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wr1015
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A charge of 3.19 µC is held fixed at the origin. A second charge of 3.19 µC is released from rest at the position (1.15 m, 0.530 m) .
(a) If the mass of the second charge is 3.10 g, what is its speed when it moves infinitely far from the origin?
ok so I've broken it up into x and y components and used pythagorean theorem to find the line that represents the force that the second charge exerts on the fixed charged [tex]\sqrt{1.15^2 + .530^2}[/tex] and my answer was 1.266 m. Then i used tan[tex]^-1[/tex] (.530/1.15) to find theta which came out to be 11.98[tex]^0[/tex]. Then i calculated 1.266 (cos 11.98) for the positive x-direction and 1.266(sin 11.98) for the positive y-direction and i got 1.2384 m for the x and .26278 m for the y. Then i plugged those values back into pythagorean theorem again to find the net force [tex]\sqrt{.26278^2 + 1.2384^2}[/tex] and got 1.2666N. Then i used the Force per unit charge to find the net electric field and got (1.2666/3.19E-6) = 3.97E5 and multiplied by 2 since there are 2 charges and got 7.94E5 as my net electric field. And then i plugged that value into [tex]\sqrt{2q\Delta V/m}[/tex] to find velocity. Obviously I'm doing something wrong somewhere because I'm not getting the right answer... any help would be greatly appreciated.
(a) If the mass of the second charge is 3.10 g, what is its speed when it moves infinitely far from the origin?
ok so I've broken it up into x and y components and used pythagorean theorem to find the line that represents the force that the second charge exerts on the fixed charged [tex]\sqrt{1.15^2 + .530^2}[/tex] and my answer was 1.266 m. Then i used tan[tex]^-1[/tex] (.530/1.15) to find theta which came out to be 11.98[tex]^0[/tex]. Then i calculated 1.266 (cos 11.98) for the positive x-direction and 1.266(sin 11.98) for the positive y-direction and i got 1.2384 m for the x and .26278 m for the y. Then i plugged those values back into pythagorean theorem again to find the net force [tex]\sqrt{.26278^2 + 1.2384^2}[/tex] and got 1.2666N. Then i used the Force per unit charge to find the net electric field and got (1.2666/3.19E-6) = 3.97E5 and multiplied by 2 since there are 2 charges and got 7.94E5 as my net electric field. And then i plugged that value into [tex]\sqrt{2q\Delta V/m}[/tex] to find velocity. Obviously I'm doing something wrong somewhere because I'm not getting the right answer... any help would be greatly appreciated.
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