Question

10. A person is diving in a lake in the depth of h=10.5 m. The density...

10. A person is diving in a lake in the depth of h=10.5 m. The density of the water is q= 0 x 103kg/m3. The pressure of the atmosphere is P0= 0 x 105Pa. The surface area of the top of the person’s head is A=0.0335 m2.

  1. Express the absolute pressure at the depth of h, P, in terms of p0, q, and h.
  2. Calculate the numerical value of P in Pa.
  3. 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.
  4. Calculate the numerical value of F in N.

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