Conservation of energy water turbine problem

[TheRedDevil18]

Homework Statement

Homework Equations

mgh=1/2mv^2

The Attempt at a Solution

7.1) 200*1000=200000kg

7.2) Must I use mgh? They asked for kinetic energy but energy is conserved so:
200000*9.8*150
= 2.9*10^8 J

7.3) Ep=Ek
2.9*10^8=1/2*200000*v^2
v=53.8 m.s

7.4) 85% of 2.9*10^8
= 2.5*10^8 J

7.5) It gets converted into heat and sound when it hits the turbine.

All good?

 

[mfb]

The electrical power output is energy per time, it has Watts as unit.
The numbers look fine, but you should keep their units in the calculations. In addition, it would be easier to understand your solutions if you start with the formulas first, and plug in numbers afterwards.

 

[TheRedDevil18]

p=w/t, how to find time?, must I use equations of motion?

 

[lep11]

p=w/t, how to find time?, must I use equations of motion?

Nope. You already know that the time is 1sec.