A point particle with particle q1 = 3.60 μC is held stationary at the origin. A second point particle with particle q2 = -4.10 μC moves from the point ( 0.165 m , 0) to the point ( 0.275 m , 0.290 m ). How much electrostatic work W is done on the moving point particle?

Express your answer in joules. Use k = 8.99×109 N⋅m2/C2 for Coulomb's constant: k=14π?0.

Hint: Use the equation for the electric potential energy between two point particles to calculate the work done by the electric force. Recall that the work done by a conservative force is W=Ui-Uf=-ΔU, the difference between the initial and final potential energies. A conservative force is one for which the work done on a particle by the force is independent of the path taken and depends only on the initial and final points. The electric force is a conservative force. Gravity is another example of a conservative force.

Hint 2. Calculate the initial electric potential energy

Calculate the initial electric potential energy Ui when the moving point particle is at the point ( 0.165 m , 0).

Express your answer in joules. Use k = 8.99×109 N⋅m2/C2 for Coulomb's constant: k=14π?0.

W = J