Not even sure where to start with this one :\
Water flows over a section of Niagara Falls at
a rate of 1.4 x 10^6 kg/s and falls 59 m.
The acceleration of gravity is 9.8 m/s^2.
What is the power wasted by the waterfall?
Answer in units of W.
Not even sure where to start with this one :\
Water flows over a section of Niagara Falls at
a rate of 1.4 x 10^6 kg/s and falls 59 m.
The acceleration of gravity is 9.8 m/s^2.
What is the power wasted by the waterfall?
Answer in units of W.
In one second, $\displaystyle 1.4\times10^6\ \textrm{kg}$ of water passes through that particular section. The work done by gravity on this mass of water as it falls through $\displaystyle 59\ \textrm{m}$ is $\displaystyle 1.4\times10^6\times9.8\times59=8.0948\times10^8\ \textrm{J}$. This is the amount of energy “wasted” per second; hence the power wasted by the waterfall is $\displaystyle 8.0948\times10^8\ \textrm{W}$.