If a force of 200 kN is moved a distance of 15 m in 15 seconds, what power is developed?

To determine the power developed by the force, we can use the formula for power, which is defined as the work done per unit of time. Work is calculated as the force multiplied by the distance moved in the direction of the force.

In this scenario, the force applied is 200 kN, which can be converted to Newtons:

200 kN = 200,000 N.

The distance moved is 15 m. Therefore, the work done can be calculated as follows:

Work = Force × Distance = 200,000 N × 15 m = 3,000,000 J (joules).

Next, we need to find the power, which is work done divided by the time taken in seconds. The time taken here is 15 seconds.

Power = Work / Time = 3,000,000 J / 15 s = 200,000 W.

Since 1 kW (kilowatt) is equal to 1,000 W, we can convert this power into kilowatts:

200,000 W = 200 kW.

Thus, the power developed in this situation is 200 kW, making this the correct response.