1. Calculate the electrostatic force (absolute value only) of repulsion between two a-particles when at a distance of 10*-3 m from each other. Charge of an a-particle is 3.2x10^-19 C. If mass of each particle is 6.68x10*-27 N-m /kg:. 2. Three point charges are placed on the x-axis as shown in the figure. Find the net force on the 5? charge due to the two other charges. 30-C SOPC 30 mm 3. Three charges are placed on three corners of a square, as shown in the figure. Each side of the square is 30 cm. What would be the absolute value of force on a + 6.0 p? charge placed at the vacant corner? -500-C F 4. Three point charges are positioned in the x-y plane as follows: 5 nC at y = 5 cm, -10 nC at y = -5 cm, and 15 nC at x = -5 cm. Find the required x-y coordinates of a 20-nC fourth charge that will produce a zero electric field at the origin. 5. Point charges of 1 nC and -2 nC are located at (0, 0, 0) and (1, 1, 1), respectively, in free space. Determine the vector force acting on each charge. 6. Point charges of 50 nC each are located at A(1, 0, 0), B(-1, 0, 0), C(0, 1, 0), and D(0,-1, 0) in free space. Find the total force on the charge at A