Spring potential energy comparison

[tourniquet63]

Homework Statement

A 0.10 m spring is stretched from equilibrium position to position A and then to position B as shown in the diagram below. Compared to the spring’s potential energy at A, what is its potential energy at B?

Homework Equations

PE = 1/2 kx^2

The Attempt at a Solution

Having trouble with this one. Is it twice as much or four times as much?

 

[PhanthomJay]

Please retype the problem statement, the question is missing.
Please fill in section 2 also.
And state or show how you arrived at your answer.

Thanks, and welcome to these forums!

 

[tourniquet63]

Ooops! thanks

 

[PhanthomJay]

In your relevant equation, what is the description of 'x'...what distance is it describing?

 

[tourniquet63]

x is the distance the spring is compressed or stretched

 

[PhanthomJay]

x is the distance the spring is compressed or stretched

Ok so in the first part it is stretched a certain distance and in the second part it is stretched double that distance. Since the PE equation includes an x^2 term, if x doubles then the PE must be ___?___ times greater.