A bullet of mass 25 g is fired horizontally into a ballistic pendulum of mas 5.0 kg and gets embedded in it figure. If the centre of the pendulum rises by a distance of 10 cm, find the speed of the bullet.

Explanation

To solve the problem step by step, we will use the principles of conservation of momentum and conservation of energy.

### Step 1: Convert the mass of the bullet and pendulum to kilograms
- Mass of the bullet, \( m = 25 \, \text{g} = 0.025 \, \text{kg} \)
- Mass of the pendulum, \( M = 5.0 \, \text{kg} \)

**Hint:** Always convert units to SI units for consistency in calculations.

...