Two hard rubber spheres, each of mass m = 16.3 g, are rubbed with fur on a dry day and are then suspended with two insulating strings of length L = 5.50 cm whose support points are a distance d = 3.21 cm from each other as shown in the figure below. During the rubbing process, one sphere receives exactly twice the charge of the other. They are observed to hang at equilibrium, each at an angle of ? = 10.9° with the vertical. Find the amount of charge on each sphere. (Assume the two spheres have charges q1 and q2 = 2q1)

Three spiders are resting on the vertices of a triangular web. The sides of the triangular web have a length of a = 0.49 m, as depicted in the figure. Two of the spiders (S₁ and S3) have +8.1 µC charge, while the other (S₂) has -8.1 µC charge. a/2 O a/2 (a) What are the magnitude and direction of the net force on the third spider (S3)? magnitude N direction counterclockwise from the +x-axis (b) Suppose the third spider (S3) moves to the origin. Would the net force on the third spider (S3) be greater than, less than, or equal to the magnitude found in part (a)? O greater than in part (a) O less than in part (a) O equal to the part (a) (c) What are the magnitude and direction of the net force on the third spider (S3) when it is resting at the origin? magnitude N direction counterclockwise from the +x-axis

Two point charges q1 and q2 are held in place 4.50 cm apart. Another point charge -1.95 μC of mass 5.50 gg is initially located 3.00 cm from each of these charges (the figure(Figure 1)) and released from rest. You observe that the initial acceleration of -1.95 μC is 314 m/s^2 upward, parallel to the line connecting the two point charges.

Three point charges have equal magnitudes, two being positive and one negative. These charges are fixed to the corners of an equilateral triangle, as the drawing shows. The magnitude of each of the charges is 4.0 μC, and the lengths of the sides of the triangle are 2.0 cm. Calculate the magnitude of the net force that each charge experiences. B (a) FA= i (b) FB i (c) Fc = i ✪