Solve the problem.
-A constant force $\mathbf { F } = \langle 23,27 \rangle$ moves an object along a vector $\mathbf { D } = \langle 16,8 \rangle$, where units are in pounds and feet. Finv the work done.
A) $634.5$ foot-pounds
B) $- 152$ foot-pounds
C) 584 foot-pounds
D) 152 foot-pounds

Question

Quizplus · Accepted Answer

The work done by a force is given by the dot product of the force vector and the displacement vector. Here, $\mathbf{F} \cdot \mathbf{D} = \langle 23,27 \rangle \cdot \langle 16,8 \rangle = (23 \times 16) + (27 \times 8) = 368 + 216 = 584$ foot-pounds.

Solve the Problem F=⟨23,27⟩\mathbf { F } = \langle 23,27 \rangleF=⟨23,27⟩

Solve the Problem $\mathbf { F } = \langle 23,27 \rangle$