Final answer:
Without complete information about both charges, a precise numerical answer can't be provided; however, the use of Coulomb's law would be the typical approach to solve such a problem.
Step-by-step explanation:
The student's question involves calculating the force between two charged objects, which falls within the domain of Physics, specifically electrostatics. The mention of charges, forces, and electric fields indicates this question is appropriate for a High School level understanding of Physics concepts.
To find the force exerted on a metal sphere by a charged glass bead, it's necessary to use Coulomb's law. This law states that the electric force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between their centers. However, it appears this question might be missing some relevant values, such as the charge of the metal ball bearing, to apply Coulomb's law properly. If the metal ball bearing is assumed neutral, the situation implies an induced charge and the need to consider the attraction between induced charges. Without more information, we cannot provide a precise answer but can explain the approach typically used in such situations, involving electrostatic principles and perhaps concepts of induced charge and polarization.