A rectangular block of wood, $12$ cm x $16$ cm x $40$ cm$,$ has a density of $$rho subscript block end subscript$=0\mathrm{.}55$rho subscript water end subscript$,$ where the density of water $$rho subscript water end subscript equals $1000$ space fraction numerator k g over denominator m cubed end fraction$$ and acceleration due to gravity $$g equals space $9\mathrm{.}8$ space m over s squared$.$ Calculate the magnitude of the buoyant force that acts on the block when it is placed in a pool of fresh water. Hint: Draw a free$-$body diagram labeling all of the forces on the block.