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can float by displacing enough fluid to match their weight. Example Problem Using Archimedes' Principle: A metal object weighing 10 N is placed in water, where it displaces 0.0008 m³ of water. Determine if the object will float or sink, and calculate the buoyant force. 1. Calculate the Buoyant Force: • The density of water, Pwater, is approximately 1000 kg/m³. . Using Archimedes' principle: Fb Pwater Vdisplaced 9 = 1000 0.0008 9.8 = 7.84 N 2. Compare with the Object's Weight: Since F = 7.84 N is less than the object's weight of 10 N, the object will sink. Solve the following: Problem: Finding Mass Density of an Object A block of metal has a volume of 0.5 m³ and weighs 1200 N. Calculate the mass density of the metal. Problem: Hydraulic Lift System A hydraulic lift is used to raise a car weighing 1200 kg. The lift has a small piston with a diameter of 0.1 meters and a large piston with a diameter of 0.5 meters. Calculate the force applied to the small piston that is required to lift the car. Problem 1: Buoyant Force for a Submerged Object Problem: A cube with a side length of 0.2 meters is fully submerged in water. If the density of water is 1000 kg/m³, calculate the buoyant force acting on the cube. Problem: Calculating Specific Gravity A piece of wood has a mass of 300 g and occupies a volume of 500 cm³. Calculate the specific gravity of the wood. Problem 2: Buoyant Force for a Floating Object Problem: A wooden block weighing 15 N floats on the surface of the water. Calculate the buoyant force acting on the wooden block when it is floating. Problem: Calculating Pressure at a Depth in Water A cylindrical tank filled with water is 10 meters deep. Calculate the pressure exerted by the water at the bottom of the tank. Assume the density of water is 1000 kg/m 3

can float by displacing enough fluid to match their weight. Example Problem Using Archimedes' Principle: A metal object weighing 10 N is placed in water, where it displaces 0.0008 m³ of water. Determine if the object will float or sink, and calculate the buoyant force. 1. Calculate the Buoyant Force: • The density of water, Pwater, is approximately 1000 kg/m³. . Using Archimedes' principle: Fb Pwater Vdisplaced 9 = 1000 0.0008 9.8 = 7.84 N 2. Compare with the Object's Weight: Since F = 7.84 N is less than the object's weight of 10 N, the object will sink. Solve the following: Problem: Finding Mass Density of an Object A block of metal has a volume of 0.5 m³ and weighs 1200 N. Calculate the mass density of the metal. Problem: Hydraulic Lift System A hydraulic lift is used to raise a car weighing 1200 kg. The lift has a small piston with a diameter of 0.1 meters and a large piston with a diameter of 0.5 meters. Calculate the force applied to the small piston that is required to lift the car. Problem 1: Buoyant Force for a Submerged Object Problem: A cube with a side length of 0.2 meters is fully submerged in water. If the density of water is 1000 kg/m³, calculate the buoyant force acting on the cube. Problem: Calculating Specific Gravity A piece of wood has a mass of 300 g and occupies a volume of 500 cm³. Calculate the specific gravity of the wood. Problem 2: Buoyant Force for a Floating Object Problem: A wooden block weighing 15 N floats on the surface of the water. Calculate the buoyant force acting on the wooden block when it is floating. Problem: Calculating Pressure at a Depth in Water A cylindrical tank filled with water is 10 meters deep. Calculate the pressure exerted by the water at the bottom of the tank. Assume the density of water is 1000 kg/m 3

College Physics
College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter11: Fluid Statics
Section: Chapter Questions
Problem 52PE: Referring to Figure 11.21, prove that the buoyant force on the cylinder is equal to the weight of...
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can float by displacing enough fluid to match their weight. Example Problem Using Archimedes' Principle: A metal object weighing 10 N is placed in water, where it displaces 0.0008 m³ of water. Determine if the object will float or sink, and calculate the buoyant force. 1. Calculate the Buoyant Force: • The density of water, Pwater, is approximately 1000 kg/m³. . Using Archimedes' principle: Fb Pwater Vdisplaced 9 = 1000 0.0008 9.8 = 7.84 N 2. Compare with the Object's Weight: Since F = 7.84 N is less than the object's weight of 10 N, the object will sink. Solve the following: Problem: Finding Mass Density of an Object A block of metal has a volume of 0.5 m³ and weighs 1200 N. Calculate the mass density of the metal. Problem: Hydraulic Lift System A hydraulic lift is used to raise a car weighing 1200 kg. The lift has a small piston with a diameter of 0.1 meters and a large piston with a diameter of 0.5 meters. Calculate the force applied to the small piston that is required to lift the car. Problem 1: Buoyant Force for a Submerged Object Problem: A cube with a side length of 0.2 meters is fully submerged in water. If the density of water is 1000 kg/m³, calculate the buoyant force acting on the cube. Problem: Calculating Specific Gravity A piece of wood has a mass of 300 g and occupies a volume of 500 cm³. Calculate the specific gravity of the wood. Problem 2: Buoyant Force for a Floating Object Problem: A wooden block weighing 15 N floats on the surface of the water. Calculate the buoyant force acting on the wooden block when it is floating. Problem: Calculating Pressure at a Depth in Water A cylindrical tank filled with water is 10 meters deep. Calculate the pressure exerted by the water at the bottom of the tank. Assume the density of water is 1000 kg/m 3
Transcribed Image Text:can float by displacing enough fluid to match their weight. Example Problem Using Archimedes' Principle: A metal object weighing 10 N is placed in water, where it displaces 0.0008 m³ of water. Determine if the object will float or sink, and calculate the buoyant force. 1. Calculate the Buoyant Force: • The density of water, Pwater, is approximately 1000 kg/m³. . Using Archimedes' principle: Fb Pwater Vdisplaced 9 = 1000 0.0008 9.8 = 7.84 N 2. Compare with the Object's Weight: Since F = 7.84 N is less than the object's weight of 10 N, the object will sink. Solve the following: Problem: Finding Mass Density of an Object A block of metal has a volume of 0.5 m³ and weighs 1200 N. Calculate the mass density of the metal. Problem: Hydraulic Lift System A hydraulic lift is used to raise a car weighing 1200 kg. The lift has a small piston with a diameter of 0.1 meters and a large piston with a diameter of 0.5 meters. Calculate the force applied to the small piston that is required to lift the car. Problem 1: Buoyant Force for a Submerged Object Problem: A cube with a side length of 0.2 meters is fully submerged in water. If the density of water is 1000 kg/m³, calculate the buoyant force acting on the cube. Problem: Calculating Specific Gravity A piece of wood has a mass of 300 g and occupies a volume of 500 cm³. Calculate the specific gravity of the wood. Problem 2: Buoyant Force for a Floating Object Problem: A wooden block weighing 15 N floats on the surface of the water. Calculate the buoyant force acting on the wooden block when it is floating. Problem: Calculating Pressure at a Depth in Water A cylindrical tank filled with water is 10 meters deep. Calculate the pressure exerted by the water at the bottom of the tank. Assume the density of water is 1000 kg/m 3
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