(a) Calculate the absolute pressure at the bottom of a fresh-water lake at a dep
ID: 1617387 • Letter: #
Question
(a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 23.4m. Assume the density of water is 1.00 times 10^3 kg/m^3 and the air above is at a pressure of 101.3 kPa. 22932 Your response differs significantly from the correct answer Rework your solution from the beginning and check each step carefully. Pa (b) What force is exerted by the water on the window of an underwater vehicle at this depth the window is circular and has a diameter of 36.0 an? N A small ferryboat is 350 m wide and 5.90 m long. When a loaded truck pulls onto it, the boat sinks an additional 3.50 cm into the river. What is the weight of the truck? kN A spherical weather balloon is filled with hydrogen until its radius is 4.20 m. Its total mass including the instruments t carries is 19.0 kg. (a) Find the buoyant force acting on the balloon, assuming the density of air is 129 kg/m^2. kN (b) What is the net force acting on the balloon and its instruments after the balloon is released from the ground? kN (c) Why does the radius of the balloon as it rises to higher altitude? Because the external pressure with increasing altitude.Explanation / Answer
5.a)
The absolute pressure at bottom is P = P0 + gh, where P0 is the atmospheric pressure.
P = 101.3X103Pa + (103kg/m3)(9.8 m/s2)(23.4 m)
or, P = 330620 Pa
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5.b)
F = P.A
P = 330620 Pa
A = 3.14X(0.18m)2, since the diameter is 36 cm, radius will be 18 cm = 0.18m
or, A = 0.102 m2
F = 33636 N
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