To calculate the net work done by the machine, we can start by calculating the total energy consumed and then subtract the wasted heat energy.

1. Total Energy Consumed: $\text{Power} \times \text{Time} = 3.5 \, \text{kW} \times 10 \, \text{minutes}$ Converting 10 minutes into seconds: $10 \times 60 = 600 \, \text{seconds}$ Then: $3.5 \, \text{kW} = 3.5 \times 1000 \, \text{W} = 3500 \, \text{W}$ So: $\text{Total Energy Consumed} = 3500 \, \text{W} \times 600 \, \text{s} = 2100000 \, \text{J} = 2100 \, \text{kJ}$

2. Net Work Done: Net work done is the total energy consumed minus the wasted heat energy: $\text{Net Work Done} = 2100 \, \text{kJ} - 500 \, \text{kJ} = 1600 \, \text{kJ}$

So, the net work done by the machine is 1600 kJ.

Would you like further details, or have any questions?

Here are 5 related questions to consider:

1. What is the significance of power in energy calculations?
2. How can we improve the efficiency of a machine to reduce wasted energy?
3. What other forms of energy conversion might occur in a machine?
4. How does time impact the energy consumption of a device?
5. How can heat energy be recovered or reused?

Tip: Always remember to convert time into seconds when working with power in watts.