Problem $10$: $(9\%$ of Assignment Value$)$

A person is diving in a lake in the depth of $h=8\mathrm{.}5m.$ The density of the water is $=1\mathrm{.}0{10}^{3}k\frac{g}{m^3}.$ The pressure of the atmosphere is $P_0=1\mathrm{.}0{10}^5$ Pa$.$ The surface area of the top of the person's head is $A=0\mathrm{.}051m^2.$

Part $($a$)$

Express the absolute pressure at the depth of $h,P,$ in terms of $P_O,,$ and $h.$

$P=$

$$

$$

Grade Summary

Deductions

$0\%$

Potential

$100\%$

$20$ Submission$($s$)$ Remaining

Hints: $1\%$ deduction per hint. Hints remaining: $3$ Feedback: $0\%$ deduction' per feedback:

Part $($b$)$

Calculate the numerical value of $P$ in Pa $.$

Part $($c$)$

Express the magnitude of the force exerted by water on the top of the person's head $F$ at the depth $h$ in terms of $P$ and $A.$

Part $($d$)$

Calculate the numerical value of $F$ in N $.$