6. A wheel (radius = 0.25 m) is mounted on a frictionless, horizontal axis. The moment of inertia of the wheel about the axis is 0.040 kg·m². A light cord wrapped around the wheel supports a 0.50-kg object as shown in the figure. The object is released from rest. What is the magnitude of the acceleration of the 0.50-kg object?

(A) 3.0 m/s²
(B) 2.4 m/s²
(C) 4.3 m/s²
(D) 5.8 m/s²
(E) 1.7 m/s²

1. The surface of the inclined plane shown is frictionless. If F = 30 N, what is the magnitude of the force exerted on the 3.0-kg block by the 2.0-kg block?  (A) 18 N (B) 27 N (C) 34 N (D) 51 N (E) 45 N

2. An object attached to the end of a string swings in a vertical circle (R = 1.2 m), as shown. At an instant when θ = 30°, the speed of the object is 5.1 m/s and the tension in the string has a magnitude of 20 N. What is the mass of the object? (A) 2.8 kg (B) 3.5 kg (C) 4.8 kg (D) 1.2 kg (E) 0.4 kg

3. The coefficient of static friction for the tires of a race car is 0.950 and the coefficient of kinetic friction is 0.800. The car is on a level, circular track of 50.0-m radius on a planet where g = 2.45 m/s² compared to Earth's g = 9.80 m/s². The maximum safe speed on the track on the planet is ____ times as large as the maximum safe speed on Earth. (A) 0.150 (B) 0.500 (C) 1.00 (D) 2.00 (E) 4.00

4. A 10-kg block on a horizontal, frictionless surface is attached to a light spring (force constant = 1.2 kN/m). The block is initially at rest at its equilibrium position when a force (magnitude P) acting parallel to the surface is applied to the block, as shown. When the block is 8.0 cm from the equilibrium position, it has a speed of 0.80 m/s. How much work is done on the block by the force P as the block moves the 8.0 cm? (A) 8.3 J (B) 6.2 J (C) 7.0 J (D) 9.7 J (E) 3.6 J

5. The block shown is released from rest when the spring is stretched a distance d. If k = 50 N/m, m = 0.50 kg, d = 10 cm, and the coefficient of kinetic friction between the block and the horizontal surface is equal to 0.25, determine the speed of the block when it first passes through the position for which the spring is unstretched. (A) 92 cm/s (B) 61 cm/s (C) 50 cm/s (D) 82 cm/s (E) 71 cm/s

7. Angie says that an object is in equilibrium if the net torques about the center of mass is zero. Robbie says an object is in equilibrium if the sum of external forces is zero. Which one, if either, is correct? (A) Both are correct: an object is in equilibrium if either condition holds. (B) Neither is correct: both conditions must hold simultaneously. (C) Neither is correct: the net external force and the net external torque about any axis must be zero. (D) Neither is correct: an object is in equilibrium only if its velocity is zero in all coordinate systems. (E) Both are correct: if the sum of the external forces is zero, the net torque about any axis is automatically zero, and vice versa.

8. A boat is floating in a small pond. The boat then sinks so that it is completely submerged. What happens to the level of the pond? (A) It increases. (B) It decreases. (C) It stays the same. (D) In some cases, it would decrease, in others it would stay the same. (E) In some cases, it would increase, in others it would stay the same.

9. To decrease the intensity of the sound you are hearing from your speaker system by a factor of 36, you can (A) reduce the amplitude by a factor of 12 and increase your distance from the speaker by a factor of 3. (B) reduce the amplitude by a factor of 4 and increase your distance from the speaker by a factor of 3. (C) reduce the amplitude by a factor of 2 and increase your distance from the speaker by a factor of 3. (D) reduce the amplitude by a factor of 3 and increase your distance from the speaker by a factor of 4. (E) reduce the amplitude by a factor of 3 and increase your distance from the speaker by a factor of 12.

10. A team of people who traveled to the North Pole by dogsled lived on butter because they needed to consume 6000 dietician's Calories each day. Because the ice there is lumpy and irregular, they had to help the dogs by pushing and lifting the load. Assume they had a 16-hour working day and that each person could lift a 500-N load. How many times would a person have to lift this weight 1.00 m upwards in a constant gravitational field, where g = 9.80 m/s², to do the work equivalent to 6000 Calories? (A) 50.2 (B) 492 (C) 5130 (D) 50200 (E) 492000

11. Assume 3.0 moles of a diatomic gas has an internal kinetic energy of 10 kJ. Determine the temperature of the gas after it has reached equilibrium. (A) 320 K (B) 160 K (C) 800 K (D) 1550 K (E) 400 K

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