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Home work foy ch 23 1. A cork ball that is covered with conducting paint and charged to 4 × 10-10C is touched by an identical but un- charged cork ball; the balls then separate. This second cork ball is then touched by a third uncharged cork ball, and they separate. What is the charge of each ball at the end. and how many excess electrons does each ball have? 2. An electron and a proton attract each other with a 1/r elec- tric force, just like the gravitational force. Suppose that an elec- tron moves in a circular orbit about a proton. (a) If the period of the circular motion is 24 h, what is the radius of the orbit? (b) If the period is 4 x 10-16 s, as it is in a hydrogen atom, what is the radius of the orbit? 3 Two cork balls, each of mass 0.20 g. are hung by insulating threads 20.0 cm long from a common point. The cork balls ane given an equal charge by a Teflon rod. The balls repel and de- flect as shown in Fig. 3-1 What charge g was given to each cork ball? Assume uniform charge. 9. 20 cm20cm iS in pa spi 10 A FIGURE 3-
Three unknown charges q q2, and 93 exert forces on each other. When qi and q are 15.0 cm apart (qs is absent), they at tract each other with a force of 1.4 x 10-2 N, when q2 and q3 are 20.0 cm apart (91 is absent), they attract with a force of 3.8 10-2 N. When qi and q3 are 10.0 cm apart (92 s absent), they repel each other with a force of 5.2 X 102 N. Find the magnitude and sign of each charge. 4. 5. Charges q. 2q. -4q, and -2q ( is positive) occupy the four corners of a square of sides 2L, centered at the origin of a coor- dinate system (Fig.5 -1 ). (a) What is the net force on charge q due to the other charges? (b) What is the force on a new charge Q placed at the origin? 2 +a l A FIGURE 5-I
6. Charges +q,-q, tq, and-q are placed along the x-axis, at positions x = 0, x = 1 cm, x = 2 cm. and x = 3 cm, respec- tively. What is the force on a charge Q +34 placed at the point (x, y) ( 1.5 cm. y0), where yo is a variable? 7. Find the electric field due to the nucleus of an atom of gold (Z = 79) at a point I nmn from the nucleus. Treat the nucleus as a point. What is the force on an electron at that point? 8. Five charges are located at five of the corners of a regular hexagon with sides of 10 cm, as shown on Fig. 8-1 (see . below). Find the electric field at the sixth corner of the hexagon. \E= ? ㄧㄧㄨ Fig.8-1
9, A charge-q is located at y =-1/2, and a second charge +q is located at y /2 (Fig. 91 see below . (a) What is the electric field at the origin? (b) If the charge at -(/2 were instead +q, what would the electric field be at the origin? (c) For part (b), what would the electric field be in the entire xz-plane specified by y 0? Fig .9-I 1o. Calculate the electric field due to an infinitely long, thin, uni- formly charged rod with a charge density of 0.3 uC/m at a dis- ance 20 cm from the rod. Assume that the rod is aligned with the x-axis. 1 An electron of speed 3 x 10 m/s enters a region of con- stant electric field at an angle of 40° as shown in Fig.」l-1 How far away from where the electron enters will it strike the bottom plate? 40 Fig 11-1
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