A block of copper of weight 2kg falls from a height of 10m into a bucket containing 10 litres of water. Assuming that all the mechanical energy is used to heat water, find the rise in temperature of water. Given `C_(w)=4180J kg^(-1) K^(-1)`

Explanation

To solve the problem step by step, we will use the principle of conservation of energy. The potential energy lost by the falling copper block will be equal to the heat gained by the water.

### Step 1: Calculate the potential energy (PE) of the copper block.
The potential energy (PE) of an object at a height is given by the formula:
\[ \text{PE} = mgh \]
where:
- \( m \) = mass of the block (2 kg),
- \( g \) = acceleration due to gravity (approximately \( 10 \, \text{m/s}^2 \)),
...