Final answer:
The efficiency of the machine is calculated using the formula Efficiency = (Output Work / Input Work) × 100%. Using the values given (1000 J output work and 2000 J input work), the efficiency is determined to be 50%.
Step-by-step explanation:
The efficiency of a machine is calculated by dividing the output work by the input work and then multiplying by 100 to get a percentage. In the case provided, the student is asking how to calculate the efficiency when a machine does 1000 Joules (J) of output work with an input of 2000 J.
To find the efficiency, we use the formula:
Efficiency = (Wout / Win) × 100%
Plugging in the given values:
Efficiency = (1000 J / 2000 J) × 100%
Efficiency = 0.5 × 100%
Efficiency = 50%
Therefore, the efficiency of the machine is 50%.