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What is the significance of sqrt{2gh} ?

by acspin
Tags: significance, sqrt2gh
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Apr22-10, 01:11 PM
P: 6
Hi, I'm not sure how to word my question, so I will just state it upfront.

What is the importance of [tex]\upsilon[/tex] = [tex]\sqrt{2gh}[/tex] in physics?

I've seen it in escape velocity problems, though with an R instead of h. I've seen it with conservation of momentum applications, and it's similar to PE = mgh. Yesterday my professor was discussing Bernoulli's equation and this equation came up again.

I was just wondering how it can be applied to so many different situations...
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Apr22-10, 04:52 PM
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tiny-tim's Avatar
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Hi acspin! Welcome to PF!

(have a square-root: √ )

It's because v2 is KE per mass.

Whenever KE + PE =constant, you'll have equations involving v2 = PE/m, which in some cases is gh.

As to Bernouli's equation, that's just conservation of energy applied to a fluid, and both KE and PE appear in it.
Apr23-10, 05:00 PM
P: 250
Quote Quote by acspin View Post
What is the importance of [tex]\upsilon[/tex] = [tex]\sqrt{2gh}[/tex] in physics?
When acceleration is constant, say along the x-axis, then it is necessarily true that

v^2=2ax. (where v at time t=0 is zero).

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