10. Calculate the average power needed to spin a uniform, solid disk of mass 2.2 kg and radius 0.70 m from rest to 10.0 rad/s in 2.3 s.
(A)9.2W,
(B)11.6 W,
(C) 14.0 W,
(D) 12.0 W,
(E) 16.4 W.

1. When two objects of different masses collide, the impulses they exert on each other are: (A) equal for all collisions. (B) equal but opposite only when the bodies have equal but opposite accelerations. (C) equal but opposite only for elastic collisions. (D) equal but opposite only for inelastic collisions. (E) equal but opposite for all collisions.

2. A force acting on an object moving along the x axis is given by Fx = (16x - 3.0x2) N, where x is in m. How much work is done by this force as the object moves from x = -1 m to x =+2 m? (A) +40J, (B) +12 J,(C)+15J,(D) +42 J,(E)-28 J.

3. A 0. 125 kg harmonic oscillator has a total oscillation energy of 2.0 J. If the oscillation amplitude is 20.0 cm, what is the oscillation frequency? (A) 1.4 Hz, (B) 4.5 Hz, (C) 3.1 Hz, (D) 2.3 Hz, (E) 6.4Hz.

4. Water is flowing at 4.0 m/s in a circular pipe. If the diameter of the pipe decreases to 1/3 its former value, what is the velocity of the water downstream? (A) 1.0 m/s, (B) 2.0 m/s, (C) 8.0 m/s, (D) 16 m/s, (E) 36.0 m/s.

5. In which process will the internal energy of the system change? (A) An adiabatic compression of an ideal gas. (B) An isothermal expansion of an ideal gas. (C) An isobaric compression of an ideal gas. (D) A free expansion of an ideal gas. (E) Statements (a) and (c) are found to be correct.

6. An ideal heat engine can have an efficiency of 100% if the temperature of the low temperature reservoir is (A) 0°F. (B) 0℃. (C) 10 K. (D) 0K. (E) the same as the temperature of the heat source.

7. The reason that we can calculate the change in entropy of a system is that, (A) entropy always increases. (B) entropy always decreases. (C) systems always follow irreversible paths. (D) it depends only on the properties of the initial and final equilibrium states. (E) systems always follow reversible paths.

8. If n moles of an ideal gas are expanded isothermally from an initial volume V1 to a final volume V2, the change in entropy is (A) nRT In (V2/V1), (B) nR In (V2 /V1), (C) nkB In (V2/V1), (D) n Cp ∫dT/T, (E) n Cp/T.

9. A body oscillates with simple harmonic motion along the x axis. Its displacement varies with time according to the equation x = 5.0 sin (πt + π/3). The velocity (in m/s) of the body at t = 2.0 s is (A)+8.0, (B) -8.0, (C) -5.0, (D) -14.0, (E) +14.0.

11. Two long, parallel wires, separate by 10 cm. One carries a current of 5.0 A and another carries a current of 10,0 A in the opposite direction. Which of the following statements is true?(A) In region 1, the magnetic field is into the page and is never zero. (B) In region 2, the field is into the page and is never zero. (C) In region 3, the magnetic field is into the page and is never zero. (D) In region 3, the magnetic field is out of the page and can be zero. (E) There are no points where the field is zero.

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