Question

having problems staying logged in or are you experiencing... 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 4 of 4: dependent variable: acceleration independent variable: mass graph with mass (kg) on y - axis, acceleration (m/s²) on x - axis

Explanation:

To determine the correct notebook entry, we analyze the experiment: they vary the mass (independent variable) and measure acceleration (dependent variable, as it depends on mass, from \( F = ma \), so \( a=\frac{F}{m} \), acceleration is inversely related to mass when force is constant). The plot should have the independent variable (mass) on the x - axis? Wait, no—wait, in the plot shown, x - axis is acceleration (\( m/s^2 \)), y - axis is mass (kg). But from the relationship \( a=\frac{F}{m} \), acceleration is dependent on mass. Wait, the independent variable is what we manipulate (mass), dependent is what we measure (acceleration). In a plot, the independent variable is typically on the x - axis, dependent on y - axis? Wait, no—wait, in this case, the experiment is varying mass (independent) and seeing how acceleration (dependent) changes. So the correct identification is: independent variable is mass, dependent is acceleration. Now, looking at the plot: x - axis is acceleration, y - axis is mass. But from the data points, as acceleration increases, mass decreases, which is consistent with \( a=\frac{F}{m} \) (inverse relationship). Now, the notebook entry here has dependent variable as acceleration, independent as mass, which is correct. Also, the plot: even though x is acceleration (dependent) and y is mass (independent), the data shows the inverse relationship. Wait, but in plotting, usually independent is x, dependent is y. But maybe here, since it's an inverse relationship, plotting mass vs acceleration (with mass on y, acceleration on x) still shows the trend. So the notebook entry correctly identifies independent (mass) and dependent (acceleration), and the plot (even with axes as such) shows the inverse relationship between mass and acceleration when force is constant. So this entry is accurate.

Answer:

The notebook entry is accurate. The independent variable (what is manipulated) is Mass, the dependent variable (what is measured) is Acceleration. The plot shows the inverse relationship between mass and acceleration (as mass increases, acceleration decreases, consistent with \( F = ma \) when \( F \) is constant), so this entry correctly identifies the variables and the plot choice.