PLEASE GIVE EXPLANATIONS FOR HOW THE EQUATION IS DERIVED, NOT JUST THE ANSWERS P

Question

PLEASE GIVE EXPLANATIONS FOR HOW THE EQUATION IS DERIVED, NOT JUST THE ANSWERS

PLEASE SHOW HOW THE EQUATIONS WERE DERIVED ALGEBRAICALLY

Four charges of equal magnitude Q = 35 nC are placed on the corners of a rectangle of sides D1 = 15 cm and D2 = 6 cm. The charges on the left side of the rectangle are positive while the charges on the right side of the rectangle are negative.

b) Write an equation for the net horizontal force acting on the charge located at the lower left corner of the rectangle in terms of the charges and the given distances. This is the answer, but why?? ->

d) Write an equation for the net vertical force acting on the charge located at the lower left corner of the rectangle in terms of the charges and the given distances. Assume up is positive. This is the answer, but why?? -->

g) Calculate the angle in degrees that the net force makes counterclockwise with respect to the positive horizontal direction (which is to the right).

PLEASE GIVE EXPLANATIONS

Explanation / Answer

part a)

horizontal force due to other
+Q charge will be zero because it is verticlaaly aabove of it

forces due to other two -ve charges are attractive

horizontal force due to lower right chareg=total force=F2=kQ2/D12

force due to upper right charge==F3=kQ2/(D12+D22)

horizontal componenet of this force=F3sin45=kQ2/(D12+D22)21/2

total horizontal force=Fx=kQ2/D12+kQ2/(D12+D22)21/2

part b)

similary verticle force Fy=kQ2/D22+kQ2/(D12+D22)21/2

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