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

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.
Object
Mass (kg)
Kinetic energy (J)

6
3

8
4

10
5
D
12
6
How would a line graph look that shows the relationship between kinetic energy and mass?
(1 point)
• It looks like a horizontal flat line.
• It looks like a straight line slanting upwards.
• It looks like a curve going down.
• It looks like a straight line slanting downwards.

GPT-4o mini · Answer

To determine how a line graph would look that shows the relationship between kinetic energy and mass for the objects, we first need to understand the formula for kinetic energy (KE):

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

where:

\( m \) is the mass of the object,
\( v \) is the velocity (which is constant for all objects in this case).

Since the velocity is constant, the kinetic energy is directly proportional to the mass of the object. This means that as mass increases, kinetic energy also increases linearly.

From Taylor's data, we can see that as the mass increases from 6 kg to 12 kg, the kinetic energy also increases from 3 J to 6 J. This relationship indicates a linear correlation.

Therefore, if you were to plot a line graph with mass on the x-axis and kinetic energy on the y-axis, it would look like a straight line slanting upwards.

The correct answer is: • It looks like a straight line slanting upwards.