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## Two balls are thrown against a wall. Ball 1 has a much higher speed than ball 2. Explain how the energy of the two balls is different

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## Answers ( )

Let both the balls have the same mass equals to m.

Let and be the speed of the ball1 and the ball2 respectively, such that

Assuming that both the balls are at the same level with respect to the ground, so let h be the height from the ground.

The total energy of ball1= Kinetic energy of ball1 + Potential energy of ball1. The Kinetic energy of any object moving with speed, , is

and the potential energy is due to the change in height is [where is the acceleration due to gravity]

So, the total energy of ball1,

and the total energy of ball1,

.

Here, the potential energy for both the balls are the same, but the kinetic energy of the ball1 is higher the ball2 as the ball1 have the higher speed, refer equation (i)

So,

Now, from equations (ii) and (iii)

The total energy of ball1 hi higher than the total energy of ball2.