To calculate the magnitude and direction of the resultant force, we first need to express each force in its component form (F = Fxi + Fyj). A force vector is given by its magnitu

May 21, 2026Physics

ScanSolve AI Answer

May 21, 2026

Answer

$9\sqrt$

Alright agyenim — let's do this.

To calculate the magnitude and direction of the resultant force, we first need to express each force in its component form ( $\vec{F} = F_x\vec{i} + F_y\vec{j}$ ). A force vector is given by its magnitude multiplied by its unit direction vector.

The unit vector $\hat{u}$ for a direction vector $\vec{v} = a\vec{i} + b\vec{j}$ is $\hat{u} = \frac{a\vec{i} + b\vec{j}}{\sqrt{a^2+b^2}}$ .

Force 1 ( $\vec{F_1}$ ): Magnitude $F_1 = 9\sqrt

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Alright agyenim — let's do this. To calculate the magnitude and direction of the resultant force, we first need to express each force in its component form (F = F_xi + F_yj).

Asked on May 21, 2026Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI AnswerAnswered on May 21, 2026

Alright agyenim — let's do this. To calculate the magnitude and direction of the resultant force, we first need to express each force in its component form (F = F_xi + F_yj). A force vector is given by its magnitude multiplied by its unit direction vector. The unit vector u for a direction vector v = ai + bj is u = ai + bjsqrt(a^2+b^2). Force 1 (F_1): Magnitude $F_1 = 9