How long would it take for a motor with 0.50 kW of power to do 1200 J of work?
To determine the time it would take for a motor with 0.50 kW of power to do 1200 J of work, we can use the formula:
Power = Work / Time
Given that the power is 0.50 kW and the work is 1200 J, we need to convert the power from kilowatts to watts since the work is in joules.
1 kilowatt (kW) = 1000 watts (W)
So, 0.50 kW = 0.50 * 1000 W = 500 W
Substituting these values into the formula, we have:
500 W = 1200 J / Time
To find the time, we can rearrange the formula:
Time = Work / Power
Time = 1200 J / 500 W
Time ≈ 2.4 seconds
Therefore, it would take approximately 2.4 seconds for a motor with 0.50 kW of power to do 1200 J of work.