A 90 kg skydiver moving at terminal speed falls 76 m in 1.03 s. What power in kW is the skydiver expending on the air?

velocity=76m/1.03 s figure that out.

powerinWatts=velocity*mass

To find the power in kilowatts (kW) that the skydiver is expending on the air, we need to calculate the work done and divide it by the time taken.

First, let's calculate the work done by the skydiver. The work done is equal to the force applied multiplied by the distance traveled. In this case, the force is the weight of the skydiver, and the distance traveled is the height fallen.

1. Calculate the force:
The force applied is equal to the weight of the skydiver, which can be calculated using the formula:
Weight = mass * gravity, where mass is given as 90 kg and gravity is approximately 9.8 m/s² (acceleration due to gravity).
Weight = 90 kg * 9.8 m/s² = 882 N

2. Calculate the work done:
Work = force * distance
Since the distance fallen is given as 76 m, we have:
Work = 882 N * 76 m = 67,032 J (joules)

Next, we need to calculate the power, which is the rate at which work is done. It is given by the formula:
Power = Work / time

3. Calculate the power:
The time taken is given as 1.03 s.
Power = 67,032 J / 1.03 s = 65,024 W (watts)

Finally, to convert watts to kilowatts, we divide by 1000:
Power in kW = 65,024 W / 1000 = 65.02 kW

Therefore, the skydiver is expending approximately 65.02 kW of power on the air.