a d, b. Figure P23.36
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You are working for the summer at a research laboratory. Your research director has devised a scheme for holding small charged particles at fixed positions. The scheme is shown. An insulating cylinder of radius a and length L >> a is positively charged and carries a uniform volume charge density ρ. A very thin tunnel is drilled through a diameter of the cylinder and two small spheres with charge q are placed in the tunnel. These spheres are represented by the blue dots in the figure. They find equilibrium positions at a distance of r on opposite sides of the axis of the cylinder. Your research director has had great success with this scheme. (a) Determine the specific value of r at which equilibrium exists. (b) Your research director asks you see if he can extend the system as follows. Determine if it is possible to add transparent plastic tubes as extensions of the tunnel and have the small spheres be in equilibrium at a position for which r > a.
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- esc The nucleus of a 125 Xe atom (an isotope of the element xenon with mass 125 u) is 6.0 fm in diameter. It has 54 protons and charge q = +54e. R 2 R F2 W # 3 80 E $ 4 R Part A What is the electric force on a proton 2.6 fm from the surface of the nucleus? Hint: Treat the spherical nucleus as a point charge. Express your answer with the appropriate units. F= 8.64 Part B μà 1 Submit Previous Answers Request Answer % 5 X Incorrect; Try Again; 4 attempts remaining F5 What is the proton's acceleration? Express your answer with the appropriate units. Value T → HA N 6 C FIC ? Units MacBook Air Y & 7 U * 8 FB ( 9 F9 0 0 P + ReviewThree point charges are located in free space along the x-axis. A positive charge of +2 uC is located at x = 0, a negative charge of -3 μC is located at x = 3 m, and a positive charge of +4 μC is located at x = 6 m. a. Will q1 and q2 attract or repel? Blank 1 b. Will q1 and q3 attract or repel? Blank 2 c. What is the direction of the electrostatic force acting on q1 due to q2? (north, south, east, or west) Blank 3 d. What is the direction of the electrostatic force acting on q1 due to q3? (north, south, east or west) Blank 4 For the following questions, convert your answer into PROPER SCIENTIFIC NOTATION and round the coefficient to two decimal places.(e.g. 5.43 x 10²: 5.43 is the coefficient) What is the magnitude of the electrostatic force on q1 due to q2? Blank 5 x10^Blank 6 N What is the magnitude of the electrostatic force on q1 due to q3? Blank 7x10^Blank 8 N Calculate the net electric force on the positive charge at x = 0 due to the other two charges: Blank 9 x 10^Blank 10 NA thin, insulating rod of length Icarries a linear charge density^(x) that varies with distance according to (x)=Ax (in SI units). The location of the origin is shown in the figure. A point charge q is located a distance I from the end of the rod as shown. a. What are the SI units of the constant A? b. Find the force that the rod exerts on q.