A block of mass m, attached to a spring of spring constant k, oscilltes on a smooth horizontal table. The other end of the spring is fixed to a wall. If it has speed v when the spring is at its naturla lenth, how far will it move on the table before coming to an instantaneous rest?

Explanation

To solve the problem step by step, let's analyze the situation involving the block, spring, and the conservation of energy.

### Step 1: Understand the initial conditions
- The block of mass \( m \) is attached to a spring with spring constant \( k \).
- The spring is at its natural length when the block has a speed \( v \).
- The table is smooth, meaning there is no friction acting on the block.

**Hint:** Identify the initial state of the system where the spring is unstretched, and the block is moving with speed \( v \).
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