Respuesta :

The correct answer is

Graph C.

In fact, kinetic energy and mass are related by the formula:

[tex]K=\frac{1}{2}mv^2[/tex]

where K is the kinetic energy, m is the mass, v is the speed of the object.

From the formula, we see that there is a direct proportionality between K and m, therefore on the graph this relationship should be represented by a straight line, as in graph C.

The kinetic energy of the object depends on its mass and velocity

The graph of the straight line shown in option C is the correct representation of the relationship between mass and KE of the object.

What is kinetic energy?

The kinetic energy of an object is the energy that an object or a particle has by reason of its motion. Kinetic energy is a property of a moving object or particle and depends not only on its motion but also on its mass.

The kinetic energy of an object is given by the expression.

[tex]KE = \dfrac {1}{2}mv^2[/tex]

Where KE is the kinetic energy, m is the mass and v is the velocity of the object.

The above expression of the kinetic energy shows that it is directly proportional to the mass of the object.

[tex]KE \propto m[/tex]

If we show this relation of mass and KE on a graph, then it would be a straight line showing the direct proportionality between mass and KE of the object.

Hence we can conclude that the graph of the straight line shown in option C is the correct representation of the relationship between mass and KE of the object.

To know more about kinetic energy, follow the link given below.

https://brainly.com/question/999862.