Can any object have momentum even if its mechanical energy is zero?

Explanation

To determine whether an object can have momentum even if its mechanical energy is zero, we need to analyze the definitions and relationships between momentum, kinetic energy, and potential energy. Here’s a step-by-step solution:

### Step 1: Understand Mechanical Energy
Mechanical energy (ME) is defined as the sum of kinetic energy (KE) and potential energy (PE):
\[ \text{ME} = \text{KE} + \text{PE} \]

### Step 2: Set Mechanical Energy to Zero
If mechanical energy is zero, we can write:
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