Answer to Question #210078 in Mechanical Engineering for Lihle

Question

A ractangular woodern block with dimensions 0,6m x 0,5m x 0,3m high floats on water(1000kg/m^3). The woodern block has a density of 800kg/m^3. Determine the height of the block protruding from the water.

Answer 1

fraction of object immersed = $\dfrac{800}{1000} =\dfrac{ 4}5$

fraction of object protruding = $1 - \dfrac45 = \dfrac15$

height of wooden block = 0.3m

height of the block protruding from the water = $\dfrac15 × 0.3m = 0.06m$