A force of 45 pounds is exerted along a rope attached to a crate at an angle of $30 ^ { \circ }$ above the horizontal. The crate is moved 50 feet. How much work has been accomplished? Round answer to one decimal place.
A) $2,250.0$ foot-pounds
B) $2,598.1$ foot-pounds
C) $2,099.3$ foot-pounds
D) $2,348.7$ foot-pounds
E) $1,948.6$ foot-pounds

Question

Quizplus · Accepted Answer

The work done is calculated using the formula $W = Fd\cos(\theta)$, where $W$ is work, $F$ is the force applied, $d$ is the distance moved, and $\theta$ is the angle of the force with the horizontal. Here, $F = 45$ pounds, $d = 50$ feet, and $\theta = 30^\circ$. Thus, $W = 45 \times 50 \times \cos(30^\circ) \approx 1948.6$ foot-pounds.

A Force of 45 Pounds Is Exerted Along a Rope 30∘30 ^ { \circ }30∘

A Force of 45 Pounds Is Exerted Along a Rope $30 ^ { \circ }$