[SOLVED] Falling water (power problem)
After a particularly wet winter, a weir is overflowing at the rate of 800 litres of water every second (1 litre of water has a mass of 1 kg). The water takes 1.3 s to fall to the river below.
With what vertical velocity does the water hit the river below? 1.3 * 10 m/s down
What height does the water fall through to the river below? 8.3 m
What weight of water falls over the weir every 10 s? 8000 kg
Calculate the work that has been done on this weight of water by gravitational forces by the time it reaches the river. 6.5 * 10^5 J
Calculate the power developed by the falling water at the instant before it hits the river.
[All of the above answers are correct.]
P = 6.5 * 10^5 / 10
= 6.5 * 10^4 W
yet the answers say 1 * 10^6 W. Where have I gone wrong?
TIA,
Fred
