Question

A lawn 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

Answer 1

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
 Answer:
 The work done pushing the lawn mower is: 
 w = 4242.640687 lb.ft