review the diagram. a wagon is being pulled by a force of 15 pounds. how much work is done in moving the…
review the diagram. a wagon is being pulled by a force of 15 pounds. how much work is done in moving the wagon 50 feet if the handle makes an angle of 40° with the ground? 11.49 foot - pounds 38.30 foot - pounds 574.53 foot - pounds 750.00 foot - pounds
Answer
Explanation:
Step1: Recall work - formula
The formula for work $W = F\cdot d\cdot\cos\theta$, where $F$ is the force, $d$ is the distance, and $\theta$ is the angle between the force and the direction of motion.
Step2: Identify given values
We are given that $F = 15$ pounds, $d=50$ feet, and $\theta = 40^{\circ}$.
Step3: Calculate work
$W=15\times50\times\cos(40^{\circ})$. Since $\cos(40^{\circ})\approx0.766$, then $W = 15\times50\times0.766=15\times38.3 = 574.5$ foot - pounds.
Answer:
574.53 foot - pounds