Question

true or false: when you combine two forces, the magnitude of the resulting force is sometimes, but not always, the sum of the magnitudes of the original two forces.
true
false
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Explanation:

Step1: Analyze force combination

Forces are vectors. When two forces act in the same direction, the magnitude of the resultant force is the sum of the magnitudes of the two forces ($F_{result}=F_1 + F_2$).

Step2: Consider other force directions

When two forces act in different directions (not in the same straight - line or opposite directions), we use the parallelogram law of vector addition. For example, if two forces $\vec{F}_1$ and $\vec{F}_2$ with magnitudes $F_1$ and $F_2$ and the angle $\theta$ between them ($\theta
eq0^{\circ}$), the magnitude of the resultant force is given by $F_{result}=\sqrt{F_1^{2}+F_2^{2}+2F_1F_2\cos\theta}$. When $\theta = 180^{\circ}$ (opposite directions), $F_{result}=\vert F_1 - F_2\vert$.

Answer:

True