40. How much energy is required to move a mass m object from the Earth’s surface to an altitude twice the Earth’s radius R_E?
(A) (-1/2)mgR_E
(B) (1/2)mgR_E
(C) (-2/3)mgR_E
(D) (2/3)mgR_E
(E) (1/4)mgR_E

36. A small block of mass m rests on the sloping side of a triangular block of mass M which itself rests on a horizontal table as shown in the figure below. Assuming all surfaces are frictionless, determine the magnitude of the force F that must be applied to M so that m remains in a fixed position relative to M. Hint: 1. Take x and y axes horizontal and vertical. 2. Focus at the object m. (A) mg sinθ (B) mg tanθ (C) (m+M)g tanθ(D) (m+M)g sinθ(E) None of these

37. The four tires of an automobile are inflated to a gauge pressure of 2.0 × 105 N/m2 (29 psi). Each of the four tires has an area of 0.024 m2 that is in contact with the ground. Determine the weight of the auto. (A) 4.80 × 103N (B) 1.92 × 104N (C) 7.68 × 104N (D) 8.33 × 106N (E) 2.08 × 107N

38. A 2-kg block slides down a frictionless incline from point A to point B. A force (magnitude P = 3 N) acts on the block between A and B, as shown in the figure Points A and B are 2 m apart. If the kinetic energy of the block at A is 10 J, what is the kinetic energy of the block at B? (Gravitational acceleration g = 10 m/s2 ) (A) 17 J (B) 20 J (C) 24 J (D) 27 J (E) 37 J

39. On a bridge, a man (weight = 70 kg) plays bungee jumping by tying himself to one end of an elastic rope. The rope has a length of 100 m, and the height of the bridge is 500 m. After jumping, the man begins to bounce back 10 seconds later. What is the effective weight of the man at the bouncing point? (Gravitational acceleration g = 10 m/s2 ) (A) 83 kg (B) 95 kg (C) 102 kg (D) 117 kg (E) 127 kg

41. A styrofoam container used as a picnic cooler contains a block of ice at 0°C. If 225 g of ice melts in 1 hour, how much heat energy (Joule) per second is passing through the walls of the container? (The heat of fusion of ice is 3.33 × 105 J/kg). (A) 20.8 (B) 124.8 (C) 1800.0 (D) 7492.5 (E) 749250.0

42. How much is the internal energy change of a gas that expands from i to f as indicated in the figure if there is also a frictional heat loss of 10 J? (A) -34.5 J (B) 22.5 J (C) -18.5 J (D) -28.5 J (E) 36.5 J

43. A solid melt at 100°C by absorbing 2450 kJ heat. How much is the entropy change in this melting process? (A) 8.23 kJ/K (B) 4.32 kJ/K (C) 7.43 kJ/K (D) 6.57 kJ/K (E) 5.69 kJ/K

44. What is the efficiency if a Carnot engine transfers 9.5×103 J of energy from a hot reservoir during a cycle and dumps 2×103 J heat to a cold reservoir? (A) 0.69 (B) 0.84 (C) 0.79 (D) 0.65 (E) 0.72

45. Water pressurized to 3.5 × 105 Pa is flowing at 5.0 m/s in a horizontal pipe which contracts to 1/3 its former area. What are the pressure and flow speed of the water after the contraction? (A) 2.5 × 105 Pa, 15 m/s (B) 3.0 × 105 Pa, 10 m/s (C) 3.0 × 105 Pa, 15 m/s (D) 4.5 × 105 Pa, 1.5 m/s (E) 5.5 × 105 Pa, 1.5 m/s

46. A hydraulic jack with two pistons is shown in the figure. The radii are 10 cm and 5 cm, and the weights are 40 kg and 1 kg for the left and right piston, respectively. A ball weighs 9 kg is placed on the right piston. Find the height difference between two pistons in equilibrium status. (Gravitational acceleration g = 10 m/s2 ) (A) 0 cm (B) 10 cm (C) 1 m (D) 10 m (E) 20 m