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Hftqdxpm

01-19-2012 10:40 PM

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

ancexiaepidge

01-19-2012 10:57 PM

Kinetic to potential energy?

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

v = square root of 2gh.
or
v = (2gh)^-2.

sesWaipunsaws

01-19-2012 10:59 PM

Quote:

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?

Spalax

01-19-2012 11:02 PM

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

--- Post Update ---

Quote:

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 ?)

JOR4qxYH

01-19-2012 11:16 PM

Quote:

Is it (M*V)^2 or M*V^2?

I believe it's (mv^2)/2 (not positive about the lower case, though.)

lopezsokero

01-20-2012 12:06 AM

If it's (MV)^2 then Gordo's answer should be right

Quote:

v = (2gh)^-2.

arriftell

01-20-2012 12:07 AM

Quote:

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.

ptmQqoxw

01-20-2012 01:51 AM

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 :p

btw where are the smileys from before because these suck badly?

smazibummigue

01-20-2012 10:50 AM

Quote:

btw where are the smileys from before because these suck badly?

That's something even EaG seems to agree with you on :peaceful:

broksaksaak

01-20-2012 09:05 PM

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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