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https: /session mastern gphysics.com/myct/itemvp. Edit View Favorites Tools Help ics 160 E and M for Eng and Sci ter 23 Homework Probiem 2337 Masten gphysics Cour a pearson eTet -alt MasteringPhysics C...X MasteringPhyscs C-xaPhysics ahE Physics 4th oblem 23.37 Part A A 14.7cm -radius thin ring carries a uniformly distributed 16.1 paC charge A small 53g sphere with a charge of 4 4C is placed exactly at the center of the ring and given a very small push so it moves along the ring axis (+x axis). How fast will the sphere be moving when it is 1.3m from the conter of the ring lignore gravitly)? Express your answer using two significant figures m/s Submit My Answers Give Up Incorrect; Try Again; 2 attempts remaining; no points deducted

Explanation / Answer

apply the formula for electric field due to thin ring as

E = KQx/(x^2+ r^2)^3/2

here K = 9e9

Q is 16.1 e-6 C

x = 1.3m

r = 0.147 m

so E = 9e9 * 16.1 e-6 * 1.3/(1.3^2 + 0.147^2)

E = 4.21 * 10^5 N/C

so

now use Work energy theorem

0.5 mv^2   = W = Fx

here F = Eq

so

v^2 = 2Eqx/m

v^2 = 2* 4.21e5 * 4.4 e-6 * 1.3/(5.3 e-3)

v^2 = 908.724

v = speed = 30.14 m/s --------------<<<<<<<<<<<Answer

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