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.

If D is measured in meters, then what must the units be for the proportionality constant A in order that the energy be in Joules?

If D is measured in meters, then what must the units be for the constant b in order that the energy be in Joules?

If the particle is a distance 0.59 m from the force center and the constants are A = 49 and b = 7, then what is the potential energy of that particle?