19. In the figure, ?1, ?2, and ?3 are charges on a two-dimensional plane. We take . If the force on q1 points in the −x-direction, what is the magnitude of ?3?

(A) Q
(B)
(C)
(D)
(E)

20. A force F = (3x² + 2x) N (where x is in meters) acts on an object along the x-axis. As the object moves from x = 0 to x = 2 m, how much work is done by this force on the object? (A) 10 J (B) 12 J (C) 14 J (D) 16 J

21. A U-shaped tube contains mercury (density 13.6 g/cm3 ). If a 13.6 cm column of water is poured into the left arm, what is the difference in height between the mercury levels in the two arms? (Assume the system reaches equilibrium) (A) The mercury level in the left arm is 12.6 cm higher. (B) The mercury level in the right arm is 1 cm higher. (C) The mercury level in the left arm is 1 cm higher. (D) The mercury levels in both arms are at the same height.

22. The potential difference across a cell membrane is 64 mV. On the outside are 4.0 × 106 singly ionized potassium atoms. Assuming an equal negative charge on the inside, what is the membrane’s capacitance? Note that one elementary charge is about 1.6 × 10−19 C. (A) 1 nF (B) 10 nF (C)100 nF (D) 1 pF (E) 10 pF.

23. Blood flows through a blood vessel. If the radius of the vessel is reduced to half of its original size due to atherosclerosis, and assuming the pressure difference remains constant and the flow is laminar, according to Poiseuille's Law, the blood flow rate will become how many times the original rate? (A) 1/2 (B) 1/4 (C) 1/8 (D) 1/16

24. The figure shows a cube of side ? in a uniform electric field. What’s the flux through the cube face C with the cube rotated 45°?(A)(B)(C)(D) (E)

25. Ion channels are narrow pores that allow ions to pass through cell membranes. A particular channel has a circular across section 0.15 nm in radius; it opens for 1 ms and passes 1.0 × 104 singly ionized potassium ions. What is the current density in the channel? Note that one elementary charge is about 1.6 × 10−19 C. (A) 5.0 × 106 A/m2 (B) 2.5 × 107 A/m2 (C) 5.0 × 107 A/m2 (D) 7.5 × 107 A/m2 (E) 1.0 × 108 A/m2

26. Because the magnetic force depends on velocity but the electric force doesn’t, it’s possible to use perpendicular electric and magnetic fields to select charged particles with a particular velocity. A such velocity selector uses a 20-mT magnetic field perpendicular to a 2-kN/C electric field. At what speed will charged particles pass through the selector undeflected? (A) 20 km/s (B) 40 km/s (C) 80 km/s (D) 100 km/s (E) 200 km/s

27. The design of an airplane wing causes the speed of the airflow above the wing to be greater than that below it. If both the upper and lower surface areas of the wing are A, the air density is ρ, the flow speed above is v₁, and the flow speed below is v₂ (v₁ ＞ v₂), what is the approximate magnitude of the lift force experienced by the wing? (A) (1/2)ρA(v₁ - v₂)² (B) (1/2)ρA(v₁² - v₂²) (C) ρA(v₁ - v₂) (D) ρA(v₁² - v₂²)

28. An air bubble rises from the bottom of a lake to the surface. Assuming the lake water temperature is uniform and treating the air inside the bubble as an ideal gas, the volume of the bubble at the surface becomes 3 times its volume at the bottom. Given that atmospheric pressure is equivalent to the pressure of a 10-meter column of water, what is the approximate depth of the lake in meters? (A) 10 m (B) 20 m (C) 30 m (D) 40 m

29. Coronal streamers in the Sun’s atmosphere contain magnetic fields in the opposite directions. The figure shows a model calculation of the magnetic field in a single streamer. The long dimension of the rectangular loop in the figure is400 Mm, and the magnetic field strength near the loop has a constant magnitude of 2 mT. What is the total current encircled by the rectangle? Note that the magnetic constant ?0 is 1.26 × 10−6 N/A2 .(A) 0 A (B) 103 A (C) 106 A (D) 109 A (E) 1012 A

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