Gravitational ep in a uniform field

AI Thread Summary
The gravitational potential energy of the water flowing over Niagara Falls each hour is calculated to be 1.91 x 10^13 joules using the formula Ep = mgh, where m is the mass of the water, g is the acceleration due to gravity, and h is the height of the fall. To determine the power represented by the water, the energy must be divided by the time, as power is defined as energy per unit time. Given that the mass of water flowing over the falls is 3.0 x 10^10 kg, the calculations align with the principles of physics regarding energy and power. The discussion emphasizes the application of gravitational potential energy in a uniform field and the relationship between energy and power. Understanding these concepts is crucial for solving similar physics problems.
kelly242
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Homework Statement


It is estimated that 3.0 x 1010 kg of water flow over Niagara falls each hour. The height of the fall is 65 m. What is the total gravitational potential energy of the water relative to the bottom of the falls that falls in one hour. What is the power represented by the water that goes over the falls?

Homework Equations


Ep=mgh
Ek=1/2mv2

The Attempt at a Solution


Ep=mgh
=(3.0 x 1010 kg)(9.81 m/s2)(65 m)
= 1.91 x 1013 J
secong question is what doesn't make sense
 
Physics news on Phys.org
power = energy / time

A watt is a unit of power and has SI base units of units kg*m2/s3

I think you have all the needed information.
 
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