Potential Energy & Niagara Falls

AI Thread Summary
To calculate the change in potential energy of 2.8 kg of water falling 50 m at Niagara Falls, the equation U = mgh is used. The initial potential energy at the top is calculated as 1372 J. However, the change in potential energy must consider the final position at the bottom, where potential energy is zero. Therefore, the change in potential energy is -1372 J, indicating that the water loses potential energy as it falls. This understanding clarifies the concept of potential energy loss during free fall.
warrior2014
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Homework Statement


Calculate the change in potential energy of 2.8kg of water as it passes over Niagara falls (a distance of 50m)


Homework Equations


U= mgh


The Attempt at a Solution



I plugged in the values into the equation U=mgh= (2.8)(9.8)(50)=1372J but it was the wrong answer. I'm not exactly sure what I am doing wrong. Any help is appreciated!
 
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You are calculating the PE at the top. What's the PE at the bottom? The problem is asking for the change in PE as the water falls from the top to the bottom.
 
Would it be a negative number?
 
if the height at the bottom is 0, then wouldn't the PE at the bottom also be 0? so then PE would be 1372J? I'm kind of confused.
 
Does a body gain or lose PE as it falls to ground?
 
lose?
 
So, in falling it loses PE. Hence the negative sign.
 
oh okay. thank you! now I understand.
 
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