Investigation of Cart Speed over Time - Quiz Questions
Test your understanding of ticker timer experiments and data analysis.
1. The power supply used by the ticker timer has a frequency of $50Hz$. What is the period of its dots (the time interval between two adjacent dots)?
- A. $0.01s$
- B. $0.02s$
- C. $0.05s$
- D. $0.1s$
2. In experimental data processing, we usually take one counting point every 5 dots. If the ticker timer frequency is $50Hz$, what is the time interval $T$ between two adjacent counting points?
- A. $0.02s$
- B. $0.05s$
- C. $0.10s$
- D. $0.20s$
3. If the distance between adjacent counting points on the paper tape is observed to getting larger, what motion is the cart doing?
- A. Uniform linear motion
- B. Accelerated linear motion
- C. Decelerated linear motion
- D. Stationary
4. For an object doing uniformly accelerated linear motion, what relationship does the difference between adjacent displacements $\Delta x$ satisfy in continuous equal time intervals $T$?
- A. $\Delta x = aT$
- B. $\Delta x = aT^2$
- C. $\Delta x = \frac{1}{2}aT^2$
- D. $\Delta x = 0$
5. Given that the time interval between adjacent counting points is $T=0.1s$. The measured distance of the first segment of counting points is $x_1 = 3.0cm$, and the second segment is $x_2 = 3.8cm$. Calculate the acceleration $a$ of the cart using $\Delta x = aT^2$.
- A. $0.8 m/s^2$
- B. $8.0 m/s^2$
- C. $0.08 m/s^2$
- D. $0.4 m/s^2$
6. In an ideal situation without considering friction and air resistance, if the ramp angle $\theta$ is increased, how will the acceleration $a$ of the cart sliding down change?
- A. Increase
- B. Decrease
- C. Unchanged
- D. Increase then decrease
7. In an ideal situation without considering friction, if the mass of the cart is increased, the acceleration of the cart sliding down will:
- A. Increase
- B. Decrease
- C. Unchanged
- D. Unable to determine
8. Why is it recommended to use the "Method of Successive Differences" in experimental data processing instead of just using the first and last segments to calculate acceleration?
- A. Calculation is simpler
- B. Fully utilize all data to reduce accidental errors
- C. To make up theoretical values
- D. Can eliminate systematic errors
9. If friction exists in the experiment, compared with the theoretical value $g \sin\theta$, the measured acceleration $a$ will be:
- A. Larger
- B. Smaller
- C. Equal
- D. Randomly larger or smaller