On land, the most massive concrete block you can carry is 25 kg. Given concrete’s 2200‐ kg/m3 density, how massive a block could you carry underwater

Respuesta :

Answer:

46kg approx.

Explanation:

Given data

Density of concrete  ρ_c=2200kg/m3

Mass of concrete m_c= 25kg

In water

[tex]F_{P2} + F_{app}-m_{cg}=0[/tex]

[tex]F_{app}=m_{cg}-F_{P2}[/tex]

Max Fapp = 25*g

Buoyancy force

[tex]F_{P2} = \rho WgV_c= \rho Wg\frac{\rho_c}{m_c}\\\\F_{ p2}= \rho Wg\frac{\rho_c}{m_c}[/tex]

[tex]25*g=m_cg- \rho W g\frac{mW}{\rho_c}= m_cg(1- \frac{\rho W}{\rho_c} )[/tex]

[tex]m_c=25( \frac{\rho_c}{\rho_c- \rho W} )[/tex]

substitute

[tex]m_c=25( \frac{2200}{2200- 1000} )\\\\m_c=25*1.833\\\\m_c=45.8[/tex]

=46kg approx.

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