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29 September, 08:16

A person is diving in a lake in the depth of h = 5.5 m. The density of the water is rho = 1.0 x10^3 kg/m^3. The pressure of the atmosphere is P0 = 1.0 x 10^5 Pa. The surface area of the top of the person's head is A = 0.046 m^2.

(a) Express the absolute pressure at the depth of h, P, in terms of P0, rho, and h.

(b) Calculate the numerical value of P in Pa.

(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.

(d) Calculate the numerical value of F in N.

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  1. 29 September, 08:39
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    Answer:a) P = Po + rho*h*g

    b) P = 5.4 * 10^9 pa

    c) F = P/A = (Po + rho*h*g) / A

    d) 1.174*10^11N

    Explanation: Using the formula

    P = Po + rho*h*g

    P = 1.0 x 10^5 + 1000 * 5.5 * 9.81

    P = 5.4 * 10^9pa

    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

    F = P/A = (Po + rho*h*g) / A

    Using the above formula

    Where A = 0.046m^2

    F = P / A = 5.4*10^9/0.046

    F = 1.174*10^11N
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