A bullet of mass 10 gram is fired horizontally into a 5 kg wooden block at rest on a horizontal surface The coefficient of kinetic friction between the block and the surface is 0.1 Calculate the speed of the bullet striking the block if the combination moves 20 m before coming rest .

Explanation

To solve the problem step by step, we will follow the principles of conservation of momentum and the equations of motion under uniform acceleration.

### Step 1: Identify the Given Data
- Mass of the bullet, \( m_1 = 10 \, \text{grams} = 0.01 \, \text{kg} \)
- Mass of the block, \( m_2 = 5 \, \text{kg} \)
- Coefficient of kinetic friction, \( \mu_k = 0.1 \)
- Distance moved before coming to rest, \( s = 20 \, \text{m} \)

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