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PSU PHYS 211 - Final Exam Sample 1

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P211 Spring 2004 Form A1. A 2 kg block A traveling with a speed of 5 m/s as shown collides with a stationary 4 kg block B. After thecollision, A is observed to travel at right angles with respect to the initial direction with a speed of 2.5 m/s.What is the magnitude of the impulse given to B by A ( in kg m/s)?A. 4.0B. 11.2C. 16.3D. 25E. 02. A 2.0 g coin is placed on a flat, horizontal turntable. The turntable is observed to make three revolutions in 3.0s. The coin is observed to slide off the turntable when it is more than 8.0 cm from the center of the turntable.What is the coefficient of static friction between the coin and the turntable?A. 2.90B. 1.32C. 0.899D. 0.322E. 6.45 x 10-4Page 1P211 Spring 2004 Form A3. A flying saucer deep in interstellar space, free of external forces, rotates about its symmetry axis with angularvelocity ω. The aliens inside the saucer rearrange the furniture to make room for a Christmas tree they havejust procured from Elvis. As a result, the angular velocity of the saucer decreases to ω/2. If originally therotational kinetic energy of the saucer was K, after the rearrangement its new rotational kinetic energy is:A. K/4B. K/2C. KD. 2KE. 4K4. A disk of radius r and mass M has a moment of inertia given by I = 1/2 Mr2 for rotations about an axisthrough the center of the disk as shown. If a second disk of twice the mass and half the radius is added asshown in the figure, the new moment of inertia of the combined disks is:R/2RA. 3/4 Mr2B. 7/8 Mr2C. Mr2D. 5/4 Mr2E. 3/2 Mr2Page 2P211 Spring 2004 Form A5. Find the net torque on the wheel shown below about the axle through O if a=10 cm and b=25 cm? (Aclockwise rotation is negative)abO12 N9 N10 NA. 1.2 NmB. 3.45 NmC. 5.95 NmD. -3.55 NmE. -1.2 Nm6. The figure below shows the velocity of three particles moving with respect to the origin of the coordinatesystem O. Which of the particles have zero angular momentum in this coordinate system? O a b c A. aB. bC. cD. a and cE. a, b, and cPage 3P211 Spring 2004 Form A7. A satellite circles planet Roton every 2.8 h in an orbit having a radius of 1.2 x 107 m. If the radius of Roton is5.0 x 106 m, what is the magnitude of the free-fall acceleration on the surface of Roton?A. 31 m/s2B. 27 m/s2C. 34 m/s2D. 40 m/s2E. 19 m/s2Page 4P211 Spring 2004 Form A8. The figure below shows four arrangements of a particle of mass m and one or more uniform rods of mass Mand length L, each a distance d from the particle. Which has the largest magnitude net gravitational force onthe particle from the rods?A. B. C. D. E. there is a tiePage 5P211 Spring 2004 Form A9. A certain mass on a spring system has a mass M and a spring constant k, and is oscillating with a period T. If8 kg is added to the original mass, the period is found to triple. The original mass is:A. 8 kgB. 1 kgC. 1/8 kgD. 5 kgE. 2 kg10. A model rocket launches with initial net upward acceleration of 1.50g, where g is the absolute value of theacceleration due to gravity. This acceleration is maintained for 3.00 seconds. After the 3.00 seconds haspassed the rocket coasts and eventually falls back to earth. At what time does the rocket reach its maximumheight?A. 3.0 sB. 4.5 sC. 7.5 sD. 10.5 sE. 12.0 s11. Vectors u and v each have magnitude L. When drawn with their tails at the same point, the angle betweenthem is 30°. The magnitude of u × v is:A. 2/2LB. 2LC. 23/2LD. 22LE. none of thesePage 6P211 Spring 2004 Form A12. A dart is thrown horizontally toward the bull's eye, point P on the dart board, with an initial speed of 9.50m/s. It hits at point Q on the rim, vertically below P, 0.17 s later. What is the distance PQ?A. 0.07 mB. 0.14 mC. 0.28 mD. 0.42 mE. 1.62 m13. Two footballs A and B are kicked from a field line at an angle of 15° from the horizontal. Ball A has initialspeed V, and ball B has initial speed 2V. If ball A travels a distance D before hitting the ground, then thedistance travelled by ball B is:A. D/4B. D/2C. DD. 2DE. 4DPage 7P211 Spring 2004 Form A14. A block of mass 4.0 kg lies on a frictionless horizontal table in contact with a 6.0 kg block. At the oppositeside of the 4.0 kg block, a constant horizontal force of 100.0 N is applied as shown in the diagram. What isthe magnitude of the horizontal force on the 6.0 kg block?A. 40 NB. 60 NC. 100 ND. 150 NE. 0 N15. An astronaut is rotated in a horizontal centrifuge at a radius of 8.0 m. What is the astronaut’s speed if thecentripetal acceleration has a magnitude of 6.0g?A. 2.7 m/sB. 6.9 m/sC. 15.3 m/sD. 21.7 m/sE. 30.7 m/sPage 8P211 Spring 2004 Form A16. A ski lift raises 100 passengers averaging 80 kg in mass to a height of 150 m in 60 seconds. What averagepower does it output during the 60 seconds?A. 2.0 x 104 WB. 1.0 x 105 WC. 2.0 x 105 WD. 1.2 x 107 WE. 7.1 x 108 W17. A 2200 kg railroad flatcar, which can move with negligible friction, is motionless next to a platform. A 260 kgsumo wrestler runs at +5 m/s along the platform (parallel to the track) and then jumps onto the flatcar. What isthe speed of the flatcar if the wrestler keeps running at +5 m/s relative to it in his original direction?A. +5 m/sB. -5 m/sC. 0 m/sD. +0.59 m/sE. -0.59 m/s18. How fast would an 80 kg student need to run to have the same linear momentum as a 1600 kg car moving at1.8 km/h?A. 2.2 m/sB. 10 m/sC. 20 m/sD. 36 m/sE. 43 m/sPage 9P211 Spring 2004 Form A19. An irregularly shaped object of mass 3 kg has a moment of inertia 11 kg m2 about an axis through its center ofmass. It is rotating with uniform angular velocity ω=3 rad/s about a parallel axis separated by b = 0.5 m fromthe center of mass. What is the rotational kinetic energy of the object?A. 49.5 JB. 52.9 JC. 35.3 JD. 37.1 JE. 17.6 J20. A merry-go-round of radius R = 3 m has a moment of inertia I = 250 kg m2, and is rotating at ω = 6 rev/min.A child whose mass is 25 kg jumps onto the edge of the merry-go-round, heading directly toward the centerat 5 m/s. What is the new angular speed of the merry-go-round immediately after the child has boarded it?A. 0.029 rad/sB. 0.060 rad/sC. 0.165 rad/sD. 0.105 rad/sE. 0.330 rad/sPage 10P211


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