A ball of mass m is dropped from a height of 20 m . The ball loses 20 per cent of its kinectic energy in striking the ground . What will be the height to which the ball will bounce ? Where does this lost energy go ?

Explanation

To solve the problem, we will follow these steps:

### Step 1: Determine the initial potential energy of the ball
The initial potential energy (PE_initial) of the ball when it is at a height of 20 m can be calculated using the formula:
\[ PE_{\text{initial}} = mgh \]
where:
- \( m \) = mass of the ball (in kg)
- \( g \) = acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \))
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