Express each force vector in component form.

May 21, 2026Physics

ScanSolve AI Answer

May 21, 2026

Answer

M \frac{\vec{v}}{|\vec{v}|}$.

Step 1: Express each force vector in component form. A force vector $\vec{F}$ with magnitude $M$ acting along the direction of a vector $\vec{v}$ is given by $\vec{F} = M \frac{\vec{v}}{|\vec{v}|}$ .

For the first force, $\vec{F_1}$ : Magnitude $M_1 = 9\sqrt{3}$ N Direction vector $\vec{v_1} = \vec{i} + 3\vec{j}$ Magnitude of direction vector $|\vec{v_1}| = \sqrt{1^2 + 3^2} = \sqrt{1+9} = \sqrt{10}$

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Express each force vector in component form. A force vector F with magnitude M acting along the direction of a vector v is given by F = M v|v|.

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

Step 1: Express each force vector in component form. A force vector F with magnitude M acting along the direction of a vector v is given by F = M v|v|. For the first force, F_1: Magnitude M_1 = 9sqrt(3) N Direction vector v_1 = i + 3j Magnitude of direction vector |v_1| = sqrt(1^2 + 3^2) = sqrt(1+9) = sqrt(10) F_1