Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.A lawn mower is pushed a distance of 100 ft. along a horizontal path by a constant force of 60 lbs. Thehandle of the lawn mower is held at a downward angle of 45° toward the horizontal. Explain what eachvalue listed in this situation represents in relation to the formula W = F x PQ = ||F||||PQ|| cosThen find the work done pushing the lawn mower.

Answer 1

ANSWER:

4242.64 lbs*ft

STEP-BY-STEP EXPLANATION:

To better understand we make a sketch of the situation:

Where,

Distance ||PQ|| = 100 ft

Force (F) = 60 lbs

The angle between force and displacement is 45°

Component of force along displacement is F * Cos 45°

The total work is calculated by means of the formula shown in the statement:

$\begin{gathered} W=F\times||PQ||\times\cos45\degree \\ \\ W=60\times100\times\cos45\degree \\ \\ W=4242.64\text{ lbs*ft} \end{gathered}$

The total work is equal to 4242.64 lbs*ft