A block A of mass 8 kg is placed on a frictionless horizontal table. A thread tied to it passes over a frictionless pulley and carries a body B of mass 2 kg at the other end. Find the acceleration of the system. Also find the tension in the thread. If the thread is cut into two and tied to the ends of a spring of forceconstant 1600N/m, find the amount of stretching of the spring. Neglect the mass of thread and of spring `(g = 9.8 m//s^(2))`

Explanation

To solve the problem step by step, we will first analyze the forces acting on the two masses and then apply Newton's second law to find the acceleration and tension in the system. Finally, we will calculate the stretching of the spring when the thread is cut.

### Step 1: Identify the masses and forces
- Mass of block A (m1) = 8 kg (on the table)
- Mass of block B (m2) = 2 kg (hanging)
- Gravitational acceleration (g) = 9.8 m/s²

### Step 2: Write the equations of motion
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