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## Homework Statement

Since the total energy in a spring is

(1/2)kA^2

Can we rearrange this...

given k=F/x

(1/2)(FA^2/x)

Since x is also the amplitude, we have:

(1/2)(FA)

(1/2)(mgA)

I am pretty sure this is wrong, but why?

Thanks

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- Thread starter JustinLiang
- Start date

- #1

- 81

- 0

Since the total energy in a spring is

(1/2)kA^2

Can we rearrange this...

given k=F/x

(1/2)(FA^2/x)

Since x is also the amplitude, we have:

(1/2)(FA)

(1/2)(mgA)

I am pretty sure this is wrong, but why?

Thanks

- #2

PhanthomJay

Science Advisor

Homework Helper

Gold Member

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yes, where F is the max force in the spring and A is the absolute value of x.## Homework Statement

Since the total energy in a spring is

(1/2)kA^2

Can we rearrange this...

given k=F/x

(1/2)(FA^2/x)

Since x is also the amplitude, we have:

(1/2)(FA)

Only if F = mg, as when a mass is attached from a hanging spring and released.(1/2)(mgA)

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