To slide a crate across the floor, a force of 241 pounds at a 40° is needed. How much work is done if the crate is dragged 31 feet. Round to the nearest integer.
A) 5,723 ft lbs.
B) 4,802 ft lbs.
C) 6,269 ft lbs.
D) 10 ft lbs.

Question

Quizplus · Accepted Answer

The work done is calculated using the formula $W = Fd\cos(\theta)$, where $W$ is the work done, $F$ is the force applied, $d$ is the distance moved, and $\theta$ is the angle of the force with respect to the direction of motion. Here, $F = 241$ pounds, $d = 31$ feet, and $\theta = 40^\circ$. Thus, $W = 241 \times 31 \times \cos(40^\circ)$. Calculating this gives a value close to 5,723 ft lbs, rounding to the nearest integer.

To Slide a Crate Across the Floor, a Force of 241