CP At time t = 0 a proton is a distance of 0.360 m from a very large insulating sheet of charge and is moving parallel to the sheet with speed 9.70 × 10² m/s. The sheet has uniform surface charge density 2.34 × 10-⁹C/m². What is the speed of the proton at t = 5.00 × 10-8 s?
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- Mehul.986n.The electric field due to a charged circular disk of radius R and uniform charge density o along a perpendicular bisector of length x through the exact center of the disk is: E, (1 2€0 R²+x² A system is made of 2 12 cm diameter charged disks that are parallel to each other, spaced 2 cm apart. The left disk has a charge of -7.1 mC and the right disk has a charge of -7.1 mC. What is the area charge density o (in C/m^2) of the left charged disk?In the figure an electron (e) is to be released from rest on the central axis of a uniformly charged disk of radius R. The surface charge density on the disk is +4.12 µC/m?. What is the magnitude of the electron's initial acceleration - m/s² if it is released at a distance R/148 from the center of the disk? 10. e (a) 3.07x1015 (b) 2.08x1015 (c) 4.52x1015 (d) 5.16x1015 (e) None of the above
- A point charge q1 = +5.00 micro Coulomb is held fixed in space. From a horizontal distance of 6.00 cm, a small sphere with mass 4.00 x 10-3 kg and charge q2 = +2.00 micro Coulomb is fired toward the fixed charge with an initial speed of 40.0 m/s. Gravity can be neglected. What is the acceleration (in m/s2) of the sphere at the instant when its speed is 25.0 m/s? The following answers are not considered correct: 33100 33000 33080 33062.50132 33062.5 33062 -33000 -33062A sphere with charge 5.00x105 C hangs from a thread near a very large, charged insulating sheet that has uniform charge density of -2.00x10-7 C/m². What is the mass of the sphere if the angle of the thread is 0=10°? Please write your answer in kg.Determine the magnitude of the electric field at the surface of a lead-207 nucleus, which contains 82 protons and 125 neutrons. Assume the lead nucleus has a volume 207 times that of one proton and consider a proton to be a sphere of radius 1.20 ✕ 10-15 m. N/C
- Two spherical shells have a common center. A-2.50 x 106 C charge is spread uniformly over the inner shell, which has a radius of 0.050 m. A +4.00 x 106 C charge is spread uniformly over the outer shell, which has a radius of 0.15 m. Find the magnitude and direction of the electric field at a distance (measured from the common center) of (a) 0.20 m, E= i (b) 0.10 m, E = i (c) 0.025 m. E = iA very small object with mass 8.20 * 10-9 kg and positive charge 6.50 * 10-9 C is projected directly toward a very large insulating sheet of positive charge that has uniform surface charge density 5.90 * 10-8 C/m2. The object is initially 0.400 m from the sheet. What initial speed must the object have in order for its closest distance of approach to the sheet to be 0.100 m?A helium nucleus (mass = 6.64×10−27kg, net charge = +2e)is fired directly toward a spherical conductor on a radially inward path. The conductor, which is fixed in place, has radiusR= 0.55 m and surface charge densityσ= +12 nC/m2. If the helium nucleus is initially very far away from the conductor, then what initial speed must it be given so that it just barely avoids touching the surface of the conductor before being repelled back to infinity? Make sure to draw a voltage vs. position curve for the spherical conductor as part of your representation.
- a) What is the speed of the proton before it hits the surface of the sphere? b) What is the sheets surface charge density?Problem 22.01. Two charges move on opposite direction. Charge Q₁ 5.00 μC moves in the k direction with a velocity 4.70 × 105 m/s and charge Q2 1.25 μC moves in the - direction with a velocity 2.35 × 105 m/s. At the time that these particles cross the y-axis, charge Q₁ is a distance 4.00 cm from the origin in the + direction and charge Q2 is a distance 2.00 cm form the origin in the −ĵ direction. (a) Find the magnetic field at the origin. (b) Find the electric field at the origin. (c) Find the Lorentz force felt by a test charge q = 1.00 nC placed at the origin in this instant. =In part (a) of the figure an electron is shot directly away from a uniformly charged plastic sheet, at speed v, = 3.00 x 105 m/s. The sheet is nonconducting, flat, and very large. Part (b) of the figure gives the electron's vertical velocity component v versus time t until the return to the launch point. What is the sheet's surface charge density? Assume t, = 14.0 ps. -e -Vs t (ps) (a) (b) Number i Units v (105 m/s)