Three small spheres, each with charge 4.00 mC , are arranged in a line, with sphere 2...

Three small spheres, each with charge 4.00 mC , are arranged in a line, with sphere 2 in the middle. Adjacent spheres are initially 7.50 cm apart. The spheres have masses m1= 10.0 g , m2= 95.0 g , and m3= 10.0 g , and their radii are much smaller than their separation. The three spheres are released from rest. Ignore gravity and any possible friction.

-------

What is the magnitude of the acceleration of sphere 1 just after it is released? m/s^2

What is the speed of sphere 1 when the spheres are far apart? m/s

Expert Solution

genius_generous answered 1 month ago

Three spheres are arranged in the xy plane as in the figure below. The first sphere,...

Three spheres are arranged in the xy plane as in the figure below. The first sphere, of mass m1 = 15.6 kg, is located at the origin; the second sphere, of mass m2 = 4.47 kg is located at (−6.00, 0.00) m; and the third sphere, of mass m3 = 2.00 kg is located at (0.00, 5.00) m.Assuming an isolated system, what is the net gravitational force on the sphere located at the origin?

Two conducting spheres are each given a charge Q. The radius of the larger sphere is...

Two conducting spheres are each given a charge Q. The radius of the larger sphere is three times greater than that of the smaller sphere. If the electric field just outside of the smaller sphere is E0, then the electric field just outside of the larger sphere is: E0 1/3 E0 9 E0 3 E0 1/9 E0

Small charged spheres are arranged as follows: Description Magnitude of Charge x (cm) y (cm) Plastic...

Small charged spheres are arranged as follows: Description Magnitude of Charge x (cm) y (cm) Plastic sphere that was rubbed with wool 4.1 nC 2.7 0 Glass sphere that was rubbed with silk 3.4 nC -1.1 1.1 Determine the signs of the charged spheres. Explain. Determine the net electric field (magnitude and direction) at the origin. Using your result from part b, determine the net electric force (magnitude and direction) on a proton initially placed at rest at the origin....

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...

The figure below shows four small spheres, each with a positive charge, at the corners of...

The figure below shows four small spheres, each with a positive charge, at the corners of a square. The length of each side of the square is a. The sphere at top-right has a charge of q; the one at lower-left has a charge of 2.0q; the other two each have a charge of 5.0q. (Assume that the +x-axis is to the right and the +y-axis is up along the page.) 2.0q5.0q5.0q Four positive charges are organized in a square...

Two spheres are located 0.60 m from one another. Sphere A with a charge of +...

Two spheres are located 0.60 m from one another. Sphere A with a charge of + 2 x 10–4 C, is fixed in position, but sphere B with a charge of +4 x 10–5 C is free to move. Spheres A and B each have a mass of 10 g. How far is sphere B (assume vi=0) when it reaches a speed of 80 m/s from sphere A? Please show and explain as much work as possible. Thank you!

Question