6. In the figure, we have placed a rock on a vertical spring, pressed downward on the spring to compress it, and then released the spring so that the rock flies vertically upward. At one instant, the rock is 2.50 m above its launch point (the release point) and has a speed of 5.00 m/s. The mass of the rock is 3.00 kg and the spring constant is 4000 N/m. How far (m) was the spring compressed just before the launch?

(A) 0.236
(B) 0.039
(C) 0.456
(D) 0.578
(E) 0.102

1. The figure shows an overhead view of two straight segments of the run by a mouse: d₁ = 14.0 m, d2 = 9.00 m, 0 = 60.0°. The figure is not drawn to scale. What is the angle (deg) of that displacement vector (relative to the +x direction). [Note: The figure is not to scale.] (A) 10.7 (B) 4.53 (C) 7.67 (D) 9.16 (E) 1.94

2. In projectile motion (such as with a thrown baseball), which is true about velocity and acceleration ? (A)  is always tangent to the path and is always downward. (B) is always perpendicular to the path and is always horizontal. (C) is always perpendicular to the path and is always downward. (D) is always tangent to the path and is always horizontal. (E) is always downward and is always tangent to the path.

3. The figure shows a block on a frictionless ramp; a cord attached to the block can pull on the block with a force parallel to the ramp. Here are three situations: 1. The block moves up the ramp with speed increasing at the rate of 2 m/s².  2. The block moves down the ramp with speed decreasing at the rate of 2 m/s². 3. The block moves down the ramp with speed increasing at the rate of 2 m/s². Rank the three situations according to the tension in the cord, greatest first. () indicates a tie. (A) 1, 2, 3 (B) 2, 1, 3 (C) (1,2), 3 (D) 1, (2,3) (E) (2,3), 1

4. The figure shows a 2.00 kg block on a floor. We apply a 10.0 N force Fat an upward angle of = 30.0°. What is the magnitude (N) of the frictional force on the block? (You need to determine if the block is sliding or not.) The coefficient of static friction is 0.800 and the coefficient of kinetic friction is 0.200. (A) 6.93 (B) 12.5 (C) 10.0 (D) 8.66 (E) 2.01

5. The figure shows three graphs of a force that acts on a block as the block slides across a frictionless floor over the indicated distance. Rank the three graphs according to the work done on the block by the force, most positive first, most negative last. () indicates a tie. (A) 2, 3, 1 (B) (1,2), 3 (C) 2, (1,3) (D) 3, 2, 1 (E) 1, 3, 2

7. In the figure, block 1 with mass m₁ starts from rest at height h = 2.00 m on a frictionless ramp and then slides down and has an elastic collision with block 2 with mass m2. The masses are related by m₁ = 2.00 m2. What is the speed (m/s) of block 2 just after the collision? (A) 0.45 (B)8.35(C)11.2 (D) 2.34 (E) 4.01

8. The figure is an overhead view of a disk (mass M = 5.00 kg and radius R = 4.00 m) rotating like a merry-go-round. A particle (mass m = 3.00 kg) lies on the disk at radius r = 2.00 m. The angular speed is 6.00 rad/s. What is the kinetic energy (J) of the disk-particle system? (A) 648 (B) 1660 (C) 2180 (D) 936 (E) 279

9. The figure shows an overhead view of a narrow meter stick (length = 1 m) that rotates about its center at an initial angular speed of 2.00 rad/s. A cockroach rides at one end. The cockroach then crawls to the center of the stick. What is the new angular speed (rad/s)? Stick mass = 2.00 (cockroach mass). For a thin rod rotating around its center, I = (1/12) mL² (A) 3.68 (B) 10.6 (C) 6.62 (D) 7.80 (E) 5.00

10. In the figure, a uniform beam with a length of 3.00 m is hinged at its lower end, and a horizontal force of magnitude 45.0 N acts at its upper end. The beam is held vertical by a cable that makes an angle 0 = 20.0° with the ground and is attached to the beam at height h = 1.50 m. What is the tension (N) in the cable? (A) 117 (B) 131 (C) 77.8 (D) 95.8 (E) 67.7

11. We start with 2.00 kg sample of ice at T = -25.0 °C. How much energy (J) is required to bring the sample to a temperature of T = 35.0 °C T = 35.0°C? Specific heat of ice = 2.22 × 10³ J/kg·K, specific heat of liquid water = 4.18 × 103 J/kg·K, heat of fusion = 3.33 × 105 J/K. (A) 8.53 × 105 (B) 1.22 × 107 (C) 1.07 × 106 (D) 8.62 × 107 (E) 3.82 × 108

114年 - [無官方正解]114 臺灣綜合大學系統_學士班轉學生聯合招生考試試題：普通物理Ａ#129365

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