Water flows over the edge of a waterfall at a rate of 1.2 x 106 kg/s. There are 50.0 m between the top and bottom of the waterfall. How much power is generated by the falling water by the time it reaches bottom?
To calculate the power generated by the falling water, we can use the equation:
Power = (mass flow rate) x (acceleration due to gravity) x (height)
Given:
Mass flow rate (m) = 1.2 x 10^6 kg/s
Height (h) = 50.0 m
Acceleration due to gravity (g) = 9.8 m/s^2
Substituting these values into the equation, we get:
Power = (1.2 x 10^6 kg/s) x (9.8 m/s^2) x (50.0 m)
Power = 5.88 x 10^8 Watts
Therefore, the falling water generates a power of 5.88 x 10^8 Watts by the time it reaches the bottom of the waterfall.