Answer:
he same direction the magnitude of the resultant is equal to the scalar sum of the magnitude of the forces, but if they are applied in different directions the magnitude must be found using the Pythagorean theorem
Explanation:
When there are several applied forces, if they are all in the same direction the magnitude of the resultant is equal to the scalar sum of the magnitude of the forces, but if they are applied in different directions the magnitude must be found using the Pythagorean theorem, so which the resulting dowry is less than the sum of the magnitudes.
Let's carry out an example with two forces, F1 and F2 of equal magnitudes
if they are in the same direction
F_total = F₁ + F₂ = 2 F
if they are at 90º
F_total = [tex]\sqrt{F_1^2 + F_2^2}= \sqrt{2} \ F[/tex]
if they are at 180º
F_total = F₁ -F₂ = 0