Two charged objects of the same mass (m = 1E[-3]kg) hang from a ceiling. The charge on each object is %3D positive. Each object has the same amount of charge (q1 = q2 = +q). Each object is attached to a massless string of length L = 0.25m. The tops of each string are all attached at the same point on the ceiling. The position of each object is given in the table below. All objects are at rest. We have set the origin to be the position of object 1.

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Chapter1: Units, Trigonometry. And Vectors
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Can you please help me with finding the q without using sine, cosine, or tangent? Thank you!

Electric Force HW:
Follow the Solutions Example and FAQ. Don't use angles.
Two charged objects of the same mass (m = 1E[-3]kg) hang from a ceiling. The charge on each object is
positive. Each object has the same amount of charge (q1 = q2 = +q). Each object is attached to a
massless string of length L = 0.25m. The tops of each string are all attached at the same point on the
ceiling. The position of each object is given in the table below. All objects are at rest. We have
set the origin to be the position of object 1.
The direction of each force can be found using the positions for the objects. For instance, the
electric force on object 1 due to object 2 points in the same
direction as a distance vector which points from the position of
object 2 to object 1. You can find this distance vector by finding
the difference between the position of object 1 (the final) and the
position of object 2 (the initial). This distance vector is composed
of a magnitude (distance) and a direction (unit vector). We only want
the direction so that we can apply it to the force. We can find the
1
2
unit vector by dividing the distance vector by its magnitude
(Pythagorean).
a) Draw FBDS for each object
b) Find all of the force directions (unit vectors). There are 3 for each object.
c) Find the charge q and the magnitude of the tension in each string (T, and T2 )
Object
х (m)
у (m)
1
0.250
String Attach
0.125
0.217
Transcribed Image Text:Electric Force HW: Follow the Solutions Example and FAQ. Don't use angles. Two charged objects of the same mass (m = 1E[-3]kg) hang from a ceiling. The charge on each object is positive. Each object has the same amount of charge (q1 = q2 = +q). Each object is attached to a massless string of length L = 0.25m. The tops of each string are all attached at the same point on the ceiling. The position of each object is given in the table below. All objects are at rest. We have set the origin to be the position of object 1. The direction of each force can be found using the positions for the objects. For instance, the electric force on object 1 due to object 2 points in the same direction as a distance vector which points from the position of object 2 to object 1. You can find this distance vector by finding the difference between the position of object 1 (the final) and the position of object 2 (the initial). This distance vector is composed of a magnitude (distance) and a direction (unit vector). We only want the direction so that we can apply it to the force. We can find the 1 2 unit vector by dividing the distance vector by its magnitude (Pythagorean). a) Draw FBDS for each object b) Find all of the force directions (unit vectors). There are 3 for each object. c) Find the charge q and the magnitude of the tension in each string (T, and T2 ) Object х (m) у (m) 1 0.250 String Attach 0.125 0.217
e = 1.6E[-19] C
Nm?
k = 9E[9]
C2
kąsqo
-†so
.2
Fet = F, + F2 + …*
..
FE = q,E
kąs
Esp
%|
.2
ds
Transcribed Image Text:e = 1.6E[-19] C Nm? k = 9E[9] C2 kąsqo -†so .2 Fet = F, + F2 + …* .. FE = q,E kąs Esp %| .2 ds
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