Solve the problem. Round your answer to the nearest tenth.
-Find the work done by a force of 6 pounds acting in the direction of 43° to the horizontal in moving an object 6 feet from (0, 0) to (6, 0).
A) 26.3 ft-lb
B) 28.4 ft-lb
C) 24.6 ft-lb
D) 52.7 ft-lb

Question

Quizplus · Accepted Answer

The work done is calculated using the formula $W = Fd\cos(\theta)$, where $W$ is work, $F$ is the force, $d$ is the distance, and $\theta$ is the angle of the force with the direction of motion. Here, $F = 6$ pounds, $d = 6$ feet, and $\theta = 43^\circ$. Thus, $W = 6 \times 6 \times \cos(43^\circ) \approx 26.3$ ft-lb.

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