Exam 21: Electrostatics

According to the Bohr model of the atom,an electron orbits the nucleus in a circular orbit.Find the linear speed of an electron in a circular orbit around a proton.Ignore any relativistic or quantum effects. Mass of the electron: 9.11 * 10^-31 kg Mass of the proton: 1.67 *10^-27 kg Radius of orbit: 5.29 *10^-11 m

Identical point charges Q are placed at each of the four corners of a 1.0 m * 2.0 m rectangle.If Q = 35 µC,what is the magnitude of the electrostatic force on any one of the charges?

According to the Bohr model of the atom,an electron orbits the nucleus in a circular orbit.Find the acceleration of an electron in a circular orbit around a proton.Ignore any relativistic or quantum effects. Mass of the electron: 9.11 * 10^-31 kg Mass of the proton: 1.67 * 10^-27 kg Radius of orbit: 5.29* 10^-11 m

When two charges are separated by a distance d,the magnitude of the electrostatic force between them is F. What would be the magnitude of the electrostatic force between them if the separation distance was d/2?

In Bohr's model of the hydrogen atom an electron revolves in a circular orbit of radius 0.053 nm around a proton.The number of revolutions made by the electron in one second is

Two spheres carry electric charge,and a third charged sphere is now placed somewhere on the line that runs through the two spheres' centers.If the result of the placement of the third charge is that there is no net electrostatic force on each of the two original spheres,what can be said?

Three charges of equal magnitude Q are held in the configuration shown.If a small positive charge,q,is placed at the origin what will be the magnitude and direction of the force it experiences? (Note: Pay attention to the sign on each of the three charges.)

Three point charges are placed on the x-axis as shown.Assume that Q1 = 2.40 $\mu$ C,Q2 = -Q1,and Q3 = Q1.The coordinates of the point charges are x1 = -0.100 m,x2 = 0.120 m,x3 = 0.300 m.What is the force (in N)on Q2?

Two initially uncharged identical metal spheres 1 and 2 are connected by an insulating spring (unstretched length of 0.68 m).Charge +6.2 $\mu$ C is placed on the first sphere and -6.2 $\mu$ C on the second sphere,causing the spring to contract to a length of 0.43 m.If someone coats the spring with metal to make it conducting,what is the new length of the spring? Recall that the force exerted by a spring is k $\Delta$ x,where $\Delta$ x is the change in the spring's length from its unstretched/uncompressed length.

For a hydrogen atom of radius 10^-10 m how does the ratio of the gravitational force between the electron and the proton to the electrostatic force F_g/F_e change if the atomic radius is doubled?