Calculating Power Required to Accomplish Work

Explanation:

To calculate the power required by a machine that accomplished 583 joules of work in 1.56 hours, we need to use the formula for power, which is the rate of work done over time. The SI unit for power is the watt (W), where 1 W = 1 J/s. First, we need to convert hours into seconds because the standard unit of time in this context is seconds. There are 3,600 seconds in an hour, so 1.56 hours is 1.56 × 3,600 seconds. Next, we divide the total work done by the total time in seconds to find the power in watts.

Here is the step-by-step calculation:

Convert hours to seconds: 1.56 hours × 3,600 seconds/hour = 5,616 seconds.

Calculate power: Power = Work / Time = 583 joules / 5,616 seconds = 0.1038 watts.

Therefore, the power required to do 583 joules of work in 1.56 hours is approximately 0.1038 watts.