Question

which of the following graphs best represents the relationship between mass and kinetic energy?

Explanation:

The formula for kinetic energy (KE) is $KE = \frac{1}{2}mv^2$, where $m$ is mass and $v$ is velocity. If velocity is constant, KE is directly proportional to mass (a linear relationship with a positive slope). Graph b shows a straight line through the origin with a positive slope, representing a direct proportionality between KE and mass (when velocity is constant). Graphs a (curved, peak), c (non - linear, decreasing), and d (negative slope) do not match the direct relationship.

Answer:

B. The graph with a straight line through the origin and a positive slope (representing the direct proportionality between kinetic energy and mass when velocity is constant)