Sara is preparing for her birthday party. She rubs three balloons with her wool scarf, then hangs them from the gate with string, as shown in the figure. The balloons repel, and she notices that from directly below, each balloon is at a vertex of a horizontal, equilateral triangle with sides equal to S= 32.7 cm. Each balloon has equal mass of m= 1.84 g and carries equal charge. You can model each balloon as a particle, with its center L= 49.5 cm from the point of support. What is the charge (in µC) on one balloon? 0.395 x Ⓡ

An infinite wire (R = 0.05 c m) is charged to λ = 2.5 μ C / c m.  An electron is knocked out of the wire.  Right at the edge, the electron flies outward at 6 × 10 7 m / s.  How far does it travel before it stops and returns?

An alpha particle (ααalpha), which is the same as a helium-4 nucleus, is momentarily at rest in a region of space occupied by an electric field. The particle then begins to move. Find the speed of the alpha particle after it has moved through a potential difference of −3.45×10−3 V . The charge and the mass of an alpha particle are q_a = 3.20×10−19 C and m_a = 6.68×10−27 kg , respectively. a)What is the value of the change in potential energy, ΔU=U_f−U_i, of the alpha particle? b)What is the final velocity of the alpha particle, (vf)αv_af? c)If you had carried out the algebra using variables before plugging numbers into your expressions, you would have found that (vf)α=−2qαΔVmα−−−−−−√ where ΔV is measured in volts. To verify that this expression for (vf)α has the correct units of velocity, you need to perform some unit analysis. Begin by finding the equivalent of a volt in terms of basic SI units. What is a volt in terms of meters (m), seconds (s), kilograms (kg), and coulombs (C)?…

Two hard rubber spheres, each of mass m = 14.9 g, are rubbed with fur on a dry day and are then suspended with two insulating strings of length L = 5.25 cm whose support points are a distance d = 3.06 cm from each other as shown in the figure below. During the rubbing process, one sphere receives exactly twice the charge of the other. They are observed to hang at equilibrium, each at an angle of 0 = 10.4° with the vertical. Find the amount of charge on each sphere. (Enter your answers from smallest to largest.)