Two identical conducting spheres labeled A and B have net charges q₁ = 4 q_o (>0) and q₂ = 6 q_o respectively. A third conducting sphere identical to the others is initially uncharged. This third sphere is touched first to the first sphere and then to the second sphere before being removed from the area. The net charge on the second sphere will now be ____ x q_o.

Two identical conducting spheres labeled A and B have net charges q₁ = 4 q_o (>0) and q₂ = - 6 q_o respectively. A third conducting sphere identical to the others is initially uncharged. This third sphere is touched first to the first sphere and then to the second sphere before being removed from the area. The net charge on the second sphere will now be ____ x q_o.

The following information pertains to questions 3-12.

Two very small, identical, conducting spheres have net charges q₁ = 2 q_o (>0) and q₂ = - 6 q_o and are separated by a distance such that the magnitude of the electrostatic force exerted on the first particle (the one with charge q₁) is 36 mN. Refer to the figure at the right. The labeled points in the space around the two charges are equidistant from one another and/or the nearer charge.

The magnitude of the electrostatic force acting on the second particle is ___ mN.

If the distance between the particles was increased to 3 d_o, the magnitude of the electrostatic force acting on the first particle would be ___ mN.

If the magnitude of the net charge on the second particle was doubled, the magnitude of the electrostatic force acting on the second particle would be ___ mN.

If the two spheres were momentarily touched together and returned to their original positions, the magnitude of the electrostatic force acting on the first sphere would be ___ mN.

The magnitude of the electric field at the point labeled p₁, i. e., |E(p₁)| is ___ |E(p₆)|.

|E(p₅)| is ___ |E(p₂)|.

The direction of the electric field at the point labeled p₃ is ___.

If a very small metallic sphere with a net negative charge was placed at point p₈, |E(p₃)| would ___.

If a very small metallic sphere with a net positive charge was placed at point p₆, |E(p₃)| would ___.

If the two spheres were momentarily touched together and returned to their original positions, |E(p₃)| would ___.

The following information pertains to questions 13-22.

In the figure at the right, there are two small spherical conducting particles with radii r₁ = r₂ = r_o. The particle labeled 1 has a net charge q₁ = 6 q_o (>0) and a mass m₁ = m_o. The particle labeled 2 has a net charge q₂ = 2 q_o and mass m₂ = 3 m_o. The particles are separated by a distance d_o such that the magnitude of the electrostatic force exerted by particle 1 on particle 2 is 24 mN. The point in space labeled p₁ is midway between the two particles and the point p₂ is along the line through the two particles a distance d_o/2 from the particle labeled #1.

If both particles were free to move under the influence of their mutual electrostatic interaction only, the particle labeled 1 would accelerate toward the ___ of this page.

If both particles were free to move under the influence of their mutual electrostatic force only and the magnitude of the acceleration of the first particle was a_o, the magnitude of the acceleration of the second particle would be a_o x ___.

The magnitude of the electrostatic force exerted by particle 2 on particle 1 is ___ mN.

If the distance between the two particles was changed to d_ox2, the magnitude of the electrostatic force exerted on the first particle would be ___ mN.

If the magnitude of the net charge on both particles was simultaneously doubled, the magnitude of the electrostatic force exerted on the second particle would be ___ mN.

If a charge q_o was removed from the charge on the second particle and added to the charge on the first particle, the magnitude of the electrostatic force exerted on the first particle would be ___ mN.

If the two particles were touched together momentarily and then returned to their original positions, the magnitude of the electrostatic force exerted on the first particle would be ___ mN.

The magnitude of the electric field at the point in space labeled p₁, i.e., |E(p₁)| is ___ |E(p₂)|.

If the two particles were momentarily touched together and returned to their original positions, the magnitude of the electric field at the point labeled p₂, i.e., |E(p₂)|, would ___.

If a very small metallic sphere with a net positive charge was placed at the point labeled p₃, |E(p₂)| would ___.