ae-br, where r is the distance from the force center to any other point. (the -br is an exponent)

Required:
Write an expression for the potential energy UD of a particle when it is at a distance D from the force center, assuming the potential energy to be zero when the particle is at infinity.