Question

You push a heavy crate out of a carpeted room and down a hallway with a waxed linoleum floor. While pushing the crate 2.5 m out of the room you exert a force of 385 N; while pushing it 10 m down the hallway you exert a force of 130 N. To slow it down you exert a force of 350 N through a distance of 2.0 m, opposite to the motion. How much work do you do in all?

Answer 1

W = 1562.5 J

Step-by-step explanation:

Path 1:

W₁ = F₁*d₁ = 385 N * 2.5 m = 962.5 J

Path 2:

W₂ = F₂*d₂ = 130 N * 10 m = 1300 J

Path 3:

W₃ = F₃*d₃ = (-350 N) * 2 m = - 700 J (opposite to the motion)

We get

W = W₁ + W₂ + W₃ = 962.5 J + 1300 J + (- 700 J) = 1562.5 J