Elementary Principles 33 - 3.38 (a) a 2m 1m b Pa = gh +...

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3- 17 3.38 (a) Pg h P P P a atm b atm = + = ρ , If the inside pressure on the door equaled P a , the force on the door would be F A P P ghA door a b door = = () Since the pressure at every point on the door is greater than P a , Since the pressure at every point on the door is greater than P a , F > ghA door (b) Assume an average bathtub 5 ft long, 2.5 ft wide, and 2 ft high takes about 10 min to fill. ± . . ± .. / m i n V V t V tub =≈ ×× =⇒ = × = 52 25 5 25 125 ft 10 min ft / min 3 33 (i) For a full room, 7 m h = 2 5 32 2 1000 kg 9.81 m 1 N 7 m 2 m 1.4 10 N m s 1 kg m/s FF >⇒ > × The door will break before the room fills (ii) If the door holds, it will take
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