A particle launched between two fixed particles On the x axis, a particle A with charge 5uC is fixed at the origin and a particle B with charge -8uC is fixed at x=4m. Particle C has a mass of 700mg and a charge of -1uC: we place it at x=2m and we give it a speed of 15i m/s. Determine the modulus of its velocity when it is at x=3m

A positively charged particle Q1 = +25 nC is held fixed at the origin. A second charge Q2 of mass m = 9.5 μg is floating a distance d = 45 cm above charge Q1. The net force on Q2 is equal to zero. You may assume this system is close to the surface of the Earth.  Calculate the magnitude of Q2 in units of nanocoulombs.

a) A charge 4Q is located at x = −2l on the x-axis, and a charge Q is located at x = l on the x-axis. Q > 0. Near the origin, a positive test charge q with mass m undergoes small oscillations along the x-axis. What is the frequency ω of these oscillations? (Remember that if F = ma = −kx, then ω2 = k/m).

A hydrogen atom is made up of a proton of charge +Q = 1.6x10-19C and an eledron of charge -Q = 1.6x10-19C. The proton may be regarded as a point charge at r = 0 the center of the atom. The motion of the eledtron causes its charge to be "smeared ouť into a spherical distribution around the proton, so that the electron is equivalentto a charge per unitvolume of (7) =-(Q/ra?)e"lao, where a, = 5.29x10-11 m is called the Bohr radius. (a) Find the total amount of the hydrogen atom's charge that is endosed within a sphere with radius centered on the proton. (b) Find the eledricfield (magnitude and diredion) caused by the charge of the hydrogen atom as a fundtion of (c) Make a graph as a function of rof the ratio of the eledtricfield magnitude to the magnitude of the field due to the proton alone Set up: 1. 1. The charge distribution in this task is spherically symmetric, so you can solve it using Gauss's law. 2. The charge within a sphere of radius r indudes the proton charge Qplus the…

One particle has a mass of 3.71 x 10‍3 kg and a charge of +7.56 µC. A second particle has a mass of 7.17 x 103 kg and the same charge. The two particles are initially held in place and then released. The particles fly apart, and when the separation between them is 0.177 m, the speed of the 3.71 x 103 kg-particle is 126 m/s. Find the initial separation between the particles. V1,B V2,B 92 92 91 Number i Units "B 91

A small metal sphere, carrying a net charge of q1=+2.80uc, is held in a stationary position by insulting supports. A second small metal sphere with a net charge of q2= -7.80uc and mass 1.50 g, is projected the word q1. When the two spheres are 0.800m apart, q2 is moving toward q1 with speed 22.0 m/s. Assume that the two spheres can be treated as point charges. You can ignore the force of gravity. (a) what is the speed of q2 when the spheres or 0.400 m apart? (b) how close does q2 get to q1?

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