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(a) Calculate the potential energy of a system of two

Chapter 23, Problem 60P

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QUESTION:

(a) Calculate the potential energy of a system of two small spheres, one carrying a charge of 2.00 µC and the other a charge of -3.50 µC, with their centers separated by a distance of 0.180 m. Assume that U = 0 when the charges are infinitely separated. (b) Suppose that one sphere is held in place; the other sphere, with mass 1.50 g, is shot away from it. What minimum initial speed would the moving sphere need to escape completely from the attraction of the fixed sphere? (To escape, the moving sphere would have to reach a velocity of zero when it is infinitely far from the fixed sphere.)

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QUESTION:

(a) Calculate the potential energy of a system of two small spheres, one carrying a charge of 2.00 µC and the other a charge of -3.50 µC, with their centers separated by a distance of 0.180 m. Assume that U = 0 when the charges are infinitely separated. (b) Suppose that one sphere is held in place; the other sphere, with mass 1.50 g, is shot away from it. What minimum initial speed would the moving sphere need to escape completely from the attraction of the fixed sphere? (To escape, the moving sphere would have to reach a velocity of zero when it is infinitely far from the fixed sphere.)

ANSWER:

Solution 60P Step 1 : Introduction : In this question, we need to find potential energy of 2 small spheres In the second part, we need to minimum speed required by one of the sphere to escape from the attraction by the other sphere Data given 6 Charge of sphere a Q = a.00 × 10 C Charge of sphere b Q =b3.50 × 10 C 6 Distance between the sphere d = 0.180 m 3 Mass of sphere m = 1.50 g = 1.5 × 10 kg

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