Is the total mechanical energy conserved for a falling body if we include the effect of air resistance during its fall?

Explanation

To determine whether the total mechanical energy is conserved for a falling body when including the effect of air resistance, we can analyze the situation step by step.

### Step-by-Step Solution:

1. **Understanding Mechanical Energy**:
- Mechanical energy is the sum of potential energy (PE) and kinetic energy (KE).
- For a falling body at height \( h \), the potential energy is given by \( PE = mgh \) (where \( m \) is the mass of the body and \( g \) is the acceleration due to gravity).

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