40. If two springs with spring constants k and 3k respectively are connected in series and attached to an object with mass m, what is the oscillation frequency of the springs?
(A)
(B)
(C)
(D)
(E)

36. A frictionless curve of radius 500 m is banked with a banking angle θ = 30°. A ball of mass m = 10 kg and radius r = 50 cm is moving on it. What angular velocity is needed for the ball moving on the curve without need of frictional force? (Gravitational acceleration g = 10 m/s2 ) (tan 30° = 0.577) (A) 53.7 rad/s (B) 107.4 rad/s (C) 214.8 rad/s (D) 332.2 rad/s (E) 429.6 rad/s

37. A thin rod of length 100 cm and mass 6 kg with the rotation axis through its center. The rod rotates and accelerates to an angular velocity of 100 rad/s uniformly from rest over a 10 seconds interval. Find the torque to the rod (kg·m2 /s2 )? (A) 5 (B) 10 (C) 15 (D) 20 (E) 25

38. A gun fired vertically and hits a wooden block and stops inside. The bullet and block have a mass of 0.1 and 0.5 kg, respectively. The velocity of bullet is 100 m/s. How high will the wooden block be raised? (Gravitational acceleration g = 10 m/s2 ) (A) 8 m (B) 10 m (C) 12 m (D) 14 m (E) 16 m

39. One particle of mass M = 0.5 × 10-9 kg and velocity V = 4 × 105 m/s directly hits the other particle of mass m = 0.1 × 10-9 kg and velocity v = 0 m/s. Find the maximum energy transfer from one particle to the other? (A) 15 J (B) 22 J (C) 29 J (D) 36 J (E) 43 J

41. An electronics technician wishes to construct a parallel plate capacitor using rutile (κ = 100) as the dielectric. The area of the plates is 1.0 cm2 . What is the capacitance if the rutile thickness is 1.0 mm? (permeability constant μ0 = 8.85×10-12 C2 /N·m2 ) (A) 88.5 pF (B) 177 pF (C) 8.85 μF (D) 35.4 μF (E) 100 μF

42. Two conducting wires A and B of the same length and radius are connected across the same potential difference. Conductor A has twice the resistivity of conductor B. What is the ratio of the power delivered to A to the power delivered to B? (A) 2 (B) (C) 1 (D) (E)

43. A heart surgeon monitors the flow rate of blood through an artery using an electromagnetic flowmeter as shown in the figure. Electrodes A and B make contact with the outer surface of the blood vessel, which has a diameter of 3.0 mm. For a magnetic field magnitude of 0.04 T, an emf of 160 μV appears between the electrodes. Calculate the speed of the blood.(A) 1.33 m/s (B) 2.33 m/s (C) 3.66 m/s (D) 4.66 m/s (E) 6.66 m/s

44. A rectangular coil with 1000 turns has a length and width of 10 cm and 20 cm respectively and carries a counterclockwise current of 10 A. When the magnetic dipole moment makes an angle of 60° with a magnetic field of 0.5 T, what is its potential energy? (A) -50 J (B) -87 J (C) -100 J (D) 50 J (E) 100 J

45. A rectangular conductor coil has width L = 10 cm, resistance R = 0.3 Ω, and mass m = 100 g. Ignoring the air drag, when the coil falls in a uniform magnetic field B = 10 T, the final terminal velocity value of the coil is: (Gravitational acceleration g = 10 m/s2 )(A) 0.3 m/s (B) 0.5 m/s (C) 0.7 m/s (D) 3.0 m/s (E) 5.0 m/s

46. A 5 µF capacitor is linked to an electromotive force experiencing uniform increment at a rate of 100 V/s over time. The displacement current between the plates is: (A) 0 (B) 5 A (C) 5×10-2 A (D) 5×10-4 A (E) 5×10-6 A