Question

having problems staying logged in... section for solutions. anna litical and nellie newton conduct several trials in which they study the effect of varying the mass of a cart upon the acceleration of the cart when pulled with a constant force. which notebook entry accurately identifies the variables and displays the best choice for a plot? choice 3 of 4: dependent variable: mass, independent variable: acceleration, graph with mass (kg) on y - axis, acceleration (m/s²) on x - axis

Explanation:

To determine the accuracy, we analyze variables: The experiment studies how mass (independent variable, manipulated) affects acceleration (dependent variable, responds). In the given choice, the dependent variable is listed as Mass and independent as Acceleration, which is incorrect. The correct relationship (from Newton’s 2nd law \( F = ma \), with constant \( F \), \( a \propto \frac{1}{m} \)) means mass is independent, acceleration dependent. So this choice misidentifies variables. (Note: Since the question is about identifying the error in variable labeling for a physics experiment, the subfield is Physics (Natural Science).)

Answer:

This notebook entry is incorrect. The independent variable should be Mass (as it is varied), and the dependent variable should be Acceleration (as it depends on mass, with constant force). The plot’s axes also reflect this mislabeling (x - axis: Acceleration, y - axis: Mass), but the variable labels are swapped.