Students Lucia, Isabel, and Austin are investigating how snow stops a dropped 500-g lemon juice bottle. In particular, they are interested in how the force exerted by the snow depends on the age of the snow. They take high-speed videos of the bottle while it sinks into the snow, taking their first set of measurements 4 days after fresh snowfall and the second set of measurements 2 days later. After analyzing the videos frame by frame see (Figure 1), they plot a graph that shows how the velocity of the bottle from the moment the bottle touches the snow changes for both types of snow (Figure 2). They each explain their results as follows: Figure < 2 of 2

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Students Lucia, Isabel, and Austin are investigating how snow
stops a dropped 500-g lemon juice bottle. In particular, they are
interested in how the force exerted by the snow depends on the
age of the snow. They take high-speed videos of the bottle while
it sinks into the snow, taking their first set of measurements 4
days after fresh snowfall and the second set of measurements 2
days later. After analyzing the videos frame by frame see
(Figure 1), they plot a graph that shows how the velocity of the
bottle from the moment the bottle touches the snow changes for
both types of snow (Figure 2).
They each explain their results as follows:
Figure
< 2 of 2
Part A
The students each explain their results differently. Determine which student, if any, is correct.
O Lucia: The 6-day snow exerts a larger force on the bottle because it stops the bottle in a shorter time.
Isabel: The time taken to stop the bottle does not say much about the force. The 6-day snow exerts a larger force on the bottle because the slope of its
vy(t) graph is steeper.
O
Austin: We cannot compare the forces exerted by the snow because the initial velocities are different. We need to repeat the experiments and make sure
we always drop the bottle from the same height.
O No one is correct.
la
1
C
+
Transcribed Image Text:Students Lucia, Isabel, and Austin are investigating how snow stops a dropped 500-g lemon juice bottle. In particular, they are interested in how the force exerted by the snow depends on the age of the snow. They take high-speed videos of the bottle while it sinks into the snow, taking their first set of measurements 4 days after fresh snowfall and the second set of measurements 2 days later. After analyzing the videos frame by frame see (Figure 1), they plot a graph that shows how the velocity of the bottle from the moment the bottle touches the snow changes for both types of snow (Figure 2). They each explain their results as follows: Figure < 2 of 2 Part A The students each explain their results differently. Determine which student, if any, is correct. O Lucia: The 6-day snow exerts a larger force on the bottle because it stops the bottle in a shorter time. Isabel: The time taken to stop the bottle does not say much about the force. The 6-day snow exerts a larger force on the bottle because the slope of its vy(t) graph is steeper. O Austin: We cannot compare the forces exerted by the snow because the initial velocities are different. We need to repeat the experiments and make sure we always drop the bottle from the same height. O No one is correct. la 1 C +
Vy (m/s)
5.0
4.5
4.0
3.5,
3.0
2.5
2.0
1.5
1.0
0.5
0
4-day snow
6-day snow
0.1 0.2
0.3 0.4 0.5 0.6
t(s)
Transcribed Image Text:Vy (m/s) 5.0 4.5 4.0 3.5, 3.0 2.5 2.0 1.5 1.0 0.5 0 4-day snow 6-day snow 0.1 0.2 0.3 0.4 0.5 0.6 t(s)
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