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 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.

It looks like a horizontal flat line.
It looks like a horizontal flat line.
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Answer 1

To determine how the line graph would look that shows the relationship between kinetic energy and mass, we can use the formula for kinetic energy (KE), which is:

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

where:

• \( KE \) is the kinetic energy,
• \( m \) is the mass, and
• \( v \) is the velocity.

Since Taylor's objects travel with the same velocity, the kinetic energy is directly proportional to the mass of the objects. Therefore, as the mass increases, the kinetic energy will also increase.

This means that the graph will show a positive linear relationship between kinetic energy and mass.

Thus, the correct response is:

It looks like a straight line slanting upwards.