Three balls, with charges of +4q, -2q, and -q, are equally spaced along a line. The spacing between neighboring balls is r. We can arrange the balls in three different ways, as shown in the figure. In each case, the balls are in an isolated region of space very far from anything else. Treat the balls as point charges. 1 +4 +4q ||||||||||||| |||||||||||| +49 ||||||||||||| I (a) Rank the arrangements according to their potential energy, from most positive to most negative. See if you can do this without explicitly calculating the potential energy in each case. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) (b) Using q = 6.50 x 10-6 C and r = 30.0 cm, calculate the electrostatic potential energy in each of the cases above.

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Three balls, with charges of +4q, -2q, and -q, are equally spaced along a line. The spacing between neighboring balls is r. We can arrange the balls in three different ways, as shown in the figure. In each case, the balls are in an isolated region of
space very far from anything else. Treat the balls as point charges.
1
211
311
+4g
-29
+4q
1
-29
+4g
-9
-9
-29
(a) Rank the arrangements according to their potential energy, from most positive to most negative. See if you can do this without explicitly calculating the potential energy in each case. (Use only ">" or "=" symbols. Do not include any
parentheses around the letters or symbols.)
(b) Using q = 6.50 x 10-6 C and r = 30.0 cm, calculate the electrostatic potential energy in each of the cases above.
1:
J
2:
J
3:
Transcribed Image Text:Three balls, with charges of +4q, -2q, and -q, are equally spaced along a line. The spacing between neighboring balls is r. We can arrange the balls in three different ways, as shown in the figure. In each case, the balls are in an isolated region of space very far from anything else. Treat the balls as point charges. 1 211 311 +4g -29 +4q 1 -29 +4g -9 -9 -29 (a) Rank the arrangements according to their potential energy, from most positive to most negative. See if you can do this without explicitly calculating the potential energy in each case. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) (b) Using q = 6.50 x 10-6 C and r = 30.0 cm, calculate the electrostatic potential energy in each of the cases above. 1: J 2: J 3:
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