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)

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)

Similar questions

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 ✪
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)
Two metal spheres of identical mass m = 4.60 g are suspended by light strings 0.500 m in length. The left-hand sphere carries a charge of 0.765 µC, and the right-hand sphere carries a charge of 1.47 μC. What is the equilibrium separation between the centers of the two spheres? 0.6078 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four- digit accuracy to minimize roundoff error. m
Two small balls, each of mass 3.0 g, are attached to silk threads 30 cm long, which are in turn tied to the same point on the ceiling, as shown in the figure. When the balls are given the same charge Q, the threads hang at 0 = 3.0° to the vertical. What is the magnitude of Q?
The drawings show three charges that have the same magnitude but may have different signs. In all cases the distance d between the charges is the same. The magnitude of the charges is |q|=7.3 µC, and the distance between them is d=3.2 mm. Determine the magnitude of the net force on charge 2 for each of the three drawings. 1 (a) F= i (b) F= i (c) F= i +q 2 (a) +q 3 +q 1 +q 2 (b) +q 3 > > +q 1 21 Id +q 3
Two identical spheres are attached to silk threads of length L=0.60 m and hung from a common point as shown in the figure. Each sphere has a mass m=7.0 g. One sphere is given a charge q1, and the other is given a different charge q2, this causes the spheres to separate so that when the spheres are in equilibrium, each thread makes an angle = 20 degrees with the vertical. A small wire is then connected to the spheres, allowing charge to be transferred from one sphere to the other until the two spheres have equal charges, the wire is then removed. Each thread now makes an angle = 30 degrees. Determine the original charge (in micro-coulomb) of q1.
Three dots are resting on the vertices of a triangle. The sides of the triangle have a length of a = 0.68 m, as shown. Two of the dots (S1 and S3) have +6.5 µC charge, while the other (S2) has −6.5 µC charge. (a) Find the direction of the net force on the third dot (S3) in degrees counterclockwise from the +x-axis. (b) Find the direction of the net force on the third dot (S3) when it is moved to the origin in degrees counterclockwise from the +x-axis.
The drawings show three charges that have the same magnitude but may have different signs. In all cases the distance d between the charges is the same. The magnitude of the charges is lql=7.9 µC, and the distance between them is d=6.4 mm. Determine the magnitude of the net force on charge 2 for each of the three drawings. 1 (a) F = i (b) F= i (c) F = i +q 2 (a) +q 3 +q 1 +q 2 (b) +q 3 +q 1 < (c) 21 |d I +q 3
In the figure three identical conducting spheres form an equilateral triangle of side length d = 16.1 cm. The sphere radii are much smaller than d and the sphere charges are qA = -2.20 nC, qB = -5.36 nC, and qc = +8.63 nC. (a) What is the magnitude of the electrostatic force between spheres A and C? The following steps are taken: A and B are connected by a thin wire and then disconnected; B is grounded by the wire, and the wire is then removed; B and Care connected by the wire and then disconnected. What now are the magnitudes of the electrostatic force (b) between spheres A and C and (c) between spheres B and C? B 1 (a) Number (b) Number (c) Number C i i i E Units Units Units > > >
Two metal spheres of identical mass m 3.60 g are suspended by light strings 0.500 m in length. The left-hand sphere carries a charge of 0.885 μC, and the right-hand sphere carries a charge of 1.59 μC. What is the equilibrium separation between the centers of the two spheres? m =