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Unformatted text preview: MA 241, Spring 2008 Test # 2 Directions: Show all work, NO CREDIT will be given for no work! Answer the following using tools we have developed in this class. You only need to simplify when stated. Write legibly and clearly mark your answers. Points may be taken off if you work is illegible. 1. A circular swimming pool has a diameter of 18 ft, the sides are 7 ft high, and the depth of the water is 6 ft. We are interested in the work required to pump all the water out over the sides. (Use the fact that water weighs 62.5 lb/ft 3 .) (a) Draw a picture representing the situation and include a representative piece or layer. (b) Write an equation that expresses the work done to raise this layer to the top. (c) What integral expresses the total work to pump all of the water out over the sides. DO NOT EVALUATE this integral. 2. A spring has a natural length of 20m. If a 500N force is required to keep it stretched to a length of 30m, how much work is required to stretch it from 22m to 28m? 3. A vertical plate is submerged in water and has the shape indicated in the figure below. Draw a repre3....
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 Spring '08
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 representative, dx dy

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