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Solution 1 - Physics 2C Summer Session I Solutions to...

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Physics 2C Summer Session I Solutions to Quiz #1 1. The increase in pressure is found from ° P = °gh so that h = ° P=°g = 10 5 Pa (1 : 03 ° 10 3 kg=m 3 ) 9 : 8 m=s 2 = 9 : 9 m ! C: 2. Balancing torques we °nd ° PA w 2 = F (1) ; where w is the width of the door. This leads to ° P = 2 F=Aw = 240 N= 4 m 2 = 60 Pa ! D 3. Since the cross sectional area of the beaker is 25 cm 2 ; the additional displaced mass of water is required so that the beaker is barely ±oating is 6 ° 25 = 150 cm 3 . Hence the beaker can contain 15 10 gm rocks before sinking. ! A 4. From the Bernoulli equation we have 1 2 °v 2 + P o = °g ( h ± y ) + P o v = p 2 g ( h ± y ) : From Newtonian mechanics the time required for the water to fall to the surface is t = p 2 y=g: The conditions of the problem requires y = vt = p 2 g ( h ± y ) p 2 y=g = 2 p y ( h ± y ) y 2 = 4 y ( h ± y ) y = 4 ( h ± y ) 5 y = 4 h ! y = : 8 h = 8 m ! E 5. The relationship between centigrade (Celsius) and Farenheit is T C = 5 9 ( T F ± 32) : 1
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From the conditions of the problem we have T F = T C + 100 : Hence T C = 5 9 ( T C + 68) 4 T C = 340 T C = 85 ! A 6.
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