A person who weights 790 N in air is lowered into a tank of water up to chin lev

Question

A person who weights 790 N in air is lowered into a tank of water up to chin level. He sits in a     harness of neligible mass suspended from a scale that reads his apparent weight. He now exhales    as much air as possible and dunks his head under the water, submerging his entire body.  His apparent weight    while submerged is 35.4 N.   

1)What is total net force on the man when he is suspended and submerged?       

Fnet = _________ N

2)What is the total volume of the person?       

Vp = ___________ m^3

3)What is the average density of the person?       

?p = ____________ kg/m^3

A person who weights 790 N in air is lowered into a tank of water up to chin level. He sits in a harness of neligible mass suspended from a scale that reads his apparent weight. He now exhales as much air as possible and dunks his head under the water, submerging his entire body. His apparent weight while submerged is 35.4 N. What is total net force on the man when he is suspended and submerged? Fnet = N What is the total volume of the person? Vp = m^3 What is the average density of the person? kg/m^3

Explanation / Answer

1) net force on the man when he is submerged = 0

2) total volume of the person Vp :

Wt in air = 790 N = m*g

therefore m = 80.53 Kg

apparent wt = 35.4 N

therefore Fb = Wt in air - app.wt = 754.6 N

Fb = dwate * g * Vp

therefore Vp = 0.0769 m^3

3) average density of person = m/Vp = 1046.91 Kg/m^3

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