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Science · Drill 33

Science practice 33

16 questions ~9 min recommended
⏱ 00:00
Score
—

Time (s)
33
4
6
8
9
10
11
12

10-g Ball Freefalling (R= 1 cm)
Distance | Velocity | Air Drag
Fallen (m) | (m/s) | Force (N)
0.0 | 0.0 | 0
4.9 | 9.8 | 19.6
19.6 | 44.1 | 29.4
78.4 | 39.2 | 123.0
49.0 | 176.0 | 58.8
240.0 | 68.6 | 314.0
78.4 | 397.0 | 88.2
0 | 0 | 0
0 | 0 | 0
0 | 0 | 0
0 | 0 | 0
490.0 | 98.0 | 593.0
108.0 | 706.0 | 118.0
0

10-g Ball Falling with Air (R= 1cm)
Distance | Velocity | Air Drag
Fallen (m) | (m/s) | Force (N)
0.0 | 0.0 | 0.000
4.8 | 9.5 | 0.009
19.1 | 18.7 | 0.033
41.0 | 25.1 | 0.061
68.1 | 28.9 | 0.080
97.8 | 30.7 | 0.090
129.0 | 31.5 | 0.095
161.0 | 31.8 | 0.097
192.0 | 31.9 | 0.098
224.0 | 32.0 | 0.098
256.0 | 32.0 | 0.098
288.0 | 32.0 | 0.098
320.0 | 32.0 | 0.098

140
120-
100 -
80 -
60 -
40 -
20 -
Velocity vs. Time for Falling 1-cm Radius Balls of Different Mass
• 10-g and 30-g ball falling without air
• 10-g ball falling with air (R = 1 cm)
-A- 30-g ball falling with air (R = 1 cm)
*
A-
•
• •
2
4
8
Time (seconds)
10
14

140
120-
100 -
80 -
60 -
40 -
20 -
Velocity vs. Time for 10-g Falling Balls of Different Radii
• Both balls without air
-• 1.0-cm radius ball with air
A 0.5-cm radius ball with air
•
-0
• •
2
4
8
Time (seconds)
14

When the effect of air on a falling object is negligible and gravity is the only significant force on that object, the object is considered to be in freefall. A scientist can create a freefall scenario by removing all air from a chamber (thus creating a vacuum) and allowing an object to drop freely. When objects are not falling freely, air affects them in different ways, depending on variables such as speed, mass, and size. If objects are able to fall for enough time through the air, they will eventually reach terminal velocity, a point at which their velocity stops increasing. Table 10.1 and Figures 10.1 and 10.2 show the effect of air on falling balls of different mass and radius.

TABLE 10.1

Figure 10.1

Figure 10.2

1. According to Table 10.1, which of the following is a correct statement about the velocity of a 10-g freefalling ball?

2. According to Table 10.1, which of the following is a correct statement about the distance a 10-g ball freefalls?

3. According to Table 10.1, how much does the air drag force on the ball (10 g, 1 cm) increase during the fourth second of falling through air?

4. Using the trends in Table 10.1, predict the velocity of the 10-g ball at the instant it has fallen freely from rest for 14 seconds.

5. After comparing the data for the falling ball with and without air, which of the following is a correct statement about the effect of air on velocity?

6. For the 10-g ball falling with air, Table 10.1 indicates that the force of air drag:

7. According to Figure 10.1, what is the effect of mass on the velocity of a falling object during the first five seconds as it falls through air?

8. As an object falls, the effect of air on its motion:

9. When air is present, what is the effect of the radius of the ball on the velocity of a falling object during the first five seconds?

10. According to Figures 10.1 and 10.2, the terminal velocity of the 10-g ball with the 0.05-cm radius is most nearly:

11. In the absence of air drag, a ball with a larger radius:

12. According to Figures 10.1 and 10.2, the ball with less mass (but the same radius) falling through the air:

13. Suppose one skydiver jumps out of an airplane feet first toward the ground. Her identical twin sister jumps out at the same time with her arms and legs extended and her stomach parallel to the ground. According to the passage, what can you infer about their subsequent motion?

14. A table-tennis ball with a mass of 3 g is dropped side by side with an identical-sized wooden ball with a mass of 30 g. Based on the information provided, what can you conclude if the balls fall in a vacuum (no air)?

15. A table-tennis ball with a mass of 3 g is dropped side by side with an identical-sized wooden ball with a mass of 30 g. If both balls are dropped from rest and fall through the air, what can you conclude?

16. According to the data trends illustrated in the passage, a ball dropped in a vacuum without air will:

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