7. n moles of gas in a container of volume at temperature T expands rapidly into an evacuated
region after a membrane is broken. The final volume of the gas-occupied space is . What is the
change in thermal energy? (The universal gas constant is R.)
(A)
(B)
(C)
(D)
(E)

3. Consider a very small hole in the bottom of a tank 20 cm in diameter filled with water to a heightof 50 cm. Find the speed at which the water exits the tank through the hole.(A) 3.1 m/s (B) 9.8 m/s (C) 31.3 m/s (D) 34.9 m/s (E) 980 m/s

4. A small object of mass m is suspended from a string of length L . Thegravitational acceleration is g. The object revolves in a horizontal circle ofradius r with constant speed. Find the period T of revolution.(A) (B) (C)(D) (E)

5. A carnival merry-go-round rotates about a vertical axis at a constant rate. A man standing on theedge has a constant speed of 3.7 m/s and a centripetal acceleration of magnitude 1.8 m/s2.Position vector locates him relative to the rotation axis. What is the magnitude of ?(A) 3.5 m (B) 5.6 m (C) 6.4 m (D) 7.6 m (E) 12.4 m

6. A 2 kg object is subjected to three forces that give it an acceleration = (−8 m  ⁄s2 )+(6 m/s2) . ff two of the three forces are and ,find the third force.(A) (B) (C)(D) (E)

8. A medical defibrillator stores 320 J in a 40.0 F capacitor. What is the voltage across the capacitor?(A) 2.8 V (B) 4.0 V (C) 2.8 kV (D) 4.0 kV (E) 2.8 MV

9. The figure shows three electric charges labeled Q1, Q2, Q3, and someelectric field lines in the region surrounding the charges. What are thesigns of the three charges?(A) Q1 is negative, Q2 is positive, Q3 is negative.(B) Q1 is positive, Q2 is positive, Q3 is negative.(C) Q1 is positive, Q2 is negative, Q3 is positive.(D) Q1 is positive, Q2 is negative, Q3 is negative.(E) Q1 is negative, Q2 is negative, Q3 is negative.

10. A particle experiences a force given by F(x) = α - βx3. Find the potential energy U(x) of the particle.(Assume that the zero of potential energy is located at x = 0.)(A) (B) (C) U(x) = 3βx2(D) U(x) = -3βx2 (E) U(x) = -6βx

11. A DC voltage of 110 V is applied to a heater whose resistance is 15 Ohms when it is hot. At whatrate is electrical energy transferred to thermal energy _____.(A) 807 W (B) 1650 W (C) 8150 W (D) 12375 W (E) 24750 W

12. A wave has an angular frequency of 110 rad/s and a wavelength of 1.8 m. Calculate the angularwave number.(A) (B) (C) (D) (E)

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