Activity 3: Take a depth breath! Directions: Answer the following word problems by applying what you have learned in the lesson. Show your complete solution by following the G-R-E-S-A format. Problem 2. Fluids at Rest What Force Must a Dam Withstand? Consider the pressure and force acting on the dam retaining a reservoir of water. Suppose the dam is 800 m wide and the water is 120.0 m deep at the dam. (a) What is the average pressure on the dam due to the water? (b) Calculate the force exerted against the dam? Figure 19. Pressure at a Faucet Photo Credit: Giancoli Physics 6th F = PA p = hpg F The average pressure / due to the weight of the water is the pressure at the average depth h of 60.0 m, since pressure increases linearly with depth. The force exerted on the dam by the water is the average pressure times the area of contact, F = PA. Problem 3. Pascal's Principle A hydraulic press has pistons of area 0.006 m' and 0.35 ma, respectively. A force of 25 N is applied to the smaller one. Find the (a) pressure exerted on the smaller piston and on (b) the big piston. (c) What is the lifting force on the bigger piston? Note that the input and output pressure is undiminished throughout the system