(13%) Problem 2: Suppose your friend claims to have discovered a mysterious force in nature that acts on all particles in some region of space. He tells you that the force is always pointed away a definite point in space, which we can call the force center. The magnitude of the force turns out to be proportional to B/r, where r is the distance from the force center to any other point. Your friend says that it has been determined that the constant of proportionality has been determined to be B = 3 (in units to be determined later), so that the magnitude of the force on a particle (in newtons) can be written as 3/r, when the particle is at a distance r from the force center. * 33% Part (a) Write an expression for the potential energy Up of a particle when it is at a distance D from the force center, in terms of B and D, where B is the constant of proportionality. Assume the potential energy to be zero when the particle is at infinity. Up = B/2j2 x Attempts Remain A 33% Part (b) If D is measured in meters, then what must the units be for the proportionality constant in order that the energy be in joules? A 33% Part (c) If the particle is a distance 0.43 m from the force center, then what is the potential energy, in joules, of that particle? Grade Summary PE = Deductions 0%