A `10 kW` drilling machine is used to drill a bore in a small aluminium block of mass `8.0 kg`. How much is the rise in temperature of the block in `2.5` minutes, assuming `50%` of power is used up in heating the machine itself or lost to the surrounding? Specific heat of aluminium `= 0.91 J//g^(@)C`.

Explanation

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the total energy produced by the drilling machine in 2.5 minutes.

Given:
- Power of the drilling machine, \( P = 10 \, \text{kW} = 10,000 \, \text{W} \)
- Time, \( t = 2.5 \, \text{minutes} = 2.5 \times 60 \, \text{seconds} = 150 \, \text{seconds} \)

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