Which graphs show the correct relationship between kinetic energy and mass?

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.
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.