# Where did the waste energy go to? A ball rolls off the ramp on the edge of a table heading...

## Question:

Where did the waste energy go to? A ball rolls off the ramp on the edge of a table heading downward and hits the ground. Was the energy lost or gained a direct relation to the distance that the metal ball traveled along the ramp?

## Kinetic Energy:

Let us consider an ore-loaded cart of mass (m) is traveling on the ground with a constant speed (v). In this situation, the kinetic energy associated with the cart can be given as,

{eq}K = \frac{1}{2}mv^{2}. {/eq}

The kinetic energy is one of the forms of mechanical energy that is expressed in Joule.

In this given situation, the ball will lose its energy when it hits the ground.

Here, the loss of energy will be directly proportional to the kinetic energy associated with the ball and the kinetic energy, in this case, will depend upon the vertical height of the ramp. The potential energy of the ball at the top of the ramp will be converted into the kinetic energy and the potential energy is directly proportional to the vertical height.

Therefore, there will be no direct relation between heat loss and the distance along the length of the ramp. 