A force of 291.0 N is used to push a 140 kg mass 30.0 m horizontally in 3.00 s. Calculate the power developed in kW.
To calculate the power developed, we need to use the formula:
Power = Force x Distance / Time
First, we need to convert the force from newtons (N) to kilonewtons (kN) since the power will be calculated in kilowatts (kW).
1 kN = 1000 N
So, the force can be expressed as:
291.0 N = 0.291 kN
Next, we can substitute the values into the formula:
Power = (0.291 kN) x (30.0 m) / (3.00 s)
Calculate the numerator:
0.291 x 30.0 = 8.73 kNm
Now, divide by the time:
8.73 kNm / 3.00 s = 2.91 kW
Therefore, the power developed is 2.91 kilowatts (kW).