Richard Hallstein PHY231C Spring 2011 In Practice Exam 3 1 hallstei msu Hallstein Richard Keep this exam CLOSED until advised by the instructor Fill out the bubble sheet last name rst initial and student number 60 minute long closed book exam A two sided 8 5 by 11 handwritten help sheet is allowed When done hand in your bubble sheet and your exam Possibly useful constants g 9 81 m s2 G 6 67 10 11 Nm2 kg2 5 67 10 8 W m2K4 R 0 0821 L atm mol K 8 31 J mol K kB 1 38 10 23 J K Possibly useful Moments of Inertia Solid homogeneous sphere ICM 2 5 MR2 Thin spherical shell ICM 2 3 MR2 Thin uniform rod axis perpendicular to length ICM 1 12 ML2 Solid homogeneous cylinder axis through center of mass and parallel to length ICM 1 2 MR2 Useful information for Geometry Volume of a sphere V 4 3 r3 Volume of a cylinder V r2h Richard Hallstein PHY231C Spring 2011 In Practice Exam 3 3 3 pt A stainless steel orthodontic wire is applied to a tooth as shown in the gure above The wire has an unstretched length of 25 mm and a cross sectional area of 3 mm2 The wire is stretched 0 1 mm Young s modulus for stainless steel is 1 8 1011 Pa What is the tension in the wire in N 1 A cid 13 2160 B cid 13 2441 C cid 13 2758 D cid 13 3117 E cid 13 3522 F cid 13 3980 G cid 13 4497 H cid 13 5082 T 9 pt The gure illustrates ow through a pipe with diame ters of 1 mm and 2 mm and with di erent elevations Px is the pressure in the pipe and Vx is the speed of a non viscous incompressible uid at locations x Q R S T or U U Q S R 3 pt Consider the hydraulic system shown above A force of 500 N is applied as shown on the piston to the left which has a diameter of a 4 cm The piston on the right has a diameter b 14 cm What weight W in N can be lifted with this force Ignore friction and the weights of the piston 2 A cid 13 659 B cid 13 956 C cid 13 1386 D cid 13 2009 E cid 13 2913 F cid 13 4224 G cid 13 6125 H cid 13 8881 Select the correct answers VT is 2VQ 3 A cid 13 Greater than C cid 13 Equal to PQ is PR 4 A cid 13 Greater than C cid 13 Equal to PT is PR 5 A cid 13 Greater than C cid 13 Equal to B cid 13 Less than B cid 13 Less than B cid 13 Less than 3 pt A uniform block of height 0 460 m oats in glycerin of density 1260 0 kg m3 The bottom of the block is 0 414 m below the surface of the glycerin What is the density of the block in kg m 3 6 A cid 13 6 95 102 B cid 13 7 86 102 C cid 13 8 88 102 F cid 13 1 28 103 D cid 13 1 00 103 E cid 13 1 13 103 G cid 13 1 45 103 H cid 13 1 64 103 Richard Hallstein PHY231C Spring 2011 In Practice Exam 3 5 2 pt A bimetallic strip is held xed at the bottom end as shown in the gure 3 pt Two blocks of metal come into contact with one another Given the following data Block one Speci c heat 0 111 kcal kg C Mass 0 122 kg Initial temperature 25 C Block two Speci c heat 0 03 kcal kg C Mass 0 161 kg Initial temperature 77 C What is the nal temperature in C of the two blocks after they reach equilibrium 10 A cid 13 36 7 E cid 13 51 9 B cid 13 38 7 F cid 13 52 0 C cid 13 40 6 G cid 13 54 6 D cid 13 51 0 H cid 13 102 0 3 pt A small spinning asteroid is in a circular orbit around a star much like the earth s motion around our sun The asteroid has a surface area of 7 70 m2 The total power it absorbs from the star is 4700 W Assuming the surface is an ideal absorber and radiator calculate the equilibrium tem perature of the asteroid in K 11 A cid 13 7 29 101 B cid 13 1 06 102 C cid 13 1 53 102 F cid 13 4 67 102 E cid 13 3 22 102 D cid 13 2 22 102 G cid 13 6 77 102 H cid 13 9 82 102 cid 1 cid 1 cid 1 cid 1 cid 0 cid 0 cid 0 cid 0 cid 0 cid 0 cid 0 cid 0 cid 1 cid 1 cid 1 cid 1 cid 0 cid 0 cid 0 cid 0 cid 1 cid 1 cid 1 cid 1 cid 0 cid 0 cid 0 cid 0 cid 1 cid 1 cid 1 cid 1 cid 0 cid 0 cid 0 cid 0 cid 1 cid 1 cid 1 cid 1 cid 0 cid 0 cid 0 cid 0 cid 1 cid 1 cid 1 cid 1 The metal on the left has a coe cient of linear heat expansion left 1 80 10 5 1 K the metal on the right has of right 3 45 10 5 1 K When the strip is heated it will complete the sentence 7 A cid 13 bend right B cid 13 remain straight C cid 13 bend left 4 pt The pressure inside a gas bottle at 27 7 C is 3890 kPa What will be the pressure inside the bottle if 27 1 percent of the gas is released while the temperature drops to 4 9 C in kPa 8 A cid 13 3 56 102 B cid 13 4 74 102 C cid 13 6 30 102 F cid 13 1 48 103 D cid 13 8 38 102 E cid 13 1 11 103 G cid 13 1 97 103 H cid 13 2 62 103 3 pt A cylinder contains CO2 gas at 56 0 C temperature What is the RMS speed of the gas molecules The mass of a CO2 molecule is 7 30 10 26 kg in m s 9 A cid 13 6 74 101 B cid 13 9 77 101 C cid 13 1 42 102 F cid 13 4 32 102 E cid 13 2 98 102 D cid 13 2 05 102 G cid 13 6 26 102 H cid 13 9 08 102 Richard Hallstein PHY231C Spring 2011 In Practice Exam 3 7 Hot 123456789 123456789 123456789 123456789 123456789 123456789 123456789 123456789 123456789 123456789 123456789 123456789 123456789 123456789 123456789 123456789 123456789 Cold A cylinder made of zinc K 200 W m degrees C supports a hot reservoir at …
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