Two tiny objects with equal charges of 67.0
Force from just below A.
d = 0.290 m
k = 9*10^9
q1 = 0.77 *10^-6 C
E = kq1/d^2
E = 9*10^9*0.77*10^-6/(0.29)^2
E =82400 N/q
Force from charge on the same diagronal as A
d = sqrt(0.29^2 + 0.29^2) A diagronal of a square = sqrt(side^2 +
side^2)
d = 0.410 m
E2 = k*q1/d
E2 = 9*10^9 * 0.77 * 10^-6/(0.410)^2
E2 = 41200 N/q
Summing the Fields.
Vertical
Total Vertical = 82400 + 41200*Sin(45o)
Note the angle a diagonal makes with with vertical is
45o
Total Vertical = 82400 N/q + 29100 N/q
Total Vertical = 111500 N/q
Total Horizontal = 41200 * cos(45o)
Total Horizontal = 29100 N/q
Left Corner A
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E = 29100 N/q
d = ??
k = 9*10^9
q1 = 0.77 *10^-6
d^2 = kq1/E
d^2 = 9*10^9 0.77*10^-6 / 29100
d^2 = 0.2381 m^2
d = sqrt(0.2381)
d = 0.488 m
q1 must be put 0.488 to the left of A.
Vertical
======
Eq = 111500 N/q
k = 9*10^9
q1 = 0.77 * 10^-6
d^2 = k*q1 / Eq
d^2 = 9*10^9 * 0.77*10^-6 / 111500
d^2 = 0.0622 m^2
d^2 = 0.249 m above A
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revious Answers Constants Correct Two tiny spheres of mass 7.80 mg carry charges of equal magnitude, 82.0 nC, but opposite sign. They are tied to the same ceiling hook by light strings of length 0.530 m. When a horizontal uniform electric field E that is directed to the left is turned on, the spheres hang at rest with the angle θ between the strings equal to 58.0 (Figure 1) Part B What is the magnitude E of the field? Express...
Two tiny spheres of mass 5.30 mg carry charges of equal magnitude, 82.0 nC, but opposite sign. They are tied to the same ceiling hook by light strings of length 0.530 m When a horizontal uniform electric field E that is directed to the left is turned on, the spheres hang at rest with the angle 0 between the strings equal to 58.0° (Figure 1) Which ball (the one on the right or the one on the left) has positive...