A charged ball with mass, m = 0.011 kg, and excess charge, q = -640 μC, is released from rest on the equipotential contour (dashed line) shown in the figure. (d) Determine the magnitude and direction of the ball's acceleration. m/s² toward plate B a = -5.81e-2 (e) Calculate the work done by the electric field on the charged ball by the time it hits the plate. WE = (f) What was the change in the ball's kinetic energy by the time it hit the plate? ΔK = (g) How fast was the ball moving when it hit the plate? m/s V =
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- A proton is acted on by an uniform electric field of magnitude 363 N/C pointing in the negative y direction. The particle is initially at rest. (a) In what direction will the charge move? (b) Determine the work done by the electric field when the particle has moved through a distance of 2.95 cm from its initial position. (in Joules)(c) Determine the change in electric potential energy of the charged particle. (J)(d) Determine the speed of the charged particle. (m/s)An immovable charge Q₁ = +2.0µC is placed in fixed location at the origin on an (x, y) coordinate system. Another charge, Q₂ = +4.0μC is allowed to move near the first charge. How much work does it take to move this charge from it's starting location of (-3cm, 4cm) to the following locations and if the time to make this change is 10 ms how much power was output during each process: (a) (-1.5cm, 2cm) (b) (-6cm, 8cm) (c) (3cm, 4cm)In the image given there are 3 charges along the y axis. it is your job to find an expression for electric potential at point P when : d <The electric field in a particular region of space is found to be uniform, with a magnitude of 500 N/C and parallel to the +y direction. (a) What is the change in electric potential energy of a charge q=2.1 μC if it is moved from (x, y) = (20 cm, 45 cm) to (5 cm, 30 cm)? ml (b) What is the change in electric potential energy if the charge is moved the same distance along the x axis? mjA uniform electric field of magnitude 200 V/m is directed in the positive x-direction. A 17 µC charge moves from the origin to the point (x, y) = (20 cm, 50 cm). (a) What was the change in the potential energy of this charge?A point charge q1 = 4.69 x 10-6 C is held fixed at the origin of a coordinate system. A second charge q2 = -3.16 x 10-6 C is initially at the %3D coordinates (0.149, 0) m and is then moved to the coordinates (0.215, 0) m. What change in potential energy results from moving q2?A particle of charge Q and mass M enters an electric field with speed Vo and is slowed down to zero speed over a distance d. Find the work done on the particle by the electric force. QEd -MV0²/2 MV ²/2 FedCompute for the potential difference, in volts, in moving a charge from A(4, -2, -3) m to B(9, 3, -8)m against the electric field due to a disk charge of radius 9 m on the plane x = 0. The disk has a total charge of 6 nC.In Figure (a), we move an electron from an infinite distance to a point at distance R = 2.50 cm from a tiny charged ball. The move requires work W = 2.81 × 10-13 J by us. (a) What is the charge Q on the ball? In Figure (b), the ball has been sliced up and the slices spread out so that an equal amount of charge is at the hour positions on a circular clock face of radius R = 2.50 cm. Now the electron is brought from an infinite distance to the center of the circle. (b) With that addition of the electron to the system of 12 charged particles, what is the change in the electric potential energy of the system? (a) Number i (b) Number i |R-| (a) Units Units < Det er (b) < A