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Activity 2 You have made some conclusions about the water pressure at various points int water. Do the following to test these conclusions: he beaker of a. Consider a container of water at rest. b. Imagine a cylindrical column of the water from the top of the water to a depth h below the top of the water; assume that the cross-sectional area is A. Draw all forces acting c the column of water. You may assume that the forces on the sides on the column cancel, and thus, you can ignore them. Also, identify the source of these forces. c. Use Newtons 2nd law and write an equation for the vertical direction. d. Use the equation and derive an expression for the water pressure at the depth h. e. Explain how this expression agrees with Pascals principle. f. Use this expression to qualitatively explain why the pressure depends on depth. o What does this imply for the air?
The purpose is to refresh your memory on force diagrams and Newtons laws and to generate ideas about fluids. Activity 1 Suppose that you carefully inject some oil into the middle of a beaker of water that is at rest on a table. As you may know from experience, the oil subsequently rises to the top of the water. Individually or with a partner, as directed by your instructor, do the following, in order to explain why the oil rises: Consider the oil as the system and draw all external forces acting on the system; include forces from the water on all sides of the oil. Draw the force arrows to exhibit the relative magnitude of these forces; i.e., draw the force with the greater magnitude longer. a. b. Apply Newtons 2nd law to the system and determine if the forces that you have drawn c. Examine your drawn forces again. What can you conclude about the total force exerted d. Look up the name of this one force from the water. Based on all the forces that you have e. Based on this analysis, what can you conclude about the water pressure at various points f. What does this imply for a person under water at various depths? explain the motion of the oil. If not, discuss whether one or more of the forces are incorrect by the water on the oil? Draw one force arrow to represent this force. drawn, explain the direction of this force. in the water?
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