Alawn mower is pushed a distance of 100 ft. along a horizontal path by a constant force of 60 lbs. yhe handle of the lawn mower is held at a downward angle of 45° toward the horizontal. explain what each value in this situation represents in relation to the formula w=f•pq=||f||•||pq||costheta. then find the work done pushing the lawn mower

For this case we have the following equation:
 w = || F || • || PQ || costheta
 Where,
 || F ||: force vector module
 || PQ ||: distance module
 costheta: cosine of the angle between the force vector and the distance vector.
 Substituting values:
 w = (60) * (100) * (cos (45))
 w = 4242.640687 lb.ft
 
 The work done pushing the lawn mower is: 
 w = 4242.640687 lb.ft

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