(2-10) A charge q1 = -5 µC is located at (x,y)=(0,3) m. Another charge of q2 = +4 µC is located at (4.5,3) m. O (0,0)

Four identical metallic objects carry the following charges: +1.49, +6.33, -4.69, and -9.03 µC. The objects are brought simultaneously into contact, so that each touches the others. Then they are separated. (a) What is the final chatge on each object? (b) How many electrons (or protons) make up the final charge on each object? (a) Number i Units (b) Number i Units

Two metal spheres, each of radius 4.2 cm, have a center-to-center separation of 1.9 m. Sphere 1 has a charge of + 1.5 x 10° C; sphere 2 has a charge of - 3.4 x 108 C. Assume that the separation is large enough for us to assume that the charge on each sphere is uniformly distributed (the spheres do not affect each other). With V= 0 at infinity, calculate in volts (a) the potential at the point halfway between their centers and the potential on the surface of (b) sphere 1 and (c) sphere 2. (a) Number i Units (b) Number i Units (c) Number i Units

In 1910 Rutherford performed a classic experiment in which he directed a beam of alpha particles at a thin gold foil. He unexpectedly observed a few of the particles scattered almost directly backward. This result was not consistent with then current models of atomic structure and led Rutherford to propose the existence of a very dense concentration of positive charge at the center of an atom-the atomic nucleus. The alpha particle has a charge of +2e and the gold nucleus a charge of +79e. Suppose that an alpha particle is initially How close will at a gold nucleus. a great distance from the gold, has a kinetic energy of 3.97 MeV (3.97 x 106 eV), and is headed directly the particle come to the center of the nucleus? Treat the nucleus and the alpha particle as point charges.