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Science · Drill 27

Science practice 27

10 questions ~9 min recommended
⏱ 00:00
Score
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I appreciate your submission, but I need to clarify: the input you've provided is **data tables** (scientific experiment results) with **multiple-choice questions**, not a reading passage with underlined text. The instructions I was given are specifically for **ACT English passages** — text narratives where certain phrases are underlined and need to be evaluated for grammar, style, or word choice. Your tables and questions appear to be from a **science section** (possibly ACT Science Reasoning), not an English passage, so they don't contain: - Continuous prose text - Underlined portions to mark with `` tags - Standalone digit markers within narrative text **To help you, I would need:** - An actual **text passage** (prose narrative), OR - Clarification that you need these tables rendered in a different format Could you provide the passage text that accompanies these questions, or let me know if you need a different type of assistance?

A simple pendulum consists of a mass (the pendulum bob) suspended by a string, as shown in Figure 8.6. In an experiment, the mass of the bob, the radius of the arc, and the release height (measured vertically from the bottom of the swing) were varied. Rather than measuring the speed at the bottom of the swing, energy analysis was used to predict the speed of the pendulum bob at the bottom of the swing. The results are shown in Table 8.4.

Figure 8.6

TABLE 8.4

A second experiment used the same scenario, but it included the measurement of the centripetal force and calculation of centripetal acceleration. Centripetal force is a real, unbalanced force pointed toward the center of an object's circular motion. Likewise, centripetal acceleration is defined as the component of acceleration directed toward the center. As a pendulum bob swings through the bottom of its arc, the string force dominates the gravitational force, thus providing the centripetal force that gives the pendulum bob its upward centripetal acceleration. The results are shown in Table 8.5.

TABLE 8.5

1. According to the data in Table 8.4, increasing the mass of the pendulum bob:

2. A 0.010-kg pendulum has an arc radius of 0.40 m. Using the data trends shown in Table 8.4, predict the kinetic energy at the bottom of the swing if it is released from a height of 0.35 m.

3. According to Table 8.4, when the release height doubles, the gravitational energy at the top of the swing:

4. Which of the following conclusions about energy is supported by Table 8.4?

5. When the mass of the pendulum bob doubles, the kinetic energy at the bottom of the swing:

6. When the pendulum bob's kinetic energy doubles, its speed:

7. According to Table 8.5, centripetal acceleration is

8. When the radius of the arc doubles, the centripetal force:

9. A car approaches a school zone with a speed limit of 20 miles per hour. Using the data trends shown in Table 8.4, how does the kinetic energy of a car speeding at 40 miles per hour compare to that of a car moving at the speed limit?

10. Using Table 8.5, predict the centripetal force on a 0.060-kg bob with a 0.40-m arc radius that is released from a height of 0.25 m.

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