Find the work W done if a constant force of 95 lb is used to pull a cart a distance of 180 ft.W =

1. Break Down the Problem

We need to find the work $W$ done by a constant force when moving an object a certain distance. The formula to calculate work is: $W = F \times d$ where:

• $W$ is the work done (in foot-pounds),
• $F$ is the force applied (in pounds),
• $d$ is the distance moved (in feet).

2. Relevant Concepts

• Force $F = 95 \, \text{lb}$
• Distance $d = 180 \, \text{ft}$

3. Analysis and Detail

Substituting the values into the work formula: $W = 95 \, \text{lb} \times 180 \, \text{ft}$ Now, we perform the multiplication: $W = 17100 \, \text{foot-pounds}$

4. Verify and Summarize

The calculation has been verified by directly applying the formula for work. The constant force and the distance have been multiplied correctly.

Final Answer

The work $W$ done is $17100 \, \text{ft-lb}$.