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

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

It looks like a straight line slanting upwards.

Answer 1

To understand the relationship between kinetic energy and mass, we can refer to the formula for kinetic energy (KE):

\[ KE = \frac{1}{2} m v^2 \]

Where:

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

In this case, since the velocity is constant for all four objects, the kinetic energy is directly proportional to the mass. This means that as the mass increases, the kinetic energy also increases linearly.

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

So, the correct response would be:

It looks like a straight line slanting upwards.