M 2/10 Charges c Dezto.mheducation.com/hm.tpx?0.4120622681853545-1455056099521 C

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M 2/10 Charges c Dezto.mheducation.com/hm.tpx?0.4120622681853545-1455056099521 Chegg Study I Guided Sol × How to Take a Screens WX value 5.00 points 2 5 attempts left Check my work A tiny sphere with a charge of 7.7 C is attached to a spring. Two other tiny charged spheres, each with a charge of -2.8 uC, are placed in the positions shown in the figure and the spring stretches 5.3 cm from its previous equilibrium position toward the two spheres. Report problem Hint Solution Guided Solution 5.3 cm 3.9 cmI 2.0 cm2.0 cm Calculate the spring constant N/m Up 5:24 PM 2/9/2016

Explanation / Answer

Given that

A tiny sphere with a charge of is attached to a spring (Q)= 7.7 C =7.7*10-6C

Two other tiny charged spheres, each with a charge of(q) = 2.8 C=2.8*10-6C

The spring stretches from its previous equilibrium position toward the two spheres (x) = 5.3 cm=0.053m

Now the distance between the sphere and the springed sphere is (r) =Sqrt(3.92+22) =4.382cm

The net force acting on the sphere attached to the spring is

F =2*k*2.8*10-6*7.7*10-6/(0.04382)2 *cos(arctan(2/3.9)

   =2*9*109*2.8*10-6*7.7*10-6/(0.04382)2 * [cos(arctan(2/3.9)]=179.832N

Now we know that F=kx

k =F/x =179.832/0.053 =3393.056N/m

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