Richard Hallstein PHY231C Spring 2011 In Practice Exam 1 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 1 3 3 pt A right cylinder has a radius r of 14 5 mm and a height h of 32 2 mm What is the volume of the cylinder in m3 6 pt The position versus time graph below is a parabola and the positive direction is to the top of the page 1 A cid 13 2 13 10 5 B cid 13 2 13 10 2 C cid 13 2 13 101 D cid 13 6 77 103 F cid 13 2 13 107 E cid 13 2 13 104 G cid 13 2 13 1010 H cid 13 2 13 1013 A car is initially at rest on a straight road The histgram be low shows the car s acceleration along that road as a function of time 2 s m n o i t a r e e c c A l 6 5 4 3 2 1 0 1 2 3 4 5 4 pt Calculate the average speed from t 0 to t 7 s in m s 2 A cid 13 1 33 E cid 13 3 24 C cid 13 2 07 G cid 13 5 06 B cid 13 1 66 F cid 13 4 05 D cid 13 2 59 H cid 13 6 32 3 pt An object is thrown directly downward from the top of a very tall building The speed of the object just as it is released is 25 3 m s After being thrown the object falls freely due to gravity Neglect air resistance and calculate the distance in meters which the object covers between times t1 2 6 s and t2 5 77 s after it is thrown 3 A cid 13 210 B cid 13 280 C cid 13 372 D cid 13 495 F cid 13 875 G cid 13 1164 H cid 13 1548 E cid 13 658 Select the choice that most accurately describes each quantity during the motion depicted on the graph A always zero B zero at least once and sometimes negative C zero at least once sometimes positive and sometimes negative D always negative E always positive F zero at least once and sometimes positive G sometimes positive sometimes negative but never The acceleration is 4 B cid 13 zero A cid 13 G cid 13 G cid 13 A cid 13 G cid 13 The speed is 5 A cid 13 The velocity is 6 B cid 13 C cid 13 D cid 13 E cid 13 F cid 13 B cid 13 C cid 13 D cid 13 E cid 13 F cid 13 0 1 2 3 4 5 6 7 C cid 13 D cid 13 E cid 13 F cid 13 Time s Richard Hallstein PHY231C Spring 2011 In Practice Exam 1 5 Two rocks are thrown from the top of a very tall tower One of them is thrown vertically up with an initial velocity of vup 18 3 m s The other rock is thrown horizontally to the right with an initial velocity of vright 11 9 m s See gure 6 pt Consider a projectile which strikes a target as shown below Ignore all forces except gravity Point A refers to a point just beyond the muzzle of the cannon B refers to the highest point in the trajectory and C refers to a point just before landing on the cli vup vright The magnitude of the vertical component of the velocity at A is the magnitude of the vertical component of the velocity at C 9 A cid 13 greater than C cid 13 equal to B cid 13 less than 3 pt How far will the rocks be from each other after 4 09 s Neglect air resistance and assume that the rocks will not hit the ground or the tower in m 7 A cid 13 8 93 101 B cid 13 1 12 102 C cid 13 1 40 102 F cid 13 2 72 102 D cid 13 1 74 102 E cid 13 2 18 102 G cid 13 3 41 102 H cid 13 4 26 102 The acceleration at B is the acceleration at C 10 A cid 13 greater than C cid 13 equal to B cid 13 less than The horizontal component of the velocity at A is than the horizontal component of the velocity at C 11 A cid 13 greater than C cid 13 equal to B cid 13 less than 3 pt A boat crossing a 247 0 m wide river is directed so that it will cross the river and land on the opposite shore directly across from the starting point 3 pt Two masses M1 5 30 kg and M2 3 70 kg are on a frictionless surface attached by a thin string A force of 35 9 N pulls on M2 at an angle of 23 5 from the horizontal as shown in the gure Calculate the tension T in the string The boat has a speed of 5 00 m s in still water and the river ows uniformly at 2 70 m s Calculate the time required for the boat to reach the opposite shore in s 8 A cid 13 1 92 101 B cid 13 2 40 101 C cid 13 3 01 101 F cid 13 5 87 101 D cid 13 3 76 101 E cid 13 4 70 101 G cid 13 7 34 101 H cid 13 9 17 101 in N 12 A cid 13 3 02 B cid 13 4 39 E cid 13 1 34 101 D cid 13 9 22 G cid 13 2 81 101 H cid 13 4 08 101 C cid 13 6 36 F cid 13 1 94 101 Richard Hallstein PHY231C Spring 2011 In Practice Exam 1 7 2 pt The block on the incline shown in the diagram below is observed moving UP the incline A B C D Which free body diagram most accurately depicts all forces acting on the block as it moves UP the incline f …
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