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

Question

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Solution

1. Break Down the Problem

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

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

2. Relevant Concepts

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

3. Analysis and Detail

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

This problem has been solved

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