The hatch door of a submarine has an area of 0.5m2. The specific gravity of...

JAMB 1982

The hatch door of a submarine has an area of 0.5m². The specific gravity of sea water is 1.03. Assume that g = 10ms^-1,and neglect the atmospheric pressure. The force exerted by the sea water on the hatch door at a depth of 200m is

A. 1.03 x 10⁵N
B. 1.03 x 10⁴Nm^-2
C. 1.06 x 10⁵Nm^-2
D. 2.06 x 10⁶N
E. 1.03 x 10³N

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Correct Answer: Option E

Explanation

Pressure in liquid = e x h x g

Pressure in solid = \(\frac{force}{area}\)

\(\frac{force}{area}\) = e x h x g

force = 0.5 x 10 x 200 x 1.03

= 1030N

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