3. The moment of inertia of a solid sphere is 2MR²/5, hollow sphere is 2MR²/3, solid cylinder is MR²/2, and hollow cylinder is MR². All of the same mass M and the same outer radius R. If these four objects are released from rest at the top of an incline and start rolling without sliding. Which one will the last arrive at the bottom?
(A) solid sphere
(B) hollow sphere
(C) solid cylinder
(D) hollow cylinder

3. The moment of inertia of a solid sphere is 2MR²/5, hollow sphere is 2MR²/3, solid cylinder is MR²/2, and hollow cylinder is MR². All of the same mass M and the same outer radius R. If these four objects are released from rest at the top of an incline and start rolling without sliding. Which one will the last arrive at the bottom? (A) solid sphere, (B) hollow sphere, (C) solid cylinder, (D) hollow cylinder.

4. Assume the earth is a prefect sphere with uniform density and the radius is 6400 km. What is the difference of gravitational acceleration at equator and at north pole? (A) 0.017 m/s² (B) 0.034 m/s² (C) 0.17 m/s² (D) 0.34 m/s²

5. The period of T of a simple pendulum of length L is given by T = 2π(L/g)^(1/2). When it is taken to a mountain top it lose 1 min per day. What is the height of the mountain? (A) 3 km (B) 3.55 km (C) 4 km (D) 4.55 km

6. Which function does not represent traveling wave. (A) A*sin²[π(t-x/v)] (B) A*cos(kx-ωt)² (C) A*(x+vt)³ (D) A*sin[(kx)²-(ωt)²]

7. A mass of 1 kg attached to a spring with a spring constant of 100 Nt/m oscillates horizontally on a smooth frictionless table with amplitude of 0.5 m. When the mass is 0.25 m away from equilibrium, determine the total mechanical energy. (A) 3.125 J (B) 9.375 J (C) 12.5 J (D) 15.625 J

8. The Carnot cycle consists of (A) two adiabatic processes and two isochoric processes (B) two isothermal processes and two isobaric processes (C) two isothermal processes and two adiabatic processes (D) two isobaric processes and two isochoric processes

9. Solar radiation supplies approximately 1 kW/m² at the earth's surface. A 3 m x 2 m solar collector is used to heat water. If the required temperature rise is 40°C, what is the necessary flow rate of the water in kg/s? Assume the water absorbs 80% of the radiant energy. (A) 28.6 g/s (B) 35.75 g/s (C) 63.66 g/s (D) 79.58 g/s

10. Find the internal energy of one mole of diatomic ideal gas with rotation and vibration at 300 K. (A) 3.74 KJ (B) 6.24 KJ (C) 8.73 KJ (D) 12.56 KJ

11. A 50-g ice cube at 0°C melts (reversibly) to water at 0°C. What is the change in entropy of the ice and the universe respectively? (A) 61.2 J/K and -61.2 J/K (B) 61.2 J/K, 0 J/K (C) -61.2 J/K, 0 J/K (D) -61.2 J/K, 61.2 J/K

12. An electric hair dryer is rated at 1500 W at 110V. Calculate the maximum instantaneous power. (A) 1500 W (B) 2121 W (C) 3000 W (D) 3500 W

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