5. A boy stands on a board placed on a ice (frictionless). The mass of the boy including the board is 20 kg. When he throws a ball with mass of 1 kg to the right at the speed of 10 m/s (Fig. 2), what is the velocity of the boy and board?

(A) 10 m/s to the left
(B) 10 m/s to the right
(C) 0.5 m/s to the left
(D) 0.5 m/s to the right
(E) 0 m/s

1. A block with mass m is vertically attached between two ideal springs with the force constant k and vertically oscillates (Fig. 1). What is the angular frequency? (A) (B)(C) (D) (E)

2. Assume that the moon rotates around the earth with radius of 4 × 10⁸ m. What is the orbital period? The gravitational constant G = 6.67 × 10⁻¹¹ Nm²/kg², and the earth's mass ME = 5.97 × 10²⁴ kg. (A) 2.5 × 10⁴ s (B) 2.5 × 10⁵ s (C) 2.5 × 10⁶ s (D) 2.5 × 10⁷ s (E) 2.5 × 10⁸ s

3. A pendulum placed on the earth's surface has the period of 1 s. What is the period of this pendulum when placed on the moon surface? The radius and mass of the moon are 3/11 and 1/81 of the earth, respectively. (A) 0.1 s (B) 0.4 s (C) 1 s (D) 2.5 s (E) 10 s

4. An apple with mass 0.1 kg falls off from 10 m high to the ground. What is velocity of the apple when it hits the ground (friction is negligible)? The gravitational acceleration on the earth g = 9.8 m/s². (A) 14 m/s (B) 100 m/s (C) 0.1 m/s (D) 1 m/s (E) 10 m/s

6. Two point charges q and −q are fixed at two corners of an equilateral triangle with side of a as shown in Fig. 3. What is the magnitude of electric field at the other corner? (A) (B)(C)(D) (E) 0

7. A conducting sphere of radius a has a charge q. It is enclosed by a conducting shell of radius b with a charge −q as shown in Fig. 4. What is the potential difference V = φ(a) − φ(b)? (A) (B) (C) 0 (D) (E)

8. When there is no current through G in Fig. 5, what is the resistance R₄? (A) (B) (C) (D)(E)

9. A very long wire and a loop are in the same plane and carrying current I₁ and I₂ as shown in Fig. 6. Which is the direction of the force on the loop. (A) Parallel to I₁ (B) Perpendicular to I₁ and repulsive (C) Perpendicular to I₁ and attractive (D) Perpendicular to the plane (E) No force

10. A laser with power of 100 TW (= 100 × 10¹² W) is perfectly reflected by a mirror in the normal incidence frame. What is the force exerted on the mirror? (A) 3.3 × 10⁵ N (B) 6.7 × 10⁵ N (C) 3.3 × 10⁶ N (D) 6.7 × 10⁶ N (E) No force

11. One kilogram of liquid water at 100° C and 1 atm is vaporized to steam at the same temperature. The latent heat of vaporization of water is 2.3 × 10⁶ J/kg. The steam density at 1 atm is 0.6 kg/m³, and 1 atm is 1.0 × 10⁵ N/m². The volume of liquid water is negligible when compared with that of steam. What is the increase of internal energy? (A) 2.1 × 10⁶ J (B) 2.3 × 10⁶ J (C) 2.5 × 10⁶ J (D) 4.0 × 10⁶ J (E) 1.7 × 10⁵ J

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