Compute each part of given problem:
Problem: A small piece of dust of mass m = 2.5 mu or micro g (micrograms) travels through an electric air cleaner in which the electric field is 486 N/C. The electric force on the dust particle is equal to the weight of the particle.
Part A: What is the charge on the dust particle?
Part B: If this charge is provided by an excess of electrons, how many electrons does that correspond to?
Please show your results in detailed calculations for above problem.