11) A soccer ball is kicked off the ground at an angle 45° above the horizontal with an initial speed of20. m/s. What is the total time of flight of the ball before it hits the ground?

A) 9.8 s B) 4.9 s C) 6.1 s D) 1.5 s E) 2.9 s

12) A long-distance swimmer is able to swim through still water at 4.0 km/h. She wishes to try toswim from Port Angeles, Washington, directly north to Victoria, British Columbia, a distance of50 km. An ocean current flows through the Strait of Juan de Fuca from west to east at 3.0 km/h.In what direction (relative to north) should she swim to make the crossing along a straight linebetween the two cities?

A) 41° west of northB) 41° east of northC) 49° west of northD) 37° west of northE) 37° east of north

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8) A turbine blade rotates with angular velocity ωz(t) = 2.00 rad/s - (2.10 rad/s3) t2. What is the

angular acceleration, z of the blade at time t = 9.10 s?

A) -172 rad/s2 B) -86.0 rad/s2 C) -36.2 rad/s2 D) -19.1 rad/s2 E) -38.2 rad/s2

9) A tire is rolling along a road, without slipping, with a center-of-mass speed vcm. A piece of tape isattached to the outer edge of the tire. When the tape is at the top of the tire, its linear speed withrespect to the road isA) 1.5vcm.B) vcm.C) 2vcm.D) zero.E) The speed depends on the radius of the tire.

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12) A 5.0-m radius playground merry-go-round with a moment of inertia of 2000 kg • m2 is rotatingfreely with an angular speed of 1.0 rad/s. Two people, each having a mass of 60 kg, are standingright outside the edge of the merry-go-round and step on it with negligible speed. What is theangular speed of the merry-go-round right after the two people have stepped on?A) 0.40 rad/s B) 0.67 rad/s C) 0.20 rad/s D) 0.60 rad/s E) 0.80 rad/s

13) Consider three drinking glasses. All three have the same area base, and all three are filled to thesame depth with water. Glass A is cylindrical. Glass B is wider at the top than at the bottom, andso holds more water than A. Glass C is narrower at the top than at the bottom, and so holds lesswater than A. Which glass has the greatest liquid pressure at the bottom?A) Glass AB) Glass BC) Glass CD) All three have equal non-zero pressure at the bottom.E) All three have zero pressure at the bottom.

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14) A barge is 15.0 m wide and 75.0 m long and has vertical sides. The horizontal flat bottom of thehull is 1.20 m below the water surface. What is the weight of the barge and its cargo, if it isfloating in fresh water of density 1000 kg/m3?A) 13.2 MN B) 11.3 MN C) 1.13 MN D) 1.35 MN E) 22.6 MN

15) If the mass of the Earth was suddenly doubled, but the size remained the same, the accelerationdue to gravity at the surface would becomeA) 4 times what it was.B) the same as it was.C) 1/4 of what it was.D) 2 times what it was.E) 1/2 of what it was.

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24) A transverse wave traveling along a string transports energy at a rate r. If we want to double thisrate, we couldA) increase the amplitude of the wave by a factor of 4.B) increase the amplitude of the wave by a factor of 8.C) increase the amplitude of the wave by a factor of 2.D) increase the amplitude of the wave by a factor of 8.E) increase the amplitude of the wave by a factor of 2.

25) A 6.00-m long rope is under a tension of 600 N. Waves travel along this rope at 40.0 m/s. What isthe mass of the rope?A) 2.25 kg B) 1.12 kg C) 1.25 kg D) 1.00 kg E) 2.50 kg

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26) A 2.0-m string is fixed at both ends and tightened until the wave speed is 78 m/s. What is thefrequency of the standing wave shown in the figure?

A) 470 Hz B) 120 Hz C) 230 Hz D) 350 Hz E) 275 Hz

27) An organ pipe in air is open at both ends and has two successive harmonics with frequencies of210 Hz and 240 Hz. What is the length of the pipe? The speed of sound is 344 m/s in air.A) 4.9 m B) 2.8 m C) 3.6 m D) 5.7 m E) 5.3 m

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5) As you are leaving a building, the door opens outward. If the hinges on the door are on your right,what is the direction of the angular velocity of the door as you open it?A) downB) to your leftC) upD) to your rightE) forwards

6) When a rigid body rotates about a fixed axis, all the points in the body have the sameA) linear displacement.B) tangential speed.C) angular acceleration.D) tangential acceleration.E) centripetal acceleration.

7) A uniform solid sphere of mass M and radius R rotates with an angular speed ω about an axisthrough its center. A uniform solid cylinder of mass M, radius R, and length 2R rotates through anaxis running through the central axis of the cylinder. What must be the angular speed of thecylinder so it will have the same rotational kinetic energy as the sphere?A) ω/ 5 B) 2/5 ω C) 4ω/5 D) 2ω/ 5 E) 2ω/5

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65. A block of mass 200 g is attached to a massless spring of force constant 3.2 N/m and set to oscillate on a horizontal, frictionless surface. The amplitude of the oscillation is 20 cm. What is the acceleration of the block, in m/s2, when the mass has a displacement of +15 cm from the equilibrium position? A) 2.4 B) 1.6 C) -1.6 D) -2.4 E) -3.2 66. The displacement of a transverse wave in a rope is described by

y(x, t) = (1.5 cm) sin[(6.0 m!1)x + (3.0 s!1)t] What is the wave velocity in the x direction, in m/s? A) −0.50 B) −1.6 C) +0.50 D) +1.6 E) +2.0 67. For sound waves, the intensity level β = 40 dB (decibels) is how many times as intense as the intensity level β = 20 dB?

A) 2 B) 20 C) 100 D) 400 E) 104

71. Two separate containers filled with ideal diatomic gases are in thermal equilibrium with each other. One contains hydrogen gas and the other contains oxygen gas. Let v and K be the root-mean-square speed and the average kinetic energy of a molecule in the gas. Which of the following is true?

A) vH2 > vO2 and KH2

= KO2

B) vH2 < vO2 and KH2= KO2

C) vH2 < vO2 and KH2< KO2

D) vH2 > vO2 and KH2> KO2

E) vH2 = vO2 and KH2= KO2

72. One end of an insulated metal rod is maintained at 100 0C, and the other end is maintained at 0.00 0C by an ice-water mixture. The rod is 1.00 m long and has a cross-sectional area of 1.23 cm2. The heat conducted by the rod melts 8.50 g of ice in 10.0 min. (The insulated rod does not lose heat to the surroundings.) Find the thermal conductivity k of the metal, in W/m-K. A) 50.2 B) 109 C) 205 D) 385 E) 406 73. An ideal gas initially has 1.0 moles at 450 K. Later it has 1.2 moles at 300 K. Which of the following might describe what happened to the pressure and volume of the gas? A) Both the pressure and the volume went down by 10% B) The pressure went down by 50% and the volume went up by 60% C) The pressure went up by 20% and the volume went down by 40% D) All of the above E) None of the above

74. A chamber of volume 0.50 m3 contains diatomic nitrogen (N2) gas at a pressure of 1.0x105 Pa. The gas is allowed to expand isothermally to twice the initial volume. How much heat flows into the gas, in kJ? A) 0 B) 15 C) 35 D) 56 E) 71 75. 4.0 mol of a diatomic ideal gas goes through a thermodynamic cycle in which it absorbs 1400 J in net heat and does 2300 J of net work. What is the change in temperature of the gas, in K?

A) 45 B) -11 C) 28 D) -18 E) 18

76. A Carnot refrigerator does 240 J of work in keeping its interior at -10 °C by removing 2100 J of heat from the refrigerator and releasing it into the room. What is the temperature of the room, in °C?

A) -11 B) 0 C) 11 D) 20 E) 24 77. A glass of hot water (W) at temperature 80 °C is placed in a cold room (R) at temperature 20 °C. after some time the water has cooled to the temperature of the room. Which of the following statements represents the entropy changes:

A) ΔS(W) > 0 ; ΔS(R) < 0; ΔS(total) > 0

B) ΔS(W) < 0 ; ΔS(R) > 0; ΔS(total) > 0

C) ΔS(W) < 0 ; ΔS(R) > 0; ΔS(total) = 0

D) ΔS(W) > 0 ; ΔS(R) < 0; ΔS(total) = 0

E) ΔS(W) < 0 ; ΔS(R) > 0; ΔS(total) < 0  

   

79. A cart moves on a straight track as shown in the figure below. The position of the cart is tracked with a motion detector that measures how far an object is from the detector with ultrasonic pulses that bounce off a reflective plate attached to the cart.

The system collects position data every 0.1 s. The computer software uses the data to calculate numerical derivatives, so we are provided with data for position, velocity and acceleration every 0.1 s. The graph below shows the velocity versus time data for a certain data run.  

                     Which of the following best describes the motion of the cart in this data run?

A. The cart is moving away from the motion detector and speeding up. B. The cart is moving away from the motion detector and slowing down. C. The cart is moving toward the motion detector and speeding up. D. The cart is moving toward the motion detector and slowing down. E. The cart is moving toward the motion detector at constant speed.

   

     

Motion  detector  

To  computer  

Reflective  plate  

Cart  

Track  

Table  

Force  probe  

Motion  detector  

Plate  

Spring  

80. In one of the labs, we studied the oscillations of a plate at the end of a vertical spring. As shown in the figure to the right, the spring was hung from a force probe, and the position of the plate was recorded by an ultrasonic motion detector placed on the floor, directly underneath the oscillating plate.

A plot of the force versus the position of the plate yields the following graph:  

   

                           

   

Use the graph to determine the spring constant of the spring, in N/m. A. 0.3 B. 0.8 C. 1 D. 3 E. 8