Chapter 11. Buoyant force (11-13)

Question

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{"title":"Magnitude of the buoyant force on an object in a fluid","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"2,2,24,40\"}]"} {"title":"Density of the fluid","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"71,11,103,45\"}]"} {"title":"Acceleration due to gravity","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"195,33,199,34\"},{\"shape\":\"poly\",\"coords\":\"132,99\"},{\"shape\":\"rect\",\"coords\":\"278,11,301,47\"}]"} {"title":"Volume of fluid that the object displaces","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"147,2,179,37\"}]"}

Question

tBsiNfUnwj/GaltJS6Frct4KgS6ns33w
{"title":"Magnitude of the buoyant force on an object in a fluid","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"2,2,24,40\"}]"} {"title":"Density of the fluid","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"71,11,103,45\"}]"} {"title":"Acceleration due to gravity","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"195,33,199,34\"},{\"shape\":\"poly\",\"coords\":\"132,99\"},{\"shape\":\"rect\",\"coords\":\"278,11,301,47\"}]"} {"title":"Volume of fluid that the object displaces","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"147,2,179,37\"}]"}

Question

XXY/uoS8J7GW6if80S856+Vf+vUvDxAjJexmC/oJu8o=
{"title":"Magnitude of the buoyant force on an object in a fluid","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"2,2,24,40\"}]"} {"title":"Density of the fluid","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"71,11,103,45\"}]"} {"title":"Acceleration due to gravity","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"195,33,199,34\"},{\"shape\":\"poly\",\"coords\":\"132,99\"},{\"shape\":\"rect\",\"coords\":\"278,11,301,47\"}]"} {"title":"Volume of fluid that the object displaces","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"147,2,179,37\"}]"}

Question

BkJyvPyGQ2stF17zkM69MVU9NnUvxSeeHnkiSC1cmY5gwDa2S3G2+7TJO46rZEb9
{"title":"Magnitude of the buoyant force on an object in a fluid","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"2,2,24,40\"}]"} {"title":"Density of the fluid","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"71,11,103,45\"}]"} {"title":"Acceleration due to gravity","description":"Wrong","type":"incorrect","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"195,33,199,34\"},{\"shape\":\"poly\",\"coords\":\"132,99\"},{\"shape\":\"rect\",\"coords\":\"278,11,301,47\"}]"} {"title":"Volume of fluid that the object displaces","description":"Correct!","type":"correct","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"147,2,179,37\"}]"}

Review

To be specific, suppose an object displaces a volume \(V_{\mathrm{displaced}}\) of fluid. If the fluid has density \(\rho_{\mathrm{fluid}}\), the fluid that the object displaces has mass \(m_{\mathrm{fluid}} = \rho_{\mathrm{fluid}}V_{\mathrm{displaced}}\) and weight \(m_{\mathrm{fluid}}g = \rho_{\mathrm{fluid}}V_{\mathrm{displaced}}g\). Hence the magnitude \(F_{\mathrm{b}}\) of the buoyant force that acts on the object is