1. A small rectangular tank 5.00 in. by 9.00 in. is filled with mercury. (a) If the total force on the bottom of the tank is 165 lb, how deep is the mercury? (Weight density of mercury = 0.490 lb/in3.) (b) Find the total force on the larger side of the tank. 2. The small piston of a hydraulic press has an area of 8.00 cm2. If the applied force is 25.0 N, find the area of the large piston to exert a pressing force of 3600 N. 3. The large piston on a hydraulic lift has radius 40.0 cm. The small piston has radius 5.00 cm to which a force of 75.0 N is applied. (a) Find the force exerted by the large piston. (b) Find the pressure on the large piston. (c) Find the pressure on the small piston. (d) Find the mechanical advantage of the lift. (e) What happens when the area of the small piston is half as large? (f) What happens when the radius of the small piston is half as large? 4. A flat-bottom river barge is 12.0 m wide, 30.0 m long, and 6.00 m deep. (a) How many m3 of water will it displace while the top stays 1.00 m above the water? (b) What load (in newtons) will the barge contain under these conditions if the empty barge weighs 3.55 * 106 N in dry dock