A small metal sphere, A, carrying a charge of +15.0μC is at the origin. An identical...

A small metal sphere, A, carrying a charge of +15.0μC is at the origin. An identical sphere, B, carrying a charge of -18.0μC is at~ xB= 4.0ˆi cm and a third sphere, C,carrying +25.0μC is at~x C= 3.0ˆj cm.

(a) Find the total electrical force exerted on sphere A.

(b) Let us view sphere A as a probe charge which we are using to measure the field due to spheres B and C. Use your result from part b) to find the electric field (note that this is a vector) at the origin.

(c) Sphere A is released so that it is free to move. It has a mass of 5.0 g and no forces other than the electrostatic forces found in a) act on it. What is its acceleration at the instant of release?

(d) A short time later will your answer from c) still be the correct acceleration for sphere A?

(e) Spheres B and C are touched together and then returned to their original locations.Sphere A is also returned to its original location. Now what is the force on sphere A?

Expert Solution

genius_generous answered 6 months ago

A small metal sphere, A, carrying a charge of +15.0 µC is at the origin. An...

A small metal sphere, A, carrying a charge of +15.0 µC is at the origin. An identical sphere, B, carrying a charge of -18.0 µC is at ~xB = 4.0ˆi cm and a third sphere, C, carrying +25.0 µC is at ~xC = 3.0ˆj cm. (a) Find the total electrical force exerted on sphere A. (b) Let us view sphere A as a probe charge which we are using to measure the field due to spheres B and C. Use...

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +6q....

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +6q. Sphere B carries a charge of +q. Sphere C carries no net charge. Spheres A and B are touched together and then separated. Sphere C is then touched to sphere A and separated from it. Last, sphere C is touched to sphere B and separated from it. For the following questions, express your answers in terms of q. (a) How much charge ends up...

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of -10q....

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of -10q. Sphere B carries a charge of -3q. Sphere C carries no net charge. Spheres A and B are touched together and then separated. Sphere C is then touched to sphere A and separated from it. Lastly, sphere C is touched to sphere B and separated from it. 1. How much charge ends up on sphere C? 2. What is the total charge on the...

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +9q....

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +9q. Sphere B carries a charge of -q. Sphere C carries no net charge. Spheres A and B are touched together and then separated. Sphere C is then touched to sphere A and separated from it. Lastly, sphere C is touched to sphere B and separated from it. (a) What is the ratio of the final charge on sphere C to q? What is the...

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +3q....

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +3q. Sphere B carries a charge of -q. Sphere C carries no net charge. Spheres A and B are touched together and then separated. Sphere C is then touched to sphere A and separated from it. Lastly, sphere C is touched to sphere B and separated from it. (a) What is the ratio of the final charge on sphere C to q? What is the...

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +2q....

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +2q. Sphere B carries a charge of +3q. Sphere C carries no net charge. Spheres A and B are touched together and then separated. Sphere C is then touched to sphere A and separated from it. Last, sphere C is touched to sphere B and separated from it. For the following questions, express your answers in terms of q. (a) How much charge ends up...

A metal sphere carrying an evenly distributed charge will have spherical equipotential surfaces surrounding it. Suppose...

A metal sphere carrying an evenly distributed charge will have spherical equipotential surfaces surrounding it. Suppose the sphere❝s radius is 52.5cm and it carries a total charge of +1.45μC . A) Calculate the potential of the sphere❝s surface.(with the appropriate) B) You want to draw equipotential surfaces at intervals of 500 V outside the sphere❝s surface. Calculate the distance between the first and the second equipotential surfaces, and between the 20th and 21st equipotential surfaces.

A small metal sphere has a mass of 0.15 g and a charge of -21.0 nC....

A small metal sphere has a mass of 0.15 g and a charge of -21.0 nC. It is 10.0 cm directly above an identical sphere that has the same charge. This lower sphere is fixed and cannot move. If the upper sphere is released, it will begin to fall. What is the magnitude of its initial acceleration?

Metal sphere A of radius 11.0 cm carries 9.00 μC of charge, and metal sphere B...

Metal sphere A of radius 11.0 cm carries 9.00 μC of charge, and metal sphere B of radius 20.0 cm carries −2.00 μC of charge. If the two spheres are attached by a very long conducting thread, what is the final distribution of charge on the two spheres? Charge on sphere A (μC)? Charge on sphere B (μC)?

Explain the origin of d-d, metal-to-ligand charge transfer, and ligand-to-metal charge transfer transitions for octahedral metal...

Explain the origin of d-d, metal-to-ligand charge transfer, and ligand-to-metal charge transfer transitions for octahedral metal complexes with appropriate molecular orbital diagrams. Also, comment on the allowance of these transitions using appropriate selection rules.

Question