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Hippos spend much of their lives in water, but amazingly, they don’t swim. manatees, They have, like little very body fat. The density of a hippo’s body is approxi-mately 1030 kg/m3, so it sinks to the bottom of the freshwater lakes and rivers it frequents—and then it simply walks on the bottom. A 1500 kg hippo is completely submerged, standing on the bottom of a lake. What is the approximate value of the upward normal force on the hippo?

Answer :

opudodennis

Answer:

428.59 N

Explanation:

Buoyant force, [tex]B=Vg\rho[/tex] where V is volume, g is gravitational constant and \rho is density

[tex]B+F_{upward}=mg[/tex] where [tex]F_{upward}[/tex] is upward force

[tex]Vg\rho_{w}+F_{upward}=mg[/tex]

[tex]F_{upward}=mg- Vg\rho_{w}[/tex]

[tex]F_{upward}=g(mg- V\rho_{w})=g(m-m\frac {\rho_{w}{\rho_{hippo}}[/tex] where [tex]\rho_{hippo}[/tex] is the density of hippo

[tex]F_{upward}=mg(1-\frac {\rho_{w}}{\rho_{hippo}})[/tex]

Using g as 9.81

[tex]F_{upward}=1500*9.81*(1-1000/1030)= 428.5922 N[/tex]

Therefore, the upward force=428.59 N

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