A compressor weighing 1000 Kg operated at 1500 rpm. When mounted directly to the floor,

it produces undesirable vibrations of the floor. To reduce these vibrations, the machine has

to be mounted on a separate concrete block that is separate from the building. The footprint

of the compressor requires that the block be 1.8m wide and 2.2 m long. The soil below the

concrete block has a compression coefficient kc = 20 x 106 N/m3. If the density of concrete

is 23×103 N/m3, then determine the height of the concrete block so that there is an 80%

reduction in the force transmitted to the soil