A body `m_(1)` of mass 10 kg is placed on a smooth horizontal table It is connected to a string which passes over a frictionless pulley and carries at the other end , a body `m_(2)` of mass 5 kg What acceleration will be produced in the bodies when the nail fixed on the table is removed ? what will be the tension in the string during the motion of the bodies ? What when the bodies stop ? (g= 9.8 N ? kg ) .

Explanation

To solve the problem step by step, we will analyze the forces acting on both masses and apply Newton's second law of motion.

### Step 1: Identify the system and forces acting on each mass
- Mass \( m_1 = 10 \, \text{kg} \) is on a smooth horizontal table.
- Mass \( m_2 = 5 \, \text{kg} \) is hanging vertically.
- When the nail is removed, \( m_2 \) will accelerate downward due to gravity, and \( m_1 \) will accelerate horizontally.

### Step 2: Write the equations of motion for both masses
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