Taylor creates a table using the masses of four different objects that travel with the same velocity. She calculates the kinetic energy of the objects and adds it to her table.

Question

How would a line graph look that shows the relationship between kinetic energy and mass?

(1 point)
Responses

It looks like a horizontal flat line.
It looks like a horizontal flat line.

It looks like a straight line slanting downwards.
It looks like a straight line slanting downwards.

It looks like a curve going down.
It looks like a curve going down.

It looks like a straight line slanting upwards.
It looks like a straight line slanting upwards.
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Answer 1

The relationship between kinetic energy (KE) and mass (m) for objects traveling at the same velocity (v) is given by the formula:

\[ KE = \frac{1}{2}mv^2 \]

In this equation, kinetic energy is directly proportional to mass when velocity is constant. Therefore, if you were to plot kinetic energy on the y-axis and mass on the x-axis, the graph would show a straight line slanting upwards.

So the correct response is:

It looks like a straight line slanting upwards.