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5) A vertical cylindrical buoy (radius 30.0 cm) floats on water with the circular side facing UP. The force required to push the buoy deeper into the water depends on the depth "x" as follows: With the given constants: F = pgAx water density, p = 1000 kg/m³ gravitational constant, g = 9.81 m/s² Cross-sectional top Area, A = πr² = π(0.300)² = 0.28274 m² How much work (in Joules, J) is required to push the buoy deeper into the water by 10.0 cm? 6) A swimming pool is 6.00 m wide and 15.0 m long. The shallow end is 1.00 m deep, while the deep end is 2.00 m deep. What is the force of the water on one of the trapezoidal sides of the pool? 7) A horizontal cylindrical tank with circular ends of radius 2.00 m is half filled with oil of weight density y = 9400 N/m³. What is the force of the oil on one end of the tank? 3

5) A vertical cylindrical buoy (radius 30.0 cm) floats on water with the circular side facing UP. The force required to push the buoy deeper into the water depends on the depth "x" as follows: With the given constants: F = pgAx water density, p = 1000 kg/m³ gravitational constant, g = 9.81 m/s² Cross-sectional top Area, A = πr² = π(0.300)² = 0.28274 m² How much work (in Joules, J) is required to push the buoy deeper into the water by 10.0 cm? 6) A swimming pool is 6.00 m wide and 15.0 m long. The shallow end is 1.00 m deep, while the deep end is 2.00 m deep. What is the force of the water on one of the trapezoidal sides of the pool? 7) A horizontal cylindrical tank with circular ends of radius 2.00 m is half filled with oil of weight density y = 9400 N/m³. What is the force of the oil on one end of the tank? 3

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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5) A vertical cylindrical buoy (radius 30.0 cm) floats on water with the circular side facing UP. The force required to push the buoy deeper into the water depends on the depth "x" as follows: With the given constants: F = pgAx water density, p = 1000 kg/m³ gravitational constant, g = 9.81 m/s² Cross-sectional top Area, A = πr² = π(0.300)² = 0.28274 m² How much work (in Joules, J) is required to push the buoy deeper into the water by 10.0 cm? 6) A swimming pool is 6.00 m wide and 15.0 m long. The shallow end is 1.00 m deep, while the deep end is 2.00 m deep. What is the force of the water on one of the trapezoidal sides of the pool? 7) A horizontal cylindrical tank with circular ends of radius 2.00 m is half filled with oil of weight density y = 9400 N/m³. What is the force of the oil on one end of the tank? 3
Transcribed Image Text:5) A vertical cylindrical buoy (radius 30.0 cm) floats on water with the circular side facing UP. The force required to push the buoy deeper into the water depends on the depth "x" as follows: With the given constants: F = pgAx water density, p = 1000 kg/m³ gravitational constant, g = 9.81 m/s² Cross-sectional top Area, A = πr² = π(0.300)² = 0.28274 m² How much work (in Joules, J) is required to push the buoy deeper into the water by 10.0 cm? 6) A swimming pool is 6.00 m wide and 15.0 m long. The shallow end is 1.00 m deep, while the deep end is 2.00 m deep. What is the force of the water on one of the trapezoidal sides of the pool? 7) A horizontal cylindrical tank with circular ends of radius 2.00 m is half filled with oil of weight density y = 9400 N/m³. What is the force of the oil on one end of the tank? 3
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