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

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.

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.

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.

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The correct answer is

Graph C.

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

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.

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