3. A particle moves along a vertical circular track of radius R. The circular track is smooth and has zero friction. The only forces acting on the particle are gravity and the normal force from the track. During its motion, the particle's maximum speed is 6/5 times its minimum speed. What is the minimum speed of the particle? (Gravitational acceleration g)
(A)
(B)
(C)
(D)
(E)

4. Mary throws a ball with 0.80 kg mass against a brick wall. The ball is moving horizontally to the left at 30 m/s when it hits the wall; it rebounds horizontally to the right at 20 m/s. The ball is in contact with the wall for 0.010 s. Find the impulse of the net external force on the ball during its collision with the wall. (A) 40 N·m (B) 40 N·s (C) 8 N·m (D) 8 N·s (E) 800 J

5. Find the equivalent capacitance between a and b.(A) 0.83 μF (B) 1.2 μF (C) 2.4 μF (D) 6.0 μF (E) 12.0 μF

6. Incompressible oil with density ρ is pumped through a cylindrical pipe at a constant mass flow rate. The first section of the pipe has a diameter d₁ and flow speed v₁. The diameter of the second section of the pipe is twice that of the first section. What is the flow speed in the second section? (A) v₁ (B) v₁ (C) v₁ (D) 2v₁ (E) 4v₁

7. Because the ear is sensitive over a broad range of intensities, a logarithmic measure of intensity called sound intensity level is often used. The chosen reference intensity I₀ is approximately the threshold of human hearing at 1000 Hz. If the intensity of a sound wave equals 10 I₀, what is the sound intensity level in dB? (A) -3 (B) 1 (C) 3 (D) 10 (E) 20

8. If a simple pendulum oscillates with small amplitude and its length is doubled, what happens to the frequency of its motion? (A) It doubles. (B) It becomes times as large. (C) It becomes half as large. (D) It becomes 1/times as large. (E) It remains the same.

9. Two long straight wires are mounted parallel to each other, with one wire directly above the other. Each wire has a weight per unit length of w = 2.0 × 10⁻⁵ N/m. The separation between the wires is d = 0.080 m. The wires carry currents that are equal in magnitude but opposite in direction. Find the current I in each wire. (Given: permeability constant μ₀ = 4π × 10⁻⁷ T·m/A) (A) 1.8 A (B) 2.4 A (C) 2.8 A (D) 3.2 A (E) 3.6 A

10. An electric dipole with a dipole moment magnitude of p = 5.0 × 10⁻⁶ C·m is placed in a uniform electric field of magnitude E = 2.0 × 10⁵ N/C. The initial angle between the dipole moment and the electric fieldis 60°. How much work must an external agent do to turn the dipole 180° from its initial position? (A) 0.5 J (B) 1.0 J (C) 1.5 J (D) 2.0 J (E) 0 J

11. Large aperture telescopes are used primarily to ______. (A) collect more light (B) reduce chromatic aberration (C) increase magnification (D) reduce diffraction limit (E) decrease focal length

12. An electromagnetic wave with a peak magnetic field magnitude of 1.5 × 10⁻⁷ T has an associated peak electric field of what magnitude? (A) 0.5 × 10⁻¹⁵ N/C (B) 2 × 10⁻⁵ N/C (C) 2.2 × 10⁴ N/C (D) 22 N/C (E) 45 N/C

13. If Josh's face is 30.0 cm in front of a concave shaving mirror creating an upright image 1.50 times as large as the object, what is the mirror's focal length? (A) 12.0 cm (B) 20.0 cm (C) 70.0 cm (D) 90.0 cm (E) none of the above

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