3. [l0.62 Points] ASK YOUR TEACHER PRACTICE ANOTHER Two metal balls A and B of negligible radius are oating at rest on Space Station Freedom between two metal bulkheads, connected by a taut nonconducting thread of length 2.15 m. Ball A carries charge q, and ball 8 carries charge 2q. Each ball is 1.50 m away from a bulkhead. If the tension in the string is 2.30 N, what is the magnitude of q? (Ignore any contribution from induced charge in the bulkheads.) [4C 10. [0/0.62 Points] PREVIOUS ANSWERS SERPSE10 22.3.0P.009. ASK YOUR TEACHER PRACTICE ANOTHER (a) A physics lab instructor is working on a new demonstration. She attaches two identical metal globes with mass rn = 0.180 g to cords of length L as shown in the gure. \"i G) Both globes have the same charge of 6.80 nC, and are in static equilibrium when 0 = 535. What is L (in m)? Assume the cords are massless. 634.82e6 x Draw a free-body diagram, apply Newton's second law for a particle in equilibrium to one of the globes. Find an equation for the distance between the two globes in terms of L and 9, and use this expression in your Coulomb force equation. m (b) what If? The charge on both globes is increased until each cord makes an angle of 9 = 10.7 with the vertical. If both globes have the same electric charge, what is the charge (in nC) on each globe in this case? 252 x Use the same reasoning as in part (a), only now, use the length found in part (a) and the new angle to solve for the charge. nC PREVIOUS ANSWERS SERCP11 15.A.P.065. ASK YOUR TEACHER PRACTICE ANOTHER Two hard rubber spheres, each of mass m = 14.9 g, are rubbed with fur on a dry day and are then suspended with two insulating strings of length L = 5.40 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 0 = 10.5\" with the vertical. Find the amount of charge on each sphere. (Assume the two spheres have charges q1 and q2 = qu) W 11. [0/0.62 Points] | | l : : L 5'. l5 | l l l | l m n (D q1 = 15.06e-8 x Your response differs from the correct answer by more than 100%. C q2 = 9.52 x Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. C Need Help? _' 13. [-/0.66 Points] DETAILS SERCP11 15.XP.014. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A thin, hollow sphere has a charge q = -1.65 nC evenly distributed over its surface. The radius of the charged sphere is 1.14 m and the radii of two spherical Gaussian surfaces are a = 0.500 m and b = 1.50 m, respectively. (See the figure below.) A charge of Q = 4.90 nC is placed at the center of the charged sphere. (a) How much charge is inside the inner Gaussian surface? nc (b) Find the electric flux through the inner Gaussian surface. N . m /c (c) Find the electric field there, by dividing by the sphere's area. N/C (d) How much charge is inside the outer dashed sphere? nc (e) Find the electric flux through the outer Gaussian surface. N . m /c (f) Find the electric field strength on that surface. N/C Need Help? Read It14. [-/0.66 Points] DETAILS SERCP11 15.8.P.053.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose the conducting spherical shell in the figure below carries a charge of 2.80 nC and that a charge of -1.20 nC is at the center of the sphere. If a = 1.60 m and b = 2.40 m, find the electric field at the following. (a) r = 1.50 m magnitude N/C direction ---Select--- E (b) r = 2.20 m magnitude N/C direction ---Select--- (c) r = 2.50 m magnitude N/C direction ---Select--- E (d) What is the charge distribution on the sphere? inner surface nc outer surface nc Need Help? Read It Master It15. [l0.76 Points] SERCP11 15.A.P.059. ASK YOUR TEACHER PRACTICE ANOTHER A proton movin at v = 3.40 x 106 m/s enters the re ion between two parallel plates with charge densities of magnitude 0' = 3.60 x 10'9 C/m2 (see the figure below . g o g + ++++++a (3) Calculate the magnitude of the electric eld (in WC) between the plates. N/C (b) Calculate the magnitude of the electric force (in N) acting on the proton. N (c) Find the y-location of the proton (in m) when it reaches the far edge of the plates, a horizontal distance d = 4.50 x 10'2 m from where it entered. Assume that the proton does not hit either of the plates. (Assume the +x direction is to the right and the +y direction is up.) m Need Help? 12. [-/0.66 Points] DETAILS SERCP11 15.8.P.050. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A charge of q = 5.40 x 10- C is spread evenly on a thin metal disk of radius 0.110 m. HINT (a) Calculate the charge density (in C/m2) on the disk. C/m2 (b) Find the magnitude of the electric field (in N/C) just above the center of the disk, neglecting edge effects and assuming a uniform distribution of charge. N/C Need Help? Read It Watch It11. [-/0.66 Points] DETAILS SERCP11 15.8.P.049. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The figure below shows a closed cylinder with cross-sectional area A = 2.40 m2. E -.... .... The constant electric field E has magnitude 2.60 x 10 N/C and is directed vertically upward, perpendicular to the cylinder's top and bottom surfaces so that no field lines pass through the curved surface. Calculate the electric flux (in (N . m2)/C) through the cylinder's top and bottom surfaces. HINT (a) top surface N . m2 C (b) bottom surface N . m2 (c) Determine the amount of charge (in C) inside the cylinder.10. [-/0.66 Points] DETAILS SERCP11 15.8.P.048. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A charge q = +6.27 MC is located at the center of a regular tetrahedron (a four-sided surface) as in figure below. + (a) Find the magnitude of the total electric flux through the tetrahedron. N . m /c (b) Find the magnitude of the electric flux through one face of the tetrahedron. N . m2/c Need Help? Read It9. [-/0.66 Points] DETAILS SERCP11 15.8.OP.044. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The figure below shows a uniform electric field of magnitude E = 440 N/C making an angle of q = 61.50 with a flat surface of area A = 3.00 m. What is the magnitude of the electric flux through this surface (in N . m2/C)? E N . m /c Need Help? Read It