Machines A, B, and C do the same amount of work, but they each take a different amount of time. Machine A takes more time as compared to machine C. Machine B takes the maximum time to do the same amount of work. Which machine expends the most power doing this work?
Power = work/time
Look at the equation - If time increases, would power increase or decrease? If you're not sure, plug some numbers into the equation.
My answer is Machine C.
To determine which machine expends the most power, we need to know the relationship between power, work, and time.
Power is defined as the work done per unit of time. Mathematically, power can be calculated using the equation:
Power = Work / Time
Since machines A, B, and C do the same amount of work, we can compare their power outputs by understanding their respective times.
Given that machine A takes more time than machine C, we know that machine A has a lower power output than machine C. This is because power is inversely proportional to time. Therefore, machine A expends less power compared to machine C.
Since machine B takes the maximum time to do the same amount of work, it means that machine B has the lowest power output among the machines A, B, and C. Therefore, machine B expends the least power in doing this work.
In summary, machine B expends the least power, machine A expends less power compared to machine C, and machine C expends more power compared to machine A.