Question

which graph best represents the relationship between ke and mass?

Explanation:

Step1: Recall the kinetic energy formula

The formula for kinetic energy is \( KE=\frac{1}{2}mv^{2}\). Assuming velocity \(v\) is constant.

Step2: Analyze the relationship

Since \(v\) is constant, \(KE\) is directly proportional to \(m\) (\(KE = (\frac{1}{2}v^{2})m\), and \(\frac{1}{2}v^{2}\) is a constant). A direct - proportional relationship is represented by a straight - line graph passing through the origin.

Answer:

The first graph (the straight - line graph with a positive slope passing through the origin) best represents the relationship between \(KE\) and mass.