A 30km/h (8m/s) gust of wind results in 25 N of force on a kite that pulls a 50kg kiter off her feet and drags her 8m. How much work does the kite do?

To calculate the work done by the kite, we can use the formula:

Work = Force x Distance

First, we need to convert the speed of the wind from km/h to m/s. We know that 1 km/h is equal to 0.2778 m/s, so we can calculate the speed in m/s by:

30 km/h * 0.2778 m/s = 8.334 m/s (approx.)

The force exerted by the wind on the kite is given as 25 N. The distance over which this force acts is 8m.

Now, we can substitute these values into the work formula:

Work = Force x Distance
Work = 25 N * 8 m
Work = 200 Joules

Therefore, the kite does 200 Joules of work.