Answer to Question #154334 in Classical Mechanics for niya

Question

How much water (density = 1.00 X 10³ kg/m3 ) must be displaced to float a cubic block of wood (density 655 kg/m3) that is 15.0 cm on a side?

Answer 1

Answer

Using buoyancy force equation

$m_wg=m_{wood}g$

Where we indicates for water

$V_w \rho_w=V_{wood} \rho_{wood}$

$V_w =\frac{V_{wood} \rho_{wood}}{\rho_w}$

$=\frac{.15\times.15\times.15\times665}{1000}=0.0022m^3$