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
For this case we have the following equation: w = F • PQ Where, w: work done F: is the force vector PQ: is the vector of the direction of movement. Rewriting the equation we have: w = || F || • || PQ || costheta Substituting values: w = (60) * (100) * (cos (45)) w = (60) * (100) * (root (2) / 2) w = 4242.640687 lb.ft Answer: The work done pushing the lawn mower is: w = 4242.6 lb.ft
