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an object of mass m and density d is surrounded by air of density p. show that the resultant force F acting...? - kindelbow047 - 04-28-2014 02:01 AM
an object of mass m and density d is surrounded by air of density p. show that the resultant force F acting downward on the object is given by F=mg[1-(p/d)]
Thank you in advance!!!
- Dr Zorro - 04-28-2014 02:03 AM
The object has volume V = m/d. Therefore it experiences a buoyant force (equal to the weight of the air displaced)
Fb = V p g = m p/d g
The net downward force therefore is
Fnet = m g - m p/d g = m g ( 1 - p/d)