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A person travels down a waterslide on an air-filled float. The layer of water between the float and the slide is 4 cm thick.The slide is angled downwards from horizontal by 40°. Everything is open to atmospheric pressure. The person's mass is 43 kg. The density of air is 1.05 kg/m³ and the density of water is 996 kg/m³. While sliding, we may assume the flow is at steady state. The drag coefficient of a person on a float is 0.6, and the drag area is 0.31 m². The slide ends in a static pool of water. ●Develop a force balance for the person on the float. A diagram will be helpful. ●If drag is neglected, what velocity will the person reach? • After coming to a stop in the pool at the end of the slide, what volume of the float will be submerged? • For a point of extra credit, what velocity will the person reach if drag is not neglected?

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