8. A 10 Hz sine wave on a string propagates along positive-x direction with speed of 20 m/s and amplitude of 2 cm. If the displacement at x = 1 m and t = 0.1 s is -1 cm, what is the string displacement at x = 4 m and t = 0.25 ms?
(A) 1 cm
(B) -1 cm
(C) 0 cm
(D) 1 cm
(E) -2 cm

1. wo balls enter two frictionless tracks at the same time with the same velocity from the left end. Under the influence of gravity, which ball will arrive at the right end first (A) Ball A. (B) Ball B. (C) Two balls will have the same speed. (D) Uncertain; the answer depends on the height of the slides. (E) Uncertain; the answer depends on the curvature of the right slide.

2. Two balls are released from rest and fall along two frictionless slides. Which ball will have higher speed when it arrives at the end of the track? (A) Ball A. (B) Ball B. (C) Two balls will arrive at the right end at the same time. (D) Uncertain; the answer depends on the dip height of the bottom track. (E) Uncertain; the answer depends on the length.

3. A mass M is attached to an ideal spring. When this system is set in motion with amplitude A, it has a period of T. What is the period if the amplitude of the motion is doubled? (A) 0.5T (B) 0.71T (C) T (D) 1.41T (E) 2T

4. A ball with mass m is attached to an ideal spring with force constant k and oscillates on a frictionless slide. What is the oscillation frequency?  (A) (B)(C)(D) (E)

5. A solid sphere, a hollow sphere, a solid cylinder, and a hollow pipe all have equal masses and radii. If the four are released simultaneously at the top of an inclined plane and roll without slipping, which one will reach the bottom first? (A) The solid sphere. (B) The hollow sphere. (C) The solid cylinder. (D) The hollow pipe. (E) All reach the bottom at the same time.

6. A geosynchronous satellite is a satellite with an orbital period the same as the Earth's rotation period. What is the radius of its orbit? (A) 35800 km (B) 71600 km (C) 143000 km (D) 1.43 × 10⁶ km (E) 1.43 × 10⁹ km

7. The intensity level of sound at 10 m away from a point source of sound is 80 dB. What will be the intensity level at 20 m away from this source? (A) 90 dB (B) 77 dB (C) 74 dB (D) 70 dB (E) 60 dB

9. Which gas in the following behaves the most similarly to ideal gas? (A) H₂O (B) Ne (C) CO (D) NO (E) O₂

10. Which gas in the following has the highest average speed at room temperature? (A) Helium (B) Nitrogen (C) Carbon dioxide (D) Ammonia (E) They have the same average speed.

11. A hot spoon is dropped into a tank of cold water and the temperature eventually stabilizes. Which statement is true then? (A) The entropy lost by the spoon is equal to the entropy gained by the water. (B) The entropy gained by the water is equal to the entropy lost by the spoon. (C) The water gains more entropy than the spoon loses. (D) The water gains less entropy than the spoon loses. (E) None of the above.

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