A bullet of mass 0.012 kg and horizontal speed `70ms^(-1)` strikes a block of wood of mass 0.4 kg and instantly comes to rest with respect to the block. The block is suspended from the ceiling by thin wire. Calculate the height to which the block rises. Also, estimate the amount of heat produced in the block.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Calculate the initial momentum of the bullet
The initial momentum of the bullet can be calculated using the formula:
\[ \text{Momentum} = \text{mass} \times \text{velocity} \]
Given:
- Mass of the bullet \( m = 0.012 \, \text{kg} \)
- Velocity of the bullet \( v = 70 \, \text{m/s} \)
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