Question

draw a mass vs energy graph. draw a line for the 18 km/h speed. add a line to show what the graph would look like if the surfers were all traveling at a speed of 12 km/h instead. label each line and the axis variables. you do not need to add a scale to your axes.

Explanation:

Step1: Determine axis labels

The x - axis is labeled "Mass" and the y - axis is labeled "Energy".

Step2: Recall kinetic energy formula

The kinetic energy formula is $E_k=\frac{1}{2}mv^{2}$, where $E_k$ is energy, $m$ is mass and $v$ is velocity. For a fixed velocity, energy is directly proportional to mass, so the graph will be a straight - line.

Step3: Draw line for 18 km/h

For a velocity of $v = 18$ km/h, since $E=\frac{1}{2}mv^{2}$ and $v$ is constant, the relationship between $E$ and $m$ is a linear one. We draw a straight line and label it "18 km/h".

Step4: Draw line for 12 km/h

For a velocity of $v = 12$ km/h, using $E=\frac{1}{2}mv^{2}$, it is also a linear relationship between $E$ and $m$. But since $12<18$, for the same mass, the energy at 12 km/h will be less than at 18 km/h. So we draw a less - steep straight line and label it "12 km/h".

Answer:

A mass - energy graph is drawn with the x - axis labeled "Mass" and the y - axis labeled "Energy". There are two straight lines, one labeled "18 km/h" and a less - steep one labeled "12 km/h".