If a proton and electron are released when they are 2.0 m apart, find the initial acceleration of electron (in m/s²). The answer (in fundamental SI unit) is_ - (type the numeric value only)

An carly model of the atom, proposed by Rutherford after his discovery of the atomic nucleus, had a positive point charge +Ze (the nucleus) at the center of a sphere of radius R with uniformly distributed negative charge -Ze. Z is the atomic number, the number of protons in the nucleus and the number of clectrons in the negative sphere. (a) Show that the clectric ficld inside this atom is Ze Ein = 1 r2 R3 (b) What is E at the surface of the atom? Is this the expected value? Explain. (c) A uranium atom has Z 92 and R = 0.10 nm. What is the clectric ficld strength %3D at r =

f a proton and electron are released when they are 2.0  m apart, find the initial acceleration of electron (in m/s2). The answer (in fundamental SI unit) is ___________ (type the numeric value only)

The electric field in a region is radially outward with mag- nitude E = ar. Calculate the charge contained in a sphere of radius R centered at the origin. Calculate the value of charge if a = 100 V/m2 and R = 0.30 m. R Fig. 2.60 dr

1) A proton (p) and electron (e-) are released when they are 4 Å (4 Angstroms). Find the initial accelerations of each particle, from one of the selections below. a) a(p) = 8.63 x 1017 m/s2, a(e-) = 1.58 x 1021 m/s2; b) a(p) = 3.4 x 1018 m/s2, a(e-) = 6.3 x 1021 m/s2; c) a(p) = 4.315 x 1016 m/s2, a(e-) = 7.9 x 1020 m/s2;  d) a(p) = 3.45 x 1018 m/s2, a(e-) = 6.32 x 1021 m/s2. 1) Two small spheres are placed a distance 20 cm apart and have equal charge. How many excess electrons must be placed on each sphere if the magnitude of the Coulomb repulsive force is F = 3.33 x 10-21 N? a) 2 x 103; b) 350; c) 760;  d) 1.2 x 103. 3）Three individual point charges are placed at the following positions in the x-y plane: Q3 = 5.0 nC at (x, y) = (0,0); Q2 = -3.0 nC at (x, y) = (4 cm, 0); and Q1 = ? nC at (x, y) = (2 cm,0); What is the magnitude, and sign, of charge Q1 such that the net force exerted on charge Q3, exerted by charges Q1 and Q2, is zero? a) Q1 = + 0.5 nC; b) Q1 = - 0.25 nC; c) Q1 = +…

need help solving for C A constant electric field accelerates a proton from rest through a distance of 1.55 m to a speed of 1.97 ✕ 105 m/s. (The mass and charge of a proton are  mp = 1.67 ✕ 10−27 kg  and  qp = e = 1.60 ✕ 10−19 C.) HINT (a) Find the change in the proton's kinetic energy (in J).  3.24E-17 J (b) Find the change in the system's electric potential energy (in J).   The work done by the electric force and the change in electric potential energy are related by  WFe = −ΔPE. This relationship holds for any conservative force: the work done by any conservative force equals the negative of the change in the associated potential energy.  -3.24E-17J (c) Calculate the magnitude of the electric field (in N/C).   N/C

The space a ≤ r ≤ c < b between cylindrical capacitors of length L, radius a,b and is filled with a dielectric constant K, and the remaining space is vacuum. The potential difference between the capacitor plates is V. (a) Find the electric capacitance. (b) Find the electric field E, electric displacement D, and polarization P in c < r < b

At some instant the velocity components of an electron moving between two charged parallel plates are v. and vy. Suppose the electric field between the plates is E (it is uniform and points only in the y direction). NOTE: Express your answers in terms of the given variables, using e for the fundamental charge and me for the mass of an electron. (a) What is the magnitude of the acceleration of the electron? E a= X me (b) What is the y-component of electron's velocity when its x coordinate has changed by a distance d? Ed Vd=vy + X Ux me

Consider an electron, of charge magnitude e = 1.602 × 10-1⁹ C and mass m₂ = 9.11 × 10-31 kg, moving in an electric field with an electric field magnitude E = 4 x 10² N/C, similar to what Thana observed in the simulation. Let the length of the plates be L = 50 cm, and the distance between them be d = 20 cm. Find the maximum speed, v, the electron could be moving if it enters the space halfway between and parallel to the two plates to just barely strike one of the plates. m/s If the field is pointing upward, which plate will Thana conclude the electron strikes at this speed? O The upper plate, because the electron charge magnitude is positive. O The upper plate, because we are only considering the magnitude of the electron charge, and magnitudes are always positive. O The lower plate, because the electron is attracted to the negative plate. O The lower plate, because the electron is negatively charged.

A proton is fired from far away towards the nucleus of a mercury atom. Mercury is element number 80, and the diameter of the nucleus is 14.0 fm. If the proton is fired at a speed of 13600000 m/s, what is its closest approach to the surface of the nucleus (in fm)? Assume that the nucleus remains at rest.