An electric motor lifts an elevator 9 m in 158 by exerting an upward force of 1.20times 100,000N What power does the motor produce in kW?

To calculate the power produced by the motor, we need to use the formula:<br /><br />Power = Work / Time<br /><br />First, let's calculate the work done by the motor. Work is defined as the force applied multiplied by the distance over which the force is applied. In this case, the force applied is 1.20 x 100,000 N and the distance is 9 m.<br /><br />Work = Force x Distance<br />Work = (1.20 x 100,000 N) x 9 m<br />Work = 10,800,000 N·m<br /><br />Next, we need to convert the time from seconds to hours. There are 3600 seconds in an hour.<br /><br />Time = 158 s<br />Time = 158 s / 3600 s/h<br />Time = 0.0438889 h<br /><br />Now we can calculate the power produced by the motor.<br /><br />Power = Work / Time<br />Power = 10,800,000 N·m / 0.0438889 h<br />Power = 245,000 W<br /><br />To convert the power from watts to kilowatts, we divide by 1000.<br /><br />Power = 245,000 W / 1000<br />Power = 245 kW<br /><br />Therefore, the power produced by the motor is 245 kW.