I’m a bit confused, why does the elastic potential energy equation have two different abreviation of extension, for example one equation says: 1/2 kx^2 ,but another says kx^2, i don’t know which ones right?
There are two expressions one can use to show the elastic potential energy:
Elastic Potential Energy = 1/2 * spring constant * extension^2 (1/2kx^2)
Elastic Potential Energy = Force * extension (Fx)
ke^2 is not a correct expression for elastic potential energy. In some textbooks e is used instead of x to denote extension, so both 1/2kx^2 and 1/2ke^2 can be used to show elastic potential energy, but ke^2 is definitely not the right expression.
I hope this helps! Please let me know if you have any further questions.
There are two expressions one can use to show the elastic potential energy:
Elastic Potential Energy = 1/2 * spring constant * extension^2 (1/2kx^2)
Elastic Potential Energy = Force * extension (Fx)
ke^2 is not a correct expression for elastic potential energy. In some textbooks e is used instead of x to denote extension, so both 1/2kx^2 and 1/2ke^2 can be used to show elastic potential energy, but ke^2 is definitely not the right expression.
I hope this helps! Please let me know if you have any further questions.
As Shri said, e and x are used interchangeably, but the equation will always have the 1/2. Any equation omitting that 1/2 is incorrect.
I meant ke^2