If the useful energy output of a simple machine is 100J and the total energy input is 200J, what is the efficiency?

To determine the efficiency of a machine, you can use the formula:

Efficiency = (Useful Energy Output / Total Energy Input) × 100%.

In this scenario, the useful energy output is 100J, and the total energy input is 200J. Plugging these values into the formula gives:

Efficiency = (100J / 200J) × 100% = 0.5 × 100% = 50%.

This result indicates that the machine is capable of converting 50% of its input energy into useful work, which is a crucial aspect in evaluating the performance of machines. A 50% efficiency suggests that half of the input energy is lost to factors such as friction, heat, or other forms of energy that do not contribute to useful work. Understanding this concept can help in improving machine design and energy utilization in practical applications.