how much power is developed by an electric motor that moved a 500N load a distance of 20 meters in 10 seconds?
Work done = 500*20 = 10,000 Joules
10,000 / 10 = 1,000 watts
It will depend upon the direction that the load was moved. If it were on a cart on wheels, much less energy would be needed than if it were lifted straight up.
In any case, divide the work done by the time interval
To calculate the power developed by an electric motor, you can use the formula:
Power = Force × Distance ÷ Time
In this case, the force of the load is given as 500 Newtons, the distance is 20 meters, and the time taken is 10 seconds. Let's substitute these values into the formula:
Power = 500 N × 20 m ÷ 10 s
First, multiply 500 N by 20 m:
Power = 10,000 N·m ÷ 10 s
Next, divide 10,000 N·m by 10 s:
Power = 1,000 N·m/s
The unit "N·m/s" is equivalent to Watts (W) since it represents power. Therefore, the power developed by the electric motor is 1,000 Watts (W).