Todd Lawson
03/04/2023 · Elementary School
The force on an object is \( \vec{F}=-22 \vec{j} \). For the vector \( \vec{v}=\vec{i}-2 \vec{j} \), find: (a) The component of \( \vec{F} \) parallel to \( \vec{v} \) : (b) The component of \( \vec{F} \) perpendicular to \( \vec{v} \) : The work, \( W \), done by force \( \vec{F} \) through displacement \( \vec{v} \) : Submit answer
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(a) The component of \( \vec{F} \) parallel to \( \vec{v} \): \( \vec{F}_{\parallel} = \frac{44}{5} \vec{i} - \frac{88}{5} \vec{j} \)
(b) The component of \( \vec{F} \) perpendicular to \( \vec{v} \): \( \vec{F}_{\perp} = -\frac{44}{5} \vec{i} - \frac{22}{5} \vec{j} \)
The work done by force \( \vec{F} \) through displacement \( \vec{v} \): \( W = 44 \)
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