Answer: Net electrostatic force on C is 24.2× Newtons.
Explanation: Coulomb's Law is used to determine <u>Electrostatic</u> <u>Force</u>. Its formula is:
F = k.
where:
k is electrostatic constant (k = 8.987× Nm²/C²);
q is the charge of the object in Coulumb;
r is the distance between charges;
The net force is the sum of all the forces acting on C, so:
<u />
<u>Force B on C:</u>
They are both positive, so there is a relpusive force acting between them on the y-axis.
N
<u>Force D on C</u>:
There is an atractive force between them on the x-axis.
N
<u>Force A on C</u>:
First, find the distance between objects:
The distance is a diagonal line that divides the rectangle into a right triangle. Distance is square of the hypotenuse .
and hypotenuse: r = m
There is an atractive force between charges, but there are components of the force in x- and y-axis. So, because of that, force will be:
.sinα + cosα
The trigonometric relations is taken from the rectangle:
sinα =
cosα =
cosα = = 0.17
sinα = = 0.072
0.17î + 0.072^j
Now, sum up all the terms in its respective axis:
X: 0.1714
Y: = 0.1723
These forms another right triangle, whose hypotenuse is the net electrostatic force:
N
The net electrostatic force acting on C has magnitude N.