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PSU PHYS 211 - 211_Final_Sample_1

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PHYS 211 - FNL Sample 11. A 0.60 kg rock is held against a spring with spring constant 250.0 N/m so that the spring iscompressed a distance 0.10 m. The rock is released from rest and then slides up a length l on aramp which makes an angle of  = 20.° with the horizontal before it momentarily comes to rest.If both the horizontal surface and ramp are frictionless what is the distance l?lA. 0.62 mB. 0.21 mC. 6.2 mD. 0.73 mE. 0.07 m2. A powerful slingshot has an elastic band that is pulled back until a maximum spring force of Fmaxis encountered (maximum force the person can exert). A projectile of mass M is released fromrest. Which of the following strategies could be applied to ensure the maximum projectilespeed leaving the slingshot? Assume the same person is using the slingshot, i.e., same Fmax.A. Replace the projectile with one of smaller density but equal mass.B. Replace the projectile with one of greater mass.C. Replace the elastic band with a stiffer one (higher spring constant k).D. None of the above strategies.E. Replace the elastic band with a softer one (lower spring constant k).Page 1PHYS 211 - FNL Sample 13. An object of mass 4 kg moves under the influence of a conservative force, with an associatedpotential energy U(x) = x2, with U expressed in J if x is in m, as given in the figure. If the objectis released from rest at a position of x = -3 m, how fast is it moving at the x = 1 m position?A. 0.43 m/sB. 1.58 m/sC. 3.0 m/sD. 2.0 m/sE. 0 m/s4. A cannon launches a ball horizontally off the edge of a cliff of height 10 meters and it lands ahorizontal distance of 200 meters from the base of the cliff. With what initial speed did thecannon fire the ball?A. 163 m/sB. 140 m/sC. 133 m/sD. 196 m/sE. 147 m/sPage 2PHYS 211 - FNL Sample 15. A one-dimensional longitudinal wave traveling along a string is described by the followingequation: s(z,t) = (0.2 m) sin(z + 10t), where all distances are measured in meters and time inseconds. Which of the following statements is incorrect?A. The wavelength of the wave is 2m.B. The frequency of the wave is 10 Hz.C. The amplitude of the wave is 0.2 m.D. The wave has a speed of 10 m/s.E. The wave travels in the -z direction.6. A mass m on a frictionless ramp of angle  is attached to a spring of spring constant k that ismounted to the top of the ramp, as indicated in the figure. The mass is released from rest at thetop of the ramp with the spring in its equilibrium, relaxed position. What is the maximumextension of the spring?A. 2mg sin /kB. 2mg/(k cos )C. 2mg cos /kD. mg sin /kE. mg cos /kPage 3PHYS 211 - FNL Sample 17. Two rods are connected to make the shape shown below. Each rod is uniform but the diagonalrod has twice the mass as the horizontal rod. The horizontal rod has a length L. What is theposition (x,y) of the center of mass of the two rods?A. (L, L/2)B. (L/2, L/2)C. (L, 2L/3)D. (L/2, L/4)E. (L/2, L/3)8. A toy crane lifts a block of wood from the ground with increasing vertical velocity. During thefirst 20 cm of the lift, what can we say about Wgrav (the work done by gravity on the block) andWcrane (the work done by the crane on the block)?A. Wgrav>0,Wcrane<0;Wgrav+Wcrane>0B. Wgrav>0,Wcrane>0;Wgrav+Wcrane>0C. Wgrav>0,Wcrane<0;Wgrav+Wcrane<0D. Wgrav<0,Wcrane>0;Wgrav+Wcrane>0E. Wgrav<0,Wcrane>0;Wgrav+Wcrane<0Page 4PHYS 211 - FNL Sample 1Updated #99. In deep space, far from any gravitational influences, a 4.00 kg space harpoon is launched usinga large slingshot of spring constant 16.0 N/m, by pulling back on the slingshot string through adistance of 1.00 m. The harpoonist is y = 6.00 m away from a bulls-eye painted on a spacestation; the harpoon misses its intended target. If the harpoon hits the space station hull adistance x = 3.00 m of the target as shown below, what is the magnitude of the angularmomentum of the projectile with respect to the target? (Hint: After launch, the angularmomentum of the harpoon is the same no matter what time it is calculated at.)A. 21.5 kg m2/sB. 48.0 kg m2/sC. 24.0 kg m2/sD. 42.9 kg m2/sE. 0 kg m2/sPage 5PHYS 211 - FNL Sample 19. In deep space, far from any gravitational influences, a 4 kg space harpoon is launched using alarge slingshot of spring constant 16 N/m, by pulling back on the slingshot string through adistance of 2.625 m. The harpoon misses its intended target, passing within 2 m of the target. Inunits of kg m2/s, what is the magnitude of the angular momentum of the projectile withrespect to the target?A. 42B. 28C. 72D. 0E. 1610. The first graph below shows the potential energy, U(x) for a particle moving along the x axis.Which of the following five graphs correctly gives the force F(x) exerted on the particle?A. IB. IIC. IIID. IVE. VPage 5original version of #9 (do not use)PHYS 211 - FNL Sample 111. A piston in an engine executes simple harmonic motion. If the extremes of its displacement awayfrom its center point are +/-5.00 cm, find the maximum velocity of the piston when the engine isrunning at 3600 rev/min.A. 9.32 m/sB. 18.8 m/sC. 11.3 m/sD. 7.14 m/sE. 14.2 m/s12. A spring with negligible mass stretches by 21.0 cm when a 135 N object is attached. What isthe weight of a fish that would stretch the spring by 31 cm?A. 145 NB. 279 NC. 199 ND. 91.0 NE. 597 N13. A man, holding a weight in each hand, stands at the center of a horizontal frictionless rotatingturntable. The effect of the weights is to double the rotational inertia of the system. As he isrotating, the man opens his hands and drops the two weights. They fall outside the turntable.Then:A. his angular velocity is halved.B. his angular velocity doubles.C. the direction of his angular momentum vector changes.D. his rotational kinetic energy increases.E. his angular velocity remains about the same.Page 6PHYS 211 - FNL Sample 114. A. B. C. D. E. 15. A 20 kg block on a table is connected by a light massless cord through a frictionless andmassless pulley to a 2 kg mass hanging over the edge of a table as shown. The blocks arereleased from rest, and there are coefficients of kinetic friction of k = 0.09 and of


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