Water flows over a section of a waterfall at the rate of 4.9 104 kg/s and falls 36 m. How much power is generated by the falling water?
power= force*distance/time= weight/time * distance
= mass*g/time * distance
To determine the power generated by the falling water, we need to use the formula:
Power = (mass flow rate) × (acceleration due to gravity) × (height)
Given:
Mass flow rate = 4.9 × 10^4 kg/s
Acceleration due to gravity = 9.8 m/s^2 (approximately)
Height = 36 m
First, let's substitute the given values into the formula:
Power = (4.9 × 10^4 kg/s) × (9.8 m/s^2) × (36 m)
Now, we can calculate the power:
Power = 1.7 × 10^7 W (watts)
Therefore, the falling water generates approximately 1.7 × 10^7 watts of power.