A 70kg diver stands on a flat steel plate resting on the lakebed at a depth of 8.0m in freshwater. The clay beneath the plate can tolerate a maximum additional pressure of 1.2×105Pa (above the pressure already exerted by the water at that depth).
What is the minimum area of the plate that prevents the clay from being overloaded? (Use ρwater=1.0×103kgm−3 and g=9.8ms−2.)
a) 1.6×10−2m2
b) 3.5×10−3m2
c) 5.7×10−3m2
d) 5.8×10−4m2