1. If we denote the dimension of length as [L], dimension of time as [T], and dimension of mass as [M], what is the dimension of the universal gravitational constant G?
(A)
(B)
(C)
(D)
(E)

47. Nitrogen fixation (A) is used to manufacture ammonia (B) transforms nitrogen to other nitrogen-containing compounds (C) is used to recover sulfur from underground deposits (D) is used to produce nitric acid (E) none of these

48. Which of the following is the most abundant metal on earth? (A) calcium (B) iron (C) copper (D) aluminum (E) zinc

49. Choose the element that is the strongest reducing agent in the gas phasc. (A) Li (B) Na (C) K (D) Rb (E) Cs

50. Which group contains two elements that exhibit +2 and +4 oxidation states? (A) Group 1A (B) Group 3A (C) Group 4A (D) Group 5.A (E) Group 7A

2. A small ball of mass m is suspended in an elevator by a string of length L. The string does not stretch and its mass can be ignored. If the elevator located at the surface of the Earth and moves upward with an acceleration a, what is the frequency of the ball's oscillatory motion?(A) m(g - a)/(2πL), (B) m(g +a)/(2πL),(C)(D)(E)Here g is the gravitational acceleration on Earth's surface.

3. A block of mass 5 kg moving on a frictionless surface with a speed of 3 m/s collides with another block of mass 7 kg at rest. After the collision the two blocks stick together. What is the speed of the combined object?(A) 1.25 m/s, (B) 1.5 m/s, (C)1 m/s, (D) 0.5 m/s,(E) 2.0 m/s.

4. A satellite is on a circular orbit 3600km above ground. How much speed increase is needed for it to escape from Earth's gravity?(A) 11.2 km/s； (B) 3.3 km/s； (C)6.4 km/s； (D) 2.6 km/s； (E) 1.0 km/s.

5. A space craft is launched from the surface of the Earth with a heliocentric speed of 42 km/s (the speed relative to the Sun). What is its speed when it reaches a distance of 5 AU from the Sun? Note: you have to include the gravitational potential of the Earth as well as the Sun in the calculation.(A) 12 km/s； (B) 15km/s； (C)18 km/s； (D) 21 km/s； (E) 24km/s.

6. A solid spherical marble starts from rest and rolls without slipping on the loop-the-loop track in fgure 1. What is the minimum starting height h from which the marble will remain on the track through the loop. Assume the marbles radius is small compared with R. (A) 2.5R； (B) 2.7R； (C)2.9R； (D) 3.1R； (E) 3.3R. (Note: the moment of inertial for a solid spherical object is, where m is the mass of the object and r is its radius.) Figure 1: Figure for problem 6. Figure 2: Figure for problem 7.

7. What is the moment of inertia related to central axis A of a uniform solid pyramid of mass M and height h, with a square bottom of side L, as shown in figure 2. (A) 0.4MI3/h； (B) 0.2MLh； (C)0.1ML2, (D) 0.1MLh； (E) 0.2ML2.