Halliday, Resnick & Walker — Kinetic Energy and Work: Problem 53

Figure 7.27 shows a cold package of hot dogs sliding rightward across a frictionless floor through a distance \( d = 20.0 \text{ cm} \) while three forces act on the package. Two of them are horizontal and have the magnitudes \( F_1 = 5.00 \text{ N} \) and \( F_2 = 1.00 \text{ N} \); the third is angled down by \( \theta = 60.0^\circ \) and has the magnitude \( F_3 = 4.00 \text{ N} \). (a) For the 20.0 cm displacement, what is the net work done on the package by the three applied forces, the gravitational force on the package, and the normal force on the package? (b) If the package has a mass of 2.0 kg and an initial kinetic energy of 0, what is its speed at the end of the displacement?