Chien Peng Yuan PHY231 Spring 2015 Intro ss15phy231midterm2 1 yuanch msu 4 pt For the next two questions select the correct units from the following list A kg s2 Yuan B kg m s2 C kg m2 s2 D m s2 Chien Peng E kg m s F m s Keep this exam CLOSED until advised by the instructor G kg s H m kg s Fill out the bubble sheet last name first initial and student number I kg m J The correct response is not shown above 50 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 The SI unit of energy is the Joule Which combination of units is dimensionally equivalent to the Joule 1 A B C D F G H I E J Possibly useful constants g 9 81 m s2 The SI unit of power is the Watt Which combination of units is dimensionally equivalent to the Watt 2 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 A B C D F G H I E J Chien Peng Yuan PHY231 Spring 2015 Intro ss15phy231midterm2 3 The curve represents an object in simple harmonic motion 4 pt A pendulum has a period on the earth of 0 93 s What is its period on the surface of Pluto where g 0 78 m s2 5 3 pt Match the points on the curve to the velocity and acceleration of the object The velocity is positive and the acceleration is positive 3 A Point A B Point B C Point C D G Point D Point G E H Point E Point H F Point F 3 pt With upward defined as the positive direction is the net force acting on the object at point G less than greater than or equal to zero 4 A less than B greater than C equal to A 1 08 B 1 57 C 2 27 D 3 30 E 4 78 F 6 93 G 10 05 H 14 58 I 21 14 J 30 65 Chien Peng Yuan PHY231 Spring 2015 Intro ss15phy231midterm2 5 3 pt A ladybug is clinging to the rim of a spinning wheel which is spinning counter clockwise and is speeding up At the moment shown when the bug is at the far right what is the approximate direction of the net force on the ladybug 4 pt A thin spherical shell of mass M 2 00 kg is released from rest at the top of an incline of height H 1 51 m and rolls without slipping to the bottom The ramp is at an angle of 26 3o to the horizontal Calculate the speed of the sphere s CM at the bottom of the ramp in m s 7 6 A B C D E A 1 49 10 1 B 2 16 10 1 C 3 13 10 1 D 4 53 10 1 E 6 57 10 1 F 9 53 10 1 G 1 38 H 2 00 I 2 91 J 4 21 Chien Peng Yuan PHY231 Spring 2015 Intro ss15phy231midterm2 7 3 pt In the final part of its life cycle a particular rotating spherical star expands to four times its normal diameter Assume the mass remains constant the mass is uniformly distributed before the expansion and the mass is uniformly distributed after the expansion How is the period of rotation affected 8 A B C The period decreases to one half its normal period The period decreases to one quarter its normal period The period decreases to one sixteenth its normal pe riod D The period increases by a factor of four E The period increases by a factor of eight F The period is unchanged G The period increases by a factor of two H The period increases by a factor of sixteen I The period decreases to one eighth its normal period 12 pt The mass m1 enters from the left with velocity v0 and strikes a heavier mass m2 m1 where m2 is initially at rest The collision between the blocks is perfectly elastic The mass m2 then compresses the spring an amount x positive velocities move to the right Immediately after the collision the magnitude of the momentum of m2 is the magnitude of the initial momentum of m1 9 A greater than B equal to C less than Immediately after colliding with m2 the velocity of mass m1 is zero 10 A greater than B equal to C less than The maximum energy stored in the spring is the initial energy of m1 11 A greater than B equal to C less than Immediately after the collision the energy of m2 is the initial energy of m1 12 A greater than B equal to C less than Chien Peng Yuan PHY231 Spring 2015 Intro ss15phy231midterm2 9 6 pt A small metal ball with a mass of m 81 6 g is attached to a string of length l 1 40 m It is held at an angle of 46 5 with respect to the vertical m l 4 pt Two wires support a massive beam of length L 12 m as shown in the figure above A box hangs from a wire which is connected a distance of 9 m from the left edge of the beam The tension in the left support wire is 800 N and the tension in the right support wire is 1000 N What is the mass of the box in kg m h x The ball is then released When the rope is vertical the ball collides head on and perfectly elastically with an identical ball originally at rest This second ball flies off with a horizontal initial velocity from a height of h 3 63 m and then later it hits the ground At what distance x will the ball land in m 13 A 1 54 B 1 74 C 1 97 D 2 23 E 2 52 F 2 84 G 3 21 H 3 63 I 4 10 J 4 64 14 A 15 3 B 17 3 C 19 6 D 22 1 E 25 0 F 28 3 G 31 9 H 36 1 I 40 8 J 46 1 Chien Peng Yuan PHY231 Spring 2015 Intro ss15phy231midterm2 11 4 pt The motor for a toy Ferris wheel creates a torque of 11 Nm The wheel requires 39 seconds to reach its design frequency of one revolution per 8 seconds What is the moment of inertia of the wheel in kg m2 15 A F 546 B 639 C 748 D 875 E 1024 1198 G 1401 H 1639 I 1918 J 2244 Printed from LON CAPA MSU Licensed under GNU General Public …
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