# TAMU PHYS 221 - final exam 221 sp-09 (9 pages)

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# final exam 221 sp-09

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## final exam 221 sp-09

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Exam

Pages:
9
School:
Texas A&M University
Course:
Phys 221 - Optics&Thermal Physics
##### Optics&Thermal Physics Documents
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Physics 221 Final Exam Spring 09 Name Section No NOTE Each problem is worth ZOpts spring of to a 1 10 pts A light constant k 90 0 N rn is attached vertically table see Fig below A 2 00 g balloon is filled with helium density 0 180 kg rn 3 density of air 1 29 kg rn to a volume of 3 5 00 m 3 and is then connected to the spring causing it to stretch Determine the amount of stretch Y when the balloon is in equilibrium V 4 fr I 4 c 4 JCfYg4 vc F S LI I fsiej t si 3 S57M F y I v i7 c 29 j 2 10 pts A village maintains a large tank with an open top containing water for emergencies The water can drain from the tank through a hose of diameter 6 00 cm The hose ends with a nozzle of diameter 2 20 cm A rubber stopper is inserted into the nozzle The water level in the tank is kept 7 50 m above the nozzle a Calculate the friction force exerted by the nozzle on the stopper b The stopper is removed What mass of water flows from the nozzle in 2 0 h c Calculate the gauge pressure of the flowing water in the hose just behind the nozzle P L Vr 1It Stoppc t Ot 4 1 L I 2 2 t A CtV p e5L f A A 1 b Cf0X c7 AJi 1 1 3 d f 7 3sxiO P K b i f4h PV2 p6j c y 7 S v l s 7 O 2 x 0 5 3 t A 2 j 7 Cl 0 Tt j IZ 3 10 pts In some diatomic molecules with each atom having a mass of m the force each atom exerts on the other can be approximated by CD F i r r where r is the atomic separation and C and D are positive constants Assume one atom is kept at rest a Find the equilibrium position r 0 in terms of C and D b Let zSr r ro be a small displacement from equilibrium where ro Show that for these small displacements the motion is approximately simple harmonic c Determine the force constant in terms of m C and D d Find the period of such motion 2 k 1 2e 11 i if 7 4 p t t h 3 Vh 3 c 3 L I II 2 0 c 3 A oI t J I U IA Vb C b 3t 0 rr I i A t 3 sk 1 4 f1 t vj 4 12 pts A scuba diver releases a 3 00 cm diameter spherical bubble of air from a depth of 14 0 m Assume the temperature is constant at 298 K and that the air

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