A scuba diver and her gear displace a volume of 70.0 LL and have a total mass of 74.3 kgkg . what is the buoyant force on the diver in sea water? will the diver sink or float?

Respuesta :

Answer:

Explanation:

Given

Volume displaced by diver [tex]V=70\ L[/tex]

mass of scuba diver [tex]m=74.3\ kg[/tex]

Also density of sea water [tex]\rho _s=1.025\times 10^3\ kg/m^3[/tex]

Weight of diver [tex]W=mg=74.3\times 9.8=728.14\ N[/tex]

Buoyant force on diver [tex]F_b=\rho _s\times V\times g[/tex]

[tex]F_b=1025\times 70\times 10^{-3}\times 9.8=703.15\ N[/tex]

Since weight is greater than buoyant force so diver will sink in the sea                  

Answer:

The buoyant force on the diver is 703.15 N.

The diver will sink.

Explanation:

Given that,

Displace volume = 70.0 L

Total mass = 74.3 kg

We need to calculate the buoyant force on the diver

Using formula of buoyant force

[tex]F_{b}=\rho gV[/tex]

Where, V = volume

g = acceleration due to gravity

[tex]\rho[/tex]=density of water

Put the value into the formula

[tex]F_{b}=1.025\times10^{3}\times9.8\times70.0\times10^{-3}[/tex]

[tex]F_{b}=703.15\ N[/tex]

We need to calculate the weight of diver

Using formula of weight

[tex]W= mg[/tex]

[tex]W=74.3\times9.8[/tex]

[tex]W=728.14\ N[/tex]

As the weight of diver > upthrust force

The diver will sink

Hence, The buoyant force on the diver is 703.15 N.

The diver will sink.

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