A solid gold object has a volume of 3 cubic centimeters. What is the volume of liquid mercury that would have to be displaced for this object to float? The density of gold is 19300 kg/m³ and the denisty of mercury is 13534 kg/m³. Think & Prepare 1. What are the forces acting on the object? Draw a free body diagram showing the forces. 2. What is the relationship between the forces if the object is to float? Volume of liquid mercury displaced for object to float= cm³ Reflect: Can the solid piece of gold in the problem above displace the volume of mercury to float? Can you change the sape of the piece of gold to achieve the necessary buoyant force for gold to float on mercury?

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter15: Fluids
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A solid gold object has a volume of 3 cubic centimeters. What is the volume of liquid mercury that
would have to be displaced for this object to float?
The density of gold is 19300 kg/m³ and the denisty of mercury is 13534 kg/m³.
Think & Prepare
1. What are the forces acting on the object? Draw a free body diagram showing the forces.
2. What is the relationship between the forces if the object is to float?
Volume of liquid mercury displaced for object to float=
cm³
Reflect: Can the solid piece of gold in the problem above displace the volume of mercury to float?
Can you change the sape of the piece of gold to achieve the necessary buoyant force for gold to float
on mercury?
Transcribed Image Text:A solid gold object has a volume of 3 cubic centimeters. What is the volume of liquid mercury that would have to be displaced for this object to float? The density of gold is 19300 kg/m³ and the denisty of mercury is 13534 kg/m³. Think & Prepare 1. What are the forces acting on the object? Draw a free body diagram showing the forces. 2. What is the relationship between the forces if the object is to float? Volume of liquid mercury displaced for object to float= cm³ Reflect: Can the solid piece of gold in the problem above displace the volume of mercury to float? Can you change the sape of the piece of gold to achieve the necessary buoyant force for gold to float on mercury?
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