Question

using the concept builder - experiments and var
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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 1 of 4:
table: dependent variable: acceleration; independent variable: mass; graph: acceleration (m/s²) vs mass (kg) with data points
student name: redacted
activity: data representations
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Explanation:

To determine the correct notebook entry, we analyze the experiment: the independent variable is what's manipulated (mass of the cart), and the dependent variable is what's measured (acceleration, as it depends on mass when force is constant). The plot should have mass (independent) on the x - axis and acceleration (dependent) on the y - axis, which matches the given choice. The relationship between mass and acceleration (from Newton's second law \(F = ma\), with \(F\) constant, \(a=\frac{F}{m}\)) shows an inverse relationship, and the plot's trend (decreasing acceleration with increasing mass) is consistent. So this choice correctly identifies the variables and the appropriate plot.

Answer:

The given choice (with dependent variable as Acceleration, independent variable as Mass, and the plot of Acceleration vs Mass) is correct.