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Old 01-19-2012, 10:40 PM   #1
Hftqdxpm

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Default Mathematics question
mv squared divided by 2=mgh (make v the subject ?)
This is for my boy ,If anyone can help could they include the workings out ty in advance

--- Post Update ---

This is what I got ,but not sure if I did it right
The masses cancel out on both sides.
You're left with:
gh = 1/2v^2
multiply both sides by 2 and you end up with:
2gh = v^2
take the square root of both sides and you have:

v = the square root of 2gh
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Old 01-19-2012, 10:57 PM   #2
ancexiaepidge

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Kinetic to potential energy?

You dropped the h (height?) in the last line.

v = square root of 2gh.
or
v = (2gh)^-2.
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Old 01-19-2012, 10:59 PM   #3
sesWaipunsaws

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mv squared divided by 2=mgh (make v the subject ?)This is for my boy ,If anyone can help could they include the workings out ty in advance--- Post Update ---This is what I got ,but not sure if I did it right The masses cancel out on both sides.You're left with:gh = 1/2v^2multiply both sides by 2 and you end up with:2gh = v^2take the square root of both sides and you have:v = the square root of 2g
Is it (M*V)^2 or M*V^2?
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Old 01-19-2012, 11:02 PM   #4
Spalax

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copy paste error thanks for clearing that up are my workings out ok to go into an assignment .

--- Post Update ---

Is it (M*V)^2 or M*V^2?
not sure this was how it was sent . mv squared divided by 2=mgh (make v the subject ?)
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Old 01-19-2012, 11:16 PM   #5
JOR4qxYH

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Is it (M*V)^2 or M*V^2?
I believe it's (mv^2)/2 (not positive about the lower case, though.)
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Old 01-20-2012, 12:06 AM   #6
lopezsokero

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If it's (MV)^2 then Gordo's answer should be right
v = (2gh)^-2.
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Old 01-20-2012, 12:07 AM   #7
arriftell

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I believe it's (mv^2)/2 (not positive about the lower case, though.)
That's correct. As you note, it's conversion of gravitational potential energy to kinetic energy in Newtonian mechanics and the letters should generally be lower case unless the question specifies variables separately.
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Old 01-20-2012, 01:51 AM   #8
ptmQqoxw

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man I should have paid more attention in class... solving to a variable is easy, but understanding the meaning of it all is a whole other matter

btw where are the smileys from before because these suck badly?
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Old 01-20-2012, 10:50 AM   #9
smazibummigue

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btw where are the smileys from before because these suck badly?
That's something even EaG seems to agree with you on eaceful:
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Old 01-20-2012, 09:05 PM   #10
broksaksaak

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Interesting fact: (ax2)/2 is a quadratic form and is used as a model all over physics, such as:
  • When a = circumference and x = radius: circle area
  • When a = mass and x = velocity: kinetic energy
  • When a = spring constant and x = displacement from rest: spring energy
  • When a = acceleration and x = time: distance traveled
  • When a = gravitational acceleration and x = time: distance fallen (specific form of the preceding equation)
  • When a = capacitance and x = voltage: stored energy in a capacitor
That is all I can think of the top of my head. There are some in nearly every field that I do not remember - quantum physics, chemistry, etc.
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