Shown in the figure below is a device used to detect charge placed on a small ball. The violet ball, has known charge Q = 1.5e-07 Coulombs and is fixed in place. The blue ball (m = 0.00196 kg) is suspended by a string of length L = 0.095 meters. At the moment shown in the figure, the blue ball hangs at an angle 0 = 12.7 degrees off the vertical. Mass = m hanging q Q fixed d Compare the sign of the charge on the two balls: ○ Opposite Too little information ○ Same Determine the distance between the balls: d = Determine the tension in the string: T = Determine the charge on the blue ball: q = meters Newtons Coulombs
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- 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.A 28 x 10-6 C point charge is held at rest within a uniform electric field of 840.0 N/C directed in the +x direction. If the charge is released from rest, what will its speed be after moving 0.73 m in the +x direction. Assume only the electric field force acts and that the mass of the charge is 3.00 x 10-7 kg.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. mThree point particles, each with a mass m and a charge of +5.0 nC, are placed at the vertices of an equilateral trian- gle with side length l fixed in place, but the third experiences an acceleration of 8.0 cm. Two of the particles are 17.4 m/s? immediately after being released from rest. What is the mass m of each particle? (Suppose that the particles are located in outer space so that you can ignore the effects of gravity.)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.
- One particle has a mass of 4.97 x 10-3 kg and a charge of +6.41 µC. A second particle has a mass of 7.53 x 10-3 kg and the same charge. The two particles are initially held in place and then released. The particles fly apart, and when the separation between them is 0.175 m, the speed of the 4.97 x 10-3 kg-particle is 185 m/s. Find the initial separation between the particles. V2,B 92 I K 92 91 I KTA →→ 91 V1,BCharged particles q1=−q1=− 4.00 nCnC and q2=+q2=+ 4.00 nCnC are separated by distance 3.90 mmmm , forming an electric dipole. Find the magnitude of the electric dipole moment. Express your answer in coulomb meters to three significant figures.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 > > >
- A 28 x 10-6 C point charge is held at rest within a uniform Electric field of 810.2 N/C directed in the +x direction. If the charge is released from rest, what will its speed be after moving 0.73 m in the +x direction. Assume only the electric filed force acts and that the mass of the charge is 4.31 x 10-7 kgThe figure below shows a small, hollow, plastic ball hanging vertically from a thin, lightweight string. The ball has a mass of 6.30 g and a uniformly distributed charge of q₁ = 30.7 nC. Directly below it is a second ball with the same mass, but a charge of 92 -58.0 nC. (Assume this second ball is fixed in place.) The centers of the two plastic balls are a distance d = 2.00 cm apart. = 91 + 92 (a) What is the tension (in N) in the string? .10174 N Need Help? (b) The string will break if the tension in it exceeds 0.180 N. What is the smallest possible value of d (in cm) before the string breaks? 0.0339 The analysis is the same as in part (a), including the magnitude and direction of the gravitational and electric forces. Note that Coulomb's law depends on the square of the distance d. Use the threshold value of the tension to solve for d. cm Read It