Final answer:
The machine did a total of 18,900 joules of work. The work done by the machine is calculated using the formula Work done (J) = Power (W) × Time (s). By plugging in the machine's power of 756 watts and the time of 25 seconds.
Step-by-step explanation:
To calculate the work done by the machine, we can use the relationship between power, work, and time. Power is defined as the rate at which work is done, which can be represented by the formula:
Power (W) = Work done (J) / Time (s)
To find the work done, we simply rearrange this formula to solve for work:
Work done (J) = Power (W) × Time (s)
In this case, the machine performs 756 watts of power over the course of 25 seconds. Using the formula:
Work done = 756 W × 25 s
We can calculate the work done as:
Work done = 18900 J (joules)
Therefore, the machine did a total of 18,900 joules of work.