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rose22

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**Rearranging equations-need clarifying & pointing in the right direction! (long)**

**1. For an assignment question, I need to rearrange equations to find the temperature increase of a waterfall, specifically energy that has been turned into internal heat of the water. The height of the drop is 365 m. Mass of water is 1,000 kg (though the question states answer can be found without it). There isn't any net transfer of energy between mass of water & kinetic energy gained in the fall.**

**2. Equations that I've used so far:**

ΔE

W = mgh

g = constant

I know that I need to use q = mcΔT

ΔE

_{k}= 1/2 mv^{2}W = mgh

g = constant

I know that I need to use q = mcΔT

**3. So far, this is what I have done:**

(rearranged from 1/2 mv

v = √2gh

v = 2 x 9.8 x 365 = 7154 (7 x 10

√7154 = 84.58 = 85

Then, I did:

(rearranged from q = mcΔT)

ΔT = q divided by mc

85 / 1000 x (4.2 x 10

Is this about right? How can I put the 3 equations together, or are they alright like that?

Thank you!

(rearranged from 1/2 mv

^{2}= mgh)v = √2gh

v = 2 x 9.8 x 365 = 7154 (7 x 10

^{3})√7154 = 84.58 = 85

Then, I did:

(rearranged from q = mcΔT)

ΔT = q divided by mc

85 / 1000 x (4.2 x 10

^{3}) = 357Is this about right? How can I put the 3 equations together, or are they alright like that?

Thank you!