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1. The inclined plane depicted in Fig. 7-4 is 15 m long and rises 3.0 m. (a) What minimum force F parallel to the plane is required to slide a 20-kg box up the plane if friction is neglected? (b) What is the IMA of the plane? (c) Find the AMA and efficiency if a 64-N force is actually required. 15 m 3.0 m FW =(20)(9.81) N Fig. 7-4 2. A motor furnishes 120 hp to a device that lifts a 5000-kg load to a height of 13.0 m in a time of 20 s. Find the efficiency of the machine. 3. Consider a machine for which an applied force moves 3.3 m to raise a load 8.0 cm. Find the (a) IMA and (b) AMA if the efficiency is 60 percent. What load can be lifted by an applied force of 50 N if the efficiency is (c) 100 percent and (d) 60 percent? 4. A block of initial speed vo slides across a floor, see Fig. 6.15. A kinetic frictional force of magnitude f* = SUN does work on the block, stopping it over a displacement of magnitude d = 2m. Find the dissipated mechanical energy. Motion Initial 5. A boy of mass m=30 kg slides down a curved track of height h=3m, see Fig. 6.16. The boy starts at point i with a speed v; = 0 and reaches the bottom of the track at point f with a speed v . (a) If the track is frictionless, i.e. fk = 0, then find the speed vf . 6. A block of mass m=2 kg is placed on a rough horizontal surface against a compressed spring with a spring constant of KH =2,000 N/m. The spring is compressed a distance of x =20 cm, see Fig. 6.17. The block is released, and then it moves to the right until it stops completely after rising onto a rough track of height h=0.5m. Find the work done by friction. Et Equilibrium 01=0 position X=0 Fig.6.17