(6%) Problem 12: Consider the arrangement of three small charged spheres, each o

Question

(6%) Problem 12: Consider the arrangement of three small charged spheres, each of mass 13 g, shown in the figure. The spheres have equal charges of 65 nC and are positioned on the vertices of an isosceles triangle, with side length 69 cm and base 13 cm. Randomized Variables m-13 g a= 69 cm b 13 cm Otheexpertta.com > If these spheres are released at the same time, how fast, in meters per second, will they be moving when they are infinitely far away form each other? Grade Summary Deductions Potential v2.06519 0% 100% 789 HOME sin0 cotan0asin acos0 atan0 acotan sinh0 cosh0tanh cotanh0 cos tan Submissions Attempts remaining: Z % per attempt) detailed view END 0% 0% 0% O Degrees Radians BACKSPACE I DELI CLEAR Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback.

Explanation / Answer

Here ,

let the speed of the spheres when they are very far away is u

for this system

final kinetic energy = initial potential energy

3 * 0.50 * m * u^2 = 2 * k * q^2/a + k * q^2/b

3 * 0.50 * 0.013 * u^2 = 2 * 9 *10^9 * (65 *10^-9)^2/0.69 + 9 *10^9 * (65 *10^-9)^2/0.13

solving for u

u = 0.14 m/s

the speed of the sphere's is 0.14 m/s

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