Answer:
(a)653.6 N
(b) The system will sink
Explanation:
(a)
Assuming the density of sea water as [tex]\rho= 1.025\times 10^{3} Kg/m^{3}[/tex] then considering Archimedes principle
Upthrust = weight of fluid displaced
Upthrust =Mg = [tex]V\rho g[/tex] (relating density, mass and volume and making mass the subject, mass is a product of density and volume)
Where m is the mass, v is volume in cubic meters and g is acceleration due to gravity.
Substituting 65 l which is 0.065 cubic meters for v, 9.81 for g and density of sea water then
[tex]Upthrust=0.065\times 1025\times 9.81= 653.5913 N[/tex]
Rounding off, the buoyancy force= 653.6 N
(b)
The total weight of the diver and gear is given by W=mg
W= 68x9.81 = 667.08 N
Since weight is greater than the buoyancy, then the system will sink.
