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A positive charge $q_{1}=$ 2.70$\mu \mathrm{C}$ on a friction. less horizontal surface is attached to a spring of force contant $k$ as in Figure $\mathrm{P} 15.12$ . When a charge of $q_{2}=-8.60 \mu \mathrm{C}$ is placed 9.50 $\mathrm{cm}$ away from the positive charge, the spring stretches by $5.00 \mathrm{mm},$ reducing the distance between charges to $d=9.00 \mathrm{cm} .$ Find the value of $k$

5150 $\mathrm{X} / \mathrm{m}$

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Rutgers, The State University of New Jersey

Numerade Educator

University of Washington

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head of strings. Let's track or discussion Electrostatic force. Okay, Uh, now suppose you have a ball. Ah, you have a system. Offspring on the ball is attached. So this spring and a charge on this bold one is who won? That is 2.7 micro quota, okay. And an another ball off. Negative. Charge off. Judge Q two 8.6. Micro problem is placed. No, you have to find out the value off this spring question. Actually, this is a friction less based. Okay, you have to find out the value of this spring. Caution. How? Said, this is the plus charge and this is the negative charge. So this negative charge will exert a force on this place chart towards itself. That is an electrostatic force that is force on one do toe to will generate on this site. So if we stretch this one ball, then it will create a force on this spring, then by the former offspring Constant. That is gay acts. It will be close to the electrostatic force exerted by a judge to 11 That is after 12 So it will comes Toby effects. Okay. If you want you to buy X squared next. Them the square? No, the supposed that displacement darker in spring airs. Five. Mm. That is a joke. Went Jiro Jiro, five meter. Okay. Ah. So charge on Coolum will be 2.7 into 10. This part minus six. School. Uh, this will be a 16 into 10 days by minus six. School. Okay. No, we have to find out the value off this. Bring question. Que will be okay. You want you to buy this square into one by ex? Basically, the separation between them be, that is D is on the value of the is 0.9 meter. That is nine centimeters where we can work that into me. So if we put the older values 19 pretenders by nine this is the value, of course. In case into 2.7 into 10. Dress part minus X pinto. 8.6 into 10. Respond minus six. A born job when Juno nine square into Joe Paunchy. It'll chill five. Very well. Get the value approximately equal to y 15 Jiro Newton. Well, Major, this is the value of spring constant K off this particular spring that we have to find out. Well, this is all for me for this video. I hope you will like the video. Thank you.