4. A ball rolls down and leaves a slope at an angle of 30°above the horizontal direction. The ball hits the ground 10 seconds later at a point 20 meters below the leaving point, as shown below. How far does the ball travel horizontally when it hits the ground (from point B to point C)? (Gravitational acceleration g = 10 m/s² )

(A) 623
(B) 835
(C) 936
(D) 1019
(E) 2021

50. 下列何者不是經由學習而得的行為？ (A) 印痕 (B) 空間認知 (C) 社會認知 (D) 生物時鐘

1. If the diameter of the hydrogen atom is scaling up to the 400 m track playground, what would the size of its nucleus be? Hint: Radius of hydrogen is 0.053 nano meter. Radius of its nucleus is 0.85 femto meter. (A) a few-mm sand grain (B) a ping-pong ball (C) a base ball (D) a bowling ball (E) a basketball

2. Since 2019, the magnitudes of all SI units have been defined by declaring exact numerical values for defining constants when expressed in terms of their SI units. Which one of the following constants is not included? (A) the speed of light in vacuum, c (B) the Planck constant, h (C) the Coulomb constant, ke (or 1/4πε0 ) (D) the Boltzmann constant, k (or kB) (E) the Avogadro constant, NA

3. The graph below shows the angular acceleration α of a bicycle tire. During the four-second time interval for which this graph is drawn, we can conclude that ______.  (A) the angular velocity of the wheel did not change (B) the angular momentum of the wheel about an axis through its center did not change (C) the angular velocity of the wheel increased by 8 rad/s (D) the angular velocity of the wheel increased by 12 rad/s (E) the angular velocity of the wheel increased by 16 rad/s

5. Newton’s coefficient of restitution is defined by For a completely inelastic collision in a head-on collision of two objects, what would the value of e would be? (A) 0 (B) 1/2 (C) 1 (D) 2 (E) Information not enough to determine it.

6. The ballistic pendulum has mass 10 kg. A bullet of 300 g moves at the speed of v0 right before hitting the pendulum. How much is the height h that the pendulum can swing upward and rest momentarily? (Gravitational acceleration g = 10 m/s2 ) (A) 6.7× v0 2 (B) 4.2× v0 2 (C) 3.3× v0 2 (D) 2.3×v0 2 (E) 5.7×v0 2

7. Compared to the graph below, which graph in choices shows that the amplitude and the frequency are doubled? (A) a (B) b (C) c (D) d (E) e

8. A tube with three openings has three different cross-sectional areas (A1:A2:A3 = 2:1:3), as shown in the figure. The pressure difference is 25 Pa between A1 and A2. If v1 = 0.125 (m/s), find the density of the fluid (kg/m3 ). (A) 561 (B) 982 (C) 1067 (D) 1534 (E) 1698

9. Which of the following answers is a correct description of the corresponding process as indicated in the figure? (A) Isobaric (B) Adiabatic (C) Isovolumetric (D) Isothermal (E) None of the above is correct.

10. Two waves traveling in opposite directions interfere to produce a standing wave described by y = 3 sin(2x) cos (5t) where x is in m and t is in s. What is the wavelength of the interfering waves? (A) 3.14 m (B) 1.00 m (C) 2.00 m (D) 6.28 m (E) 12.00 m