Answer:
T = 243.80 N
Explanation:
In order to calculate the tension T in each of the cables, you take into account the Newton second law for the vertical component of the forces involved.
(1)
where you have used the fact that both cables have the same tension T, and they make the same angle with the horizontal.
W is the weigh of the loudspeaker and has the folowing values:
Next, you can calculate the angle θ by using the information about the length of the cables and the distance from the ceiling to the loudspeaker:
Finally, you solve the equation (1) for T, and then you replace the values of the other parameters:
The tension in each cable is 243.80N
Coulomb's Law
Given:
F = 3.0 x 10^-3 Newton
d = 6.0 x 10^2 meters
Q1 = 3.3x 10^-8 Coulombs
k = 9.0 x 10^9 Newton*m^2/Coulombs^2
Required:
Q2 =?
Formula:
F = k • Q1 • Q2 / d²
Solution:
So, to solve for Q2
Q2 = F • d²/ k • Q1
Q2 = (3.0 x 10^-3 Newton) • (6.0 x 10^2 m)² / (9.0 x 10^9
Newton*m²/Coulombs²) • (3.3x 10^-8 Coulombs)
Q2 = (3.0 x 10^-3 Newton) • (360 000 m²) / (297 Newton*m²/Coulombs)
Q2 = 1080 Newton*m²/ (297 Newton*m²/Coulombs)
Then, take the reciprocal of the denominator and start
multiplying
Q2 = 1080 • 1 Coulombs/297
Q2 = 1080 Coulombs / 297
Q2 = 3.63636363636 Coulombs
Q2 = 3.64 Coulumbs
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