Problem 54
Question
Find the work done when a crane lifts a 6000 -pound boulder through a vertical distance of 12 feet. Round to the nearest foot-pound.
Step-by-Step Solution
Verified Answer
The work done is 72000 foot-pounds.
1Step 1: Identify the force and distance
The force is equivalent to the weight of the boulder, which is given as 6000 pounds. The distance is given as 12 feet.
2Step 2: Apply the work formula
The work done can be found by multiplying the force (weight of the boulder) by the distance. Therefore, work = force x distance.
3Step 3: Calculate the work
Substituting the values into the formula, we have work = 6000 pounds x 12 feet = 72000 foot-pounds.
4Step 4: Round to the nearest foot-pound
The result is already in whole foot-pounds, so no round off is needed.
Other exercises in this chapter
Problem 53
Convert each rectangular equation to a polar equation that expresses r in terms of \(\theta\). $$ x^{2}+y^{2}=9 $$
View solution Problem 54
Explaining the Concepts Describe the test for symmetry with respect to the line \(\theta=\frac{\pi}{2}\)
View solution Problem 54
Why can't the Law of Sines be used in the first step to solve an SAS triangle?
View solution Problem 54
In Exercises 53–56, let. $$\mathbf{u}=-2 \mathbf{i}+3 \mathbf{j}, \mathbf{v}=6 \mathbf{i}-\mathbf{j}, \mathbf{w}=-3 \mathbf{i}$$ Find each specified vector or s
View solution