A 2 kg sleeve moves from the origin along the parabolic wire x²=4y. Two constant forces F₁=6 N and F₂=8 N act as shown. When the sleeve reaches x=4 m, find the net work done by F₁ and F₂.

Question

G1 Physics · Accepted Answer

At x=4, the constraint x²=4y gives y=4, so displacement is (4,4) m. Work by F₁ is 6×4=24 J. Resolving the 8 N force F₂ along the shown direction and dotting with the displacement gives about 43.7 J. Total work≈67.7 J.