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nothingworksoutforme
02.08.2019 •
Physics
Aflat slab of styrofoam, with a density of 32 kg/m3, floats on a lake. for the steps and strategies involved in solving a similar problem, you may view a video tutor solution. what minimum volume must the slab have so that a 38 kg boy can sit on the slab without it sinking? express your answer with the appropriate units.
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Ответ:
0.0392 m³
Explanation:
Given:
Density of the styrofoam, ρ' = 32 kg/m³
Now, let the volume of the slab = V
the submerged volume be = V ;
now, the volume of water displaced will be V
thus,
the buoyant force acting will be = ρVg
where,
ρ is the density of water
g is the acceleration due to gravity
now, the
total downward force acting = weight of the boy + weight of the slab
total downward force acting =38 × g + ρ' × V × g
for the no sinking condition,
bouyant force should be equal to the total downward force
thus,
ρ × V × g = 38 × g + ρ' × V × g
or
ρ × V = 38 + ρ' × V
on subtituting the values
V ( 1000 - 32 ) = 38 ;
or
V = 0.0392 m³
Ответ:
field of view
3mm = 3x10^-3m
1 micron = 10^-6m
so there are 3x10^-3/10^-6 microns in 3mm
=3000microns
for the area, pi D^2 => 3X2999^^2 sq microns => 27000 sq microns