A group of students performed an experiment to test terminal velocity, which is the greatest speed obtained by a falling object. The students dropped different numbers of coffee filters and measured the resulting terminal velocity. Data Table: Mass (g): 1.01, 1.99, 3.02, 4.0, 5.01; Terminal Velocity (m/s): 1.74, 2.48, 3.04, 3.50, 3.80. Which of the following conclusions is supported by the data?
The greater the number of filters, the smaller the terminal velocity.
The data shows that as the mass of the coffee filters increases, the terminal velocity also increases but at a decreasing rate, indicating that heavier objects experience higher terminal velocities. However, the statement that "the greater the number of filters, the smaller the terminal velocity" is not supported by the data, as the terminal velocity increases with mass.
This statement is a general principle of terminal velocity; however, it does not specifically relate to the data provided in the experiment. While it reflects the concept of equilibrium between forces, it does not draw a conclusion from the specific data about coffee filters and their terminal velocities.
This conclusion is indeed supported by the data, as there is a trend where the terminal velocities increase with the addition of more filters. As the mass increases, the terminal velocity does not decrease but rather increases, indicating that heavier objects fall faster due to the increased gravitational force overcoming air resistance.
This statement implies that heavier objects attain their maximum speeds faster than lighter ones. While heavier objects may reach higher terminal velocities, the data does not provide information about the time taken to reach terminal velocity, making this conclusion unsupported by the experiment.
Although heavier objects do have a higher terminal velocity, the term "fall faster" could be misleading as it suggests a comparison at the same time frame. The data shows that while the terminal velocities increase with mass, it does not imply that heavier objects continuously fall faster than lighter ones before reaching terminal velocity.
The experiment illustrates that terminal velocity increases with mass, supporting the conclusion that the greater the number of filters, the smaller the terminal velocity is incorrect. Each option reflects different aspects of motion and air resistance, but only the specific relationship between mass and terminal velocity is accurately described in the data presented.
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