Question

A steel block weights 39.9 N has a volume of 0.0045 m3 submerged in fresh water , decide whether the block floats or sinks in the water ? ( Hint : density of Water = 1000 kglm3)

Answer 1

Solution.

$P=39.9N;$

$V=0.0045m^3;$

$\rho_w=1000kg/m^3;$

The power of Archimedes is sought by the formula:

$F_A=\rho_wgV;$

$F_A=1000kg/m^3\sdot9.81N/kg\sdot0.0045m^3=44.145N;$

Since $F_A>P,$ the unit floats in the water.

Answer: $F_A=44.145N,$ the unit floats in the water.