Final answer:
The work done to move a 4nC charge in the electric field of a 60nC point charge can be calculated by finding the potential difference between two points, which is then multiplied by the charge to find the work.
Step-by-step explanation:
The work required to move a charge in an electric field can be found using the formula dealing with potential difference, which is W = qV, where W is the work done, q is the charge being moved, and V is the potential difference between the two points. The potential difference (V) between two points in the electric field of a point charge can be found using the equation V = kQ(1/r1 - 1/r2), where k is Coulomb's constant (8.99 x 109 N m2/C2), Q is the point charge creating the electric field, and r1, r2 are the distances from the charge to each point.
In this case, to move a charge of 4nC from a point 2m away to a point 0.5m away from a point charge of 60nC, we first calculate the potential difference using the above formula. Then, using the potential difference, we find the work required by multiplying it with the charge being moved (4nC).