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.

Note Enter your answer and show all the steps that you use to solve this problem in the space providedA lawn mower is pushed a distance of 100 ft along a horizo class=

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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:

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

The total work is equal to 4242.64 lbs*ft

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